René Lozi

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Publications

Asymptotically period-doubling and Neimark–Sacker bifurcation controls of discrete fractional predator–prey systems

Hu-Shuang Hou , Guo-Cheng Wu , René Lozi , Zhi-Wen Mo

Chaos, Solitons & Fractals, 2026, 208, pp.118078

Article dans une revue hal-05523889v1

Asymptotically period doubling bifurcation of fractional difference equations

Hu-Shuang Hou , Guo-Cheng Wu , René Lozi , Zhi-Wen Mo

Mathematics and Computers in Simulation, 2025, 240, pp.982-999. ⟨10.1016/j.matcom.2025.08.017⟩

Article dans une revue hal-05226782v1

Bifurcation Analysis of a Cournot Triopoly Game with Bounded Rationality and Chaos Control Via the OGY Method

Mourad Azioune , Mohammed Salah Abdelouahab , René Lozi

International journal of bifurcation and chaos in applied sciences and engineering , 2025, ⟨10.1142/S0218127425300198⟩

Article dans une revue hal-05067925v1

Standing on the Shoulders of Galileo, Newton, and Poincaré: A Brief Reasoned History of the Chaotic Dynamical Systems and the People Who Shaped Them

René Lozi

International journal of bifurcation and chaos in applied sciences and engineering , 2025, 35 (14), 2540002 (46 p.). ⟨10.1142/S0218127425400024⟩

Article dans une revue hal-05355980v1

Neimark–Sacker Bifurcation of Discrete Fractional Chaotic Systems

Guo-Cheng Wu , Hu-Shuang Hou , René Lozi

International journal of bifurcation and chaos in applied sciences and engineering , 2025, 35 (4), pp.2550049. ⟨10.1142/S021812742550049X⟩

Article dans une revue hal-04972655v1

Analysis of Hopf bifurcation and time-delayed control inmulti-scroll chaotic attractors produced by parallel transformation

Zaamoune Faiza , Tidjani Menacer , René Lozi

International Journal of Dynamics and Control, 2025, pp.13:85. ⟨10.1007/s40435-025-01584-y⟩

Article dans une revue hal-04912329v1
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Global dynamics of discrete mathematical models of tuberculosis

Saber Elaydi , René Lozi

Journal of Biological Dynamics, 2024, 18 (1), pp.2323724. ⟨10.1080/17513758.2024.2323724⟩

Article dans une revue hal-04548634v1
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Analyzing stability and bifurcations in a new discrete system derived from a fractional order continuous chaotic system

Barkat Radhia , Lozi René , Menacer Tidjani

Studies in Engineering and Exact Sciences, 2024, 5 (2), pp.01-32. ⟨10.25073/jaec.201934.256⟩

Article dans une revue hal-04878059v1

Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise

E. Rybalova , V. Averyanov , René Lozi , G. Strelkova

Chaos, Solitons & Fractals, 2024, 184, pp.115051. ⟨10.1016/j.chaos.2024.115051⟩

Article dans une revue hal-04605624v1

A novel compartimental VSLIT model used to analyze the dynamics of tuberculosis in Algeria and Ukraine and the assesment of vaccination and treatment effects

Bouchra Chennaf , Mohammed Salah Abdelouahab , René Lozi

Ukrainian Mathematical Journal, 2024, 75 (12), pp.1932-1947. ⟨10.1007/s11253-024-02301-2⟩

Article dans une revue hal-04696179v1

The paths of nine mathematicians to the realm of dynamical systems

René Lozi , Vladimir Belykh , Jim Michael Cushing , Lyudmila Efremova , Saber Elaydi et al.

Journal of Difference Equations and Applications, 2024, 30 (1), pp.1-89. ⟨10.1080/10236198.2024.2314411⟩

Article dans une revue hal-04688197v1

Book Review: Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity, by Saber Elaydi

René Lozi

Journal of Difference Equations and Applications, 2024, 30 (5), pp.670-675. ⟨10.1080/10236198.2024.2316001⟩

Article dans une revue hal-04558337v1

Research on actual or industrial applications of difference equations: a chimerical task?

René Lozi

Journal of Difference Equations and Applications, 2024, Special Issue dedicated to Saber Elaydi on the occasion of his 80th birthday, 30 (10), pp.1438-1492. ⟨10.1080/10236198.2023.2228926⟩

Article dans une revue hal-04708202v1

Right Hadamard fractional differences and summation by parts

Jia-Li Wei , Guo-Cheng Wu , René Lozi

Rocky Mountain Journal of Mathematics, 2024, 184 (3), pp.895-908. ⟨10.1216/rmj.2024.54.895⟩

Article dans une revue hal-04685937v1

Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system

Nadjet Boudjerida , Mohammed Salah Abdelouahab , René Lozi

Journal of Difference Equations and Applications, 2023, 23 (9-12), pp.1369-1390. ⟨10.1080/10236198.2023.2172334⟩

Article dans une revue hal-04561520v1
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Coexistence of Thread and Sheet Chaotic Attractors for Three-Dimensional Lozi Map

René Lozi

Dynamics, 2023, 3 (2), pp.315-344. ⟨10.3390/dynamics3020019⟩

Article dans une revue hal-04542935v1

Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’

René Lozi , Lyudmila Efremova , Mohammed Salah Abdelouahab , Safwan El Assad , Michal Pluhacek

Journal of Difference Equations and Applications, 2023, Special Issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications', 29 (9-12), pp.861-875. ⟨10.1080/10236198.2023.2267824⟩

Article dans une revue hal-04571575v1

A NOVEL COMPARTMENTAL VSLIT MODEL USED TO ANALYZE THE DYNAMICS OF TUBERCULOSIS IN ALGERIA AND UKRAINE AND THE ASSESSMENT OF VACCINATION AND TREATMENT EFFECTS

Bouchra Chennaf , Mohammed Salah Abdelouahab , René Lozi

Ukrainian Mathematical Journal, 2023, 75 (12), pp.1709-1722. ⟨10.3842/umzh.v75i12.7658⟩

Article dans une revue hal-04698063v1
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Analysis of the Dynamics of Tuberculosis in Algeria Using a Compartmental VSEIT Model with Evaluation of the Vaccination and Treatment Effects

Bouchra Chennaf , Mohammed Salah Abdelouahab , René Lozi

Computation, 2023, 11 (7), pp.146. ⟨10.3390/computation11070146⟩

Article dans une revue hal-04549426v1
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Are Chaotic Attractors just a Mathematical Curiosity or Do They Contribute to the Advancement of Science?

René Lozi

Chaos theory and applications, 2023, 5 (3), pp.133-140

Article dans une revue hal-04527691v1
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Green Computing for Energy Transition: A Survey

Thalita Nazaré , Josefredo Gadelha , Erivelton Nepomuceno , René Lozi

IEEE Latin America Transactions, 2023, Special Issue on Sustainable Energy Sources for an Energy Transition, 21 (9), pp.937-948. ⟨10.1109/tla.2023.10251799⟩

Article dans une revue hal-04572746v1
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The Routh Hurwitz Criteria for Studying The Stability and Bifurcation in Multispiral Chua Chaotic Attractor

Maika Belouerghi , Tidjani Menacer , René Lozi

Mendel soft computing journal, 2023, 29 (1), pp.71-83. ⟨10.13164/mendel.2023.1.071⟩

Article dans une revue hal-04572519v1
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Softcomputing in identification of the origin of Voynich manuscript by comparison with ancient dialects

Ivan Zelinka , Melvin Lara , Leah C Windsor , René Lozi

Applied Soft Computing, 2023, 138, pp.110217. ⟨10.1016/j.asoc.2023.110217⟩

Article dans une revue hal-04572644v1
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Survey of Recent Applications of the Chaotic Lozi Map

René Lozi

Algorithms, 2023, 16 (10), pp.491. ⟨10.3390/a16100491⟩

Article dans une revue hal-04533393v1

Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions

Habiba Meskine , Mohammed Salah Abdelouahab , René Lozi

Journal of Difference Equations and Applications, 2023, 23 (9-12), pp.1503-1515. ⟨10.1080/10236198.2023.2228421⟩

Article dans une revue hal-04561243v1
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Mem-fractive Properties of Mushrooms

Alexander E Beasley , Mohammed-Salah Abdelouahab , René Lozi , Michail-Antisthenis Tsompanas , Anna L Powell et al.

Bioinspiration & Biomimetics, 2022, ⟨10.1088/1748-3190/ac2e0c⟩

Article dans une revue hal-02540744v1

Enhanced design and hardware implementation of a chaos-based block cipher for image protection

Mahdi Madani , Safwan El Assad , Fethi Dridi , René Lozi

Journal of Difference Equations and Applications, 2022, Special Issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications, 29 (9-12), pp.1408-1428. ⟨10.1080/10236198.2022.2069496⟩

Article dans une revue hal-03807466v1
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Principales tendances dans l'évolution de la poésie visuelle russe actuelle : histoire et théorie

Anna Gik , Elina Absalyamova , Nicole Biagioli , René Lozi

Loxias, 2022, Les nouvelles tendances de la création calligrammatique, 72

Article dans une revue hal-04076521v1
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Design, Implementation, and Analysis of a Block Cipher Based on a Secure Chaotic Generator

Fethi Dridi , Safwan El Assad , Wajih El Hadj Youssef , Mohsen Machhout , René Lozi

Applied Sciences, 2022, 12 (19), pp.9252. ⟨10.3390/app12199952⟩

Article dans une revue hal-03799417v2
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Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit

Nadjet Boudjerida , Mohammed Salah Abdelouahab , René Lozi

Journal of Innovative Applied Mathematics and Computational Sciences, 2022, 2 (3), pp.69-85

Article dans une revue hal-04709291v1
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On periodic solutions of fractional-order differential systems with a fixed length of sliding memory

Safa Bourafa , Mohammed Salah Abdelouahab , René Lozi

Journal of Innovative Applied Mathematics and Computational Sciences, 2021, 1 (1), pp.64-78. ⟨10.58205/jiamcs.v1i1.6⟩

Article dans une revue hal-03513190v1

Bifurcation analysis of a model of tuberculosis epidemic with treatment of wider population suggesting a possible role in the seasonality of this disease

Mohammed-Salah Abdelouahab , René Lozi , A. Arama

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021, 31, pp.123125. ⟨10.1063/5.0057635⟩

Article dans une revue hal-03498071v1
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The Design and FPGA-Based Implementation of a Stream Cipher Based on a Secure Chaotic Generator

Fethi Dridi , Safwan El Assad , Wajih El Hadj Youssef , Mohsen Machhout , René Lozi

Applied Sciences, 2021, 11 (2), pp.625. ⟨10.3390/app11020625⟩

Article dans une revue hal-03106699v1
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Some elements for a history of the dynamical systems theory

Christophe Letellier , Ralph Abraham , Dima Shepelyansky , Otto E Rössler , Philip Holmes et al.

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021, 31 (5), pp.053110. ⟨10.1063/5.0047851⟩

Article dans une revue hal-03230576v1
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Geometrical model of spiking and bursting neuron on a mug-shaped branched manifold

Mohamed Gheouali , Tounsia Benzekri , René Lozi , Guanrong Chen

International Journal of Bifurcation and Chaos (IJBC), 2020, 30 (5), pp.2030044. ⟨10.1142/S021812742030044X⟩

Article dans une revue hal-02878585v1
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Mixed-Mode Oscillations Based on Complex Canard Explosion in a Fractional-Order Fitzhugh-Nagumo Model

René Lozi , Mohammed-Salah Abdelouahab , Guanrong Chen

Applied Mathematics and Nonlinear Sciences, 2020, 5 (2), pp.239-256. ⟨10.2478/AMNS.2020.2.00047⟩

Article dans une revue hal-02541322v1

On fractional–order discrete–time systems: Chaos, stabilization and synchronization

Amina-Aicha Khennaoui , Adel Ouannas , Samir Bendoukha , René Lozi , Giuseppe Grassi et al.

Chaos, Solitons & Fractals, 2019, 119, pp.150-162

Article dans une revue hal-02021102v1
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Symmetries in Hidden Bifurcation Routes to Multiscroll Chaotic Attractors Generated by Saturated Function Series

Faiza Zaamoune , Tidjani Menacer , René Lozi , Guanrong Chen

Journal of Advanced Engineering and Computation, 2019, 3 (4), pp.511-522. ⟨10.25073/jaec.201934.256⟩

Article dans une revue hal-03032392v1
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Hopf Bifurcation and Chaos in Simplest Fractional-Order Memristor-based Electrical Circuit

Malika Belouerghi , Tidjani Menacer , René Lozi

Indian Journal of Industrial and Applied Mathematics, 2019, 10 (1), pp.13-33. ⟨10.5958/1945-919X.2019.00020.3⟩

Article dans une revue hal-03044722v1
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Complex Canard Explosion in a Fractional-Order FitzHugh–Nagumo Model

Mohammed-Salah Abdelouahab , René Lozi , Guanrong Chen

International journal of bifurcation and chaos in applied sciences and engineering , 2019, 29 (08), pp.1950111. ⟨10.1142/S0218127419501116⟩

Article dans une revue hal-03041670v1
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Hopf-like Bifurcation And Mixed Mode Oscillation In A Fractional-Order FitzHugh-Nagumo Model

Mohammed-Salah Abdelouahab , René Lozi

AIP Conference Proceedings, 2019, 2183, pp.100003-1 100003-4. ⟨10.1063/1.5136214⟩

Article dans une revue hal-02883191v1
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Design and Analysis of two Stream Ciphers Based on Chaotic Coupling and Multiplexing techniques

Ons Jallouli , Safwan El Assad , Maryline Chetto , René Lozi

Multimedia Tools and Applications, 2017, 77 (11), pp.13391-13417. ⟨10.1007/s11042-017-4953-x⟩

Article dans une revue hal-01534443v1

On the Origins of Currencies

René Lozi

Inference: International Review of Science, 2017, 3 (1), ⟨10.37282/991819.17.20⟩

Article dans une revue hal-04697541v1
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How useful randomness for cryptography can emerge from multicore-implemented complex networks of chaotic maps

Jean-Pierre Lozi , René Lozi , Oleg Garasym

Journal of Difference Equations and Applications, 2017, 23 (5), pp.821-859. ⟨10.1080/10236198.2017.1287176⟩

Article dans une revue hal-01742568v1
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Robust PRNG based on homogeneously distributed chaotic dynamics

Oleg Garasym , René Lozi , Ina Taralova

Journal of Physics: Conference Series, 2016, NOMA'15 International Workshop on Nonlinear Maps and Applications, 692, pp.012001. ⟨10.1088/1742-6596/692/1/012011⟩

Article dans une revue hal-01281815v2
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Hidden bifurcation in the Multispiral Chua Attractor

Menacer Tidjani , René Lozi , Leon L. O. Chua

International journal of bifurcation and chaos in applied sciences and engineering , 2016, 26 (14), pp.1630039-1 1630023-26. ⟨10.1142/S0218127416300391⟩

Article dans une revue hal-01488550v1
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A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities

René Lozi , Vasily A. Pogonin , Alexander N. Pchelintsev

Chaos, Solitons & Fractals, 2016, 91, pp.108-114. ⟨10.1016/j.chaos.2016.05.010⟩

Article dans une revue hal-01319597v1
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A New Reliable Numerical Method for Computing Chaotic Solutions of Dynamical Systems: The Chen Attractor Case

René Lozi , Alexander N. Pchelintsev

International journal of bifurcation and chaos in applied sciences and engineering , 2015, 25 (13), pp.1550187. ⟨10.1142/S0218127415501874⟩

Article dans une revue hal-01323625v1
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Max Charvolen : l'information mise en relief

René Lozi

Il Particolare : art, littérature, théorie critique, 2015, Cahier: Max Charvolen, 29, pp.121-151

Article dans une revue hal-00691006v2
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Application of observer-based chaotic synchronization and identifiability to original CSK model for secure information transmission

Oleg Garasym , Ina Taralova , René Lozi

Indian Journal of Industrial and Applied Mathematics, 2015, 6 (1), pp.1-26. ⟨10.5958/1945-919X.2015.00001.8⟩

Article dans une revue hal-01170136v2
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Hopf Bifurcation and Chaos in Simplest Fractional-Order Memristor-based Electrical Circuit

Mohammed-Salah Abdelouahab , René Lozi

Indian Journal of Industrial and Applied Mathematics, 2015, 6 (2), pp.105-109. ⟨10.5958/1945-919X.2015.00009.2⟩

Article dans une revue hal-01324465v1
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Memfractance: A Mathematical Paradigm for Circuit Elements with Memory

Mohammed-Salah Abdelouahab , René Lozi , Leon L. O. Chua

International journal of bifurcation and chaos in applied sciences and engineering , 2014, 24 (9), pp.1430023- 1430023-29. ⟨10.1142/S0218127414300237⟩

Article dans une revue hal-01322396v1
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Designing Chaotic Mathematical Circuits for Solving Practical Problems

René Lozi

International Journal of Automation and Computing, 2014, Recent Advances on Complex Systems Control, Modelling and Prediction II, 11 (6), pp.588-597. ⟨10.1007/s11633-014-0839-9⟩

Article dans une revue hal-01326725v1
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From Chaos to Randomness via Geometric Undersampling

René Lozi , Ina Taralova

ESAIM: Proceedings and Surveys, 2014, ECIT 2012, 46, pp.177-195. ⟨10.1051/proc/201446015⟩

Article dans une revue hal-00813087v1
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Engineering of mathematical chaotic circuits

René Lozi

Advances in Intelligent Systems and Computing, 2013, 210, pp.17-29

Article dans une revue hal-00809583v2
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Can we trust in numerical computations of chaotic solutions of dynamical systems ?

René Lozi

World Scientific Series on Nonlinear Science, 2013, Topology and Dynamics of Chaos In Celebration of Robert Gilmore's 70th Birthday, 84, pp.63-98. ⟨10.1142/9789814434867_0004⟩

Article dans une revue hal-00682818v1
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New alternate ring-coupled map for multi-random number generation

Andrea Espinel Rojas , Ina Taralova , René Lozi

Journal of Nonlinear Systems and Applications, 2013, 4 (1), pp.64-69

Article dans une revue hal-00816336v2
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Blondel et les oscillations auto-entretenues

Jean-Marc Ginoux , René Lozi

Archive for History of Exact Sciences, 2012, 66 (5), pp.485-530. ⟨10.1007/s00407-012-0101-1⟩

Article dans une revue hal-01057276v2
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Regular Subsampling Process Assessment Based on Parameter Estimation

Léa Dominique Cot , René Lozi

International Journal of Chaotic Computing, 2012, 1, pp.3-13. ⟨10.20533/ijcc.2046.3359.2012.0001⟩

Article dans une revue hal-01338520v1
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EMERGENCE OF RANDOMNESS FROM CHAOS

René Lozi

International journal of bifurcation and chaos in applied sciences and engineering , 2012, 22 (02), pp.1250021-1. ⟨10.1142/S0218127412500216⟩

Article dans une revue hal-01326704v1
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An improved chaotic optimization algorithm using a new global locally averaged strategy

Tayeb Hamaizia , René Lozi

Journal of Nonlinear Systems and Applications, 2012, 3 (3-4), pp.58-63

Article dans une revue hal-01333653v1
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Exact and asymptotic synchronization of a new weakly coupled maps system

Sebastien Hénaff , Ina Taralova , René Lozi

Journal of Nonlinear Systems and Applications, 2010, 1 (3-4), pp.87-95

Article dans une revue hal-00423012v1
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Global Orbit Patterns for One Dimensional Dynamical Systems

René Lozi , Clarisse Fiol

Grazer Math. Ber., 2009, ITERATION THEORY (ECIT ‘08), A.N. Sharkovsky, I.M. Sushko (Eds.) (354), pp.112-144

Article dans une revue hal-00361853v3
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Global Orbit Patterns for Dynamical Systems On Finite Sets

René Lozi , Clarisse Fiol

AIP Conference Proceedings, 2009, 1146, pp.303-331. ⟨10.1063/1.3183549⟩

Article dans une revue hal-00369247v1
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Statistical and spectral analysis of a new weakly coupled maps system

Sebastien Hénaff , Ina Taralova , René Lozi

Indian Journal of Industrial and Applied Mathematics, 2009, 2 (2), pp. 1-17

Article dans une revue hal-00412627v2

New Enhanced Chaotic Number Generators

René Lozi

Indian Journal of Industrial and Applied Mathematics, 2008, 1 (1), pp.1-23

Article dans une revue hal-00258028v1

Slow manifolds of some chaotic systems with application to laser systems

Sofiane Ramdani , Bruno Rossetto , Leon Chua , René Lozi

International journal of bifurcation and chaos in applied sciences and engineering , 2000, 10 (12), pp.2729-2744. ⟨10.1142/S0218127400001808⟩

Article dans une revue hal-04697885v1

Fitting trapping regions for Chua's attractor _ A novel method based on isochronic lines

Soraya Boughaba , René Lozi

International journal of bifurcation and chaos in applied sciences and engineering , 2000, 10 (1), pp.2025-225. ⟨10.1142/S0218127400000128⟩

Article dans une revue hal-04690706v1

The theory of confinors in Chua's circuit: accurate analysis of bifurcations and attractors

René Lozi , Shigehiro Ushiki

International journal of bifurcation and chaos in applied sciences and engineering , 1993, 3 (2), pp.333-361. ⟨10.1142/S0218127493000258⟩

Article dans une revue hal-04691059v1

Secure communications via chaotic synchronization II: noise reduction by cascading two identical receivers

René Lozi , Leon L. O. Chua

International journal of bifurcation and chaos in applied sciences and engineering , 1993, 3 (5), pp.1319-1325. ⟨10.1142/S0218127493001070⟩

Article dans une revue hal-04690586v1

Confinors and bounded-time patterns in Chua's circuit and the double scril family

René Lozi , Shigehiro Ushiki

International journal of bifurcation and chaos in applied sciences and engineering , 1991, 1 (1), pp.119-138. ⟨10.1142/S0218127491000099⟩

Article dans une revue hal-04691094v1

Coexisting chaotic attractors in Chua's circuit

Shigehiro Ushiki , René Lozi

International journal of bifurcation and chaos in applied sciences and engineering , 1991, 1 (4), pp.923-926. ⟨10.1142/S021812749100066X⟩

Article dans une revue hal-04691058v1

Confinor and anti-confinor in constrained "Lorenz" system

Shigehiro Ushiki , René Lozi

japan journal of applied mathematics, 1987, 4 (3), pp.433-454. ⟨10.1007/BF03167814⟩

Article dans une revue istex hal-04691096v1
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CONVECTION ENTRE DEUX PLAQUES PLANES EN ROTATION ET EFFET DYNAMO RÉSULTANT D'UNE BIFURCATION SECONDAIRE

G. Iooss , René Lozi

Journal de Physique Colloques, 1978, 39 (C5), pp.C5-15-C5-15. ⟨10.1051/jphyscol:1978508⟩

Article dans une revue jpa-00217473v1
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UN ATTRACTEUR ÉTRANGE (?) DU TYPE ATTRACTEUR DE HÉNON

René Lozi

Journal de Physique Colloques, 1978, 39 (C5), pp.C5-9-C5-10. ⟨10.1051/jphyscol:1978505⟩

Article dans une revue jpa-00217470v1

A computing method for bifurcation boughs of nonlinear eigenvalue problems

René Lozi

Bulletin of the American Mathematical Society, 1975, 81 (6), pp.1127-1129. ⟨10.1090/S0002-9904-1975-13950-4⟩

Article dans une revue hal-04691504v1

Semi-stable Periodic Orbits of the Deterministic Chaotic Systems Designed by means of Genetic Programming

Radomil Matousek , Tomas Hulka , Jakub Kudela , René Lozi

2024 IEEE Congress on Evolutionary Computation (CEC), Jun 2024, Yokohama, Japan. pp.1-7, ⟨10.1109/CEC60901.2024.10611935.⟩

Communication dans un congrès hal-04684953v1

Stabilization of Higher Periodic Orbits of Chaotic maps using Permutation-selective Objective Function

Tomas Hulka , Radomil Matousek , René Lozi

2022 IEEE Workshop on Complexity in Engineering (COMPENG), Aug 2022, Florence, Italy. ⟨10.1109/COMPENG50184.2022.9905436⟩

Communication dans un congrès hal-03829315v1

Stabilization of Higher Periodic Orbits of the Lozi and Hénon Maps using Meta-evolutionary Approaches

Radomil Matousek , René Lozi , Tomas Hulka

2021 IEEE Congress on Evolutionary Computation (CEC), Jun 2021, Kraków, Poland. pp.572-579, ⟨10.1109/CEC45853.2021.9504798⟩

Communication dans un congrès hal-03320202v1

Assessing the importance of town configuration on crowd evacuation dynamics in the course of terrorist attack, using a dynamical model

René Lozi , Damienne Provitolo , Emmanuel Tric

Mendel 2019, 25th International Conference on Soft Computing, Jul 2019, Brno, Czech Republic

Communication dans un congrès halshs-02487475v1

From observation to mathematical modeling of human behaviour in the face of disasters : an example of transdisciplinary research

Damienne Provitolo , René Lozi , Emmanuel Tric

International Symposium on Computational Science and its Applications, Feb 2018, Greater Noida - Sharda University, India

Communication dans un congrès halshs-02487490v1

Topological analysis of a Coupled Weighted Panic Control Reflex (CWPCR) model in the context of terrorist attack

René Lozi , Damienne Provitolo , Emmanuel Tric

International Conference & 14th Biennial Conference of Indian Society of Industrial and Applied Mathematics, Indian Society of Industrial and Applied Mathematics, Feb 2018, Amritsar, Guru Nanak Dev University,, India

Communication dans un congrès halshs-02487494v1

A Novel Chaotic Generator Based On Weakly-coupled Discrete Skewtent Maps

Ons Jallouli , Safwan El Assad , Maryline Chetto , René Lozi , Daniel Caragata

International Conference on Internet Technology and Secured Transactions, Dec 2015, Londres, United Kingdom. pp.38-43, ⟨10.1109/ICITST.2015.7412052⟩

Communication dans un congrès hal-01250257v1
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Exploring some topologies of coupled chaotic networks

Oleg Garasym , René Lozi , Ina Taralova

NOMA'15, International Workshop on Nonlinear Maps and their Applications, Elena Blokhina, Orla Feely, Jun 2015, Dublin, Ireland. pp.34-39

Communication dans un congrès hal-01170124v1

An efficient pseudo chaotic number generator based on coupling and multiplexing techniques

Ons Jallouli , Safwan El Assad , Mohammad Abu Taha , Maryline Chetto , René Lozi et al.

International Conference on Emerging Security Information, Systems and Technologies (SECURWARE 2016), Jul 2016, Nice, France. paper#30040

Communication dans un congrès hal-01318805v1
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Bifurcation Analysis and Chaos in Simplest Fractional-order Electrical Circuit

Mohammed-Salah Abdelouahab , René Lozi

IEEE 3rd International Conference on Control, Engineering & Information Technology (CEIT), May 2015, Tlemcen, Algeria. pp.1-5, ⟨10.1109/CEIT.2015.7233122⟩

Communication dans un congrès hal-01337180v1
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Exploration of topologies of coupled nonlinear maps (Chaos theory)

René Lozi

21st International Conference on Soft Computing (MENDEL 2015), Matoušek Radek, Jun 2015, Brnö, Czech Republic. pp.223-236

Communication dans un congrès hal-01336429v1
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Mathematical chaotic circuits: an efficient tool for shaping numerous architectures of mixed chaotic/peudo random number generators

René Lozi

International Conference on Soft Computing MENDEL 2014, Jun 2014, Brnö, Czech Republic. pp.163-176

Communication dans un congrès hal-01027571v1

Lightweight chaos-based cryptosystem for secure images

Zeinab Fawaz , Safwan El Assad , Mousa Farajallah , Ayman Khalil , René Lozi et al.

8th International Conference on Internet Technology and Secured Transactions 2013: ISTP Workshop, Dec 2013, Londres, United Kingdom. pp.ID-276

Communication dans un congrès hal-00872265v1
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DEMONTRER EN MATHÉMATIQUES : UNE PRATIQUE FRAPPÉE D'OBSOLESCENCE ?

Jean-Philippe Drouhard , René Lozi

Troisième Colloque international de l'Association pour les Recherches Comparatistes en Didactique, E.A. "ADEF" "E.A. 6308" I3DL, Instiitut Français d'Education-ENS Lyon, Jan 2013, Marseille, France. page 105 (+ 8 p.)

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SAVOIRS MATHEMATIQUES ET COMPETENCES : ETUDE DES EFFETS DE TRANSPOSITION DES SOLIDES GEOMETRIQUES DANS LA FILIERE PRODUCTIQUE-USINAGE EN LYCEE PROFESSIONNEL

Nathalie Auxire , Nicole Biagioli , René Lozi

Troisième Colloque International de l'Association pour des Recherches Comparatistes en Didactique, Association pour des Recherches Comparatistes en Didactique, Jan 2013, Marseille, France. page 66 (+ 8 p.)

Communication dans un congrès hal-00752978v1
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COMPLEX SYSTEMS IN EDUCATION: INTERNATIONAL STUDY OF MULTIDISCIPLINARY INTERACTIONS FOR PROMOTING THE LEARNING OF MATHEMATICS AND SCIENCE

René Lozi , Nicole Biagioli

SOMC'2012 within ECCS'12, European Conference on Complex Systems, Sep 2012, Brussels, Belgium. p. 17-28

Communication dans un congrès hal-00753088v1
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Assessing the Security of Subsampling Process Using Modified EKF and Nonlinear Least Squares Methods

Léa Dominique Cot , René Lozi

ICITST-2012, Dec 2012, London, United Kingdom. pp.27-31

Communication dans un congrès hal-01338203v1

Chaotic generator synthesis: Dynamical and statistical analysis

Ina Taralova , René Lozi , Safwan El Assad

7th International Conference on Internet Technology and Secured Transactions (ISTP) Workshop ICITST 2012, Dec 2012, LONDRES, United Kingdom. pp. 56-59

Communication dans un congrès hal-00743959v1
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Noise-resisting ciphering based on a chaotic multi-stream pseudo-random number generator

René Lozi , Estelle Cherrier

IEEE, 6th International Conference for Internet Technology and Secured Transactions, ICITST-2011, Dec 2011, Abu Dhabi, United Arab Emirates. pp.91-96

Communication dans un congrès hal-00617051v1
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IMPROVING CHAOTIC OPTIMIZATION ALGORITHM USING A NEW GLOBAL LOCALLY AVERAGED STRATEGY

Tayeb Hamaizia , René Lozi

Emergent Properties in Natural and Artificial Complex Systems, Sep 2011, Vienne, Austria. pp. 17-20

Communication dans un congrès hal-00607824v1
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NEW ALTERNATE LOZI FUNCTION FOR RANDOM NUMBER GENERATION

Andrea Espinel Rojas , Ina Taralova , René Lozi

EPNACS 2011 within ECCS'11, Sep 2011, Vienne, Austria. pp.13-15

Communication dans un congrès hal-00622989v1
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DYNAMICAL AND STATISTICAL ANALYSIS OF A NEW LOZI FUNCTION FOR RANDOM NUMBERS GENERATION

Andrea Espinel Rojas , Ina Taralova , René Lozi

PHYSCON 2011, Sep 2011, León, Spain

Communication dans un congrès hal-00623064v1
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Observers design for a new weakly coupled map function

Sebastien Hénaff , Ina Taralova , René Lozi

ICCSA 2009 The 3rd International Conference on Complex Systems and Applications, Jun 2009, Le Havre, France. pp.47-50

Communication dans un congrès hal-00368576v1
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Dynamical Analysis of a new statistically highly performant deterministic function for chaotic signals generation

Sebastien Hénaff , Ina Taralova , René Lozi

4th International Conference on Physics and Control (PhysCon 2009), Univ. of Catania and IPACS, Sep 2009, Catania, Italy

Communication dans un congrès hal-00368844v1
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Chaotic Pseudo Random Number Generators via Ultra Weak Coupling of Chaotic Maps and Double Threshold Sampling Sequences

René Lozi

ICCSA 2009, 3rd Conference on Complex Systems and Applications., Jun 2009, Le Havre, France. pp.20-24

Communication dans un congrès hal-00386292v1
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Chaotic Sampling, Very Weakly Coupling, and Chaotic Mixing: Three Simple Synergistic Mechanisms to Make New Families of Chaotic Pseudo Random Number Generators

René Lozi

6th EUROMECH Nonlinear Dynamics Conference (ENOC 2008), International Physics and Control Society (IPACS), Jun 2008, Saint Petersburg, Russia

Communication dans un congrès hal-00258017v3

Dynamical Systems. Paths of twelve mathematicians and physicists to chaos and its applications

René Lozi , Safwan El Assad , Mohammed-Salah Abdelouahab

CRC Press; CRC Press, 1, 2025, 978-1-032-94029-8. ⟨10.1201/9781003568605⟩

Ouvrages hal-05222503v1

Recent improvements in the theory of chaotic attractors

René Lozi , Lyudmila Efremova , Michal Pluhacek

CRC Press, 2025, 978-1-032-94001-4. ⟨10.1201/9781003568513⟩

Ouvrages hal-05011458v1

Lozi, Hénon and Belykh chaotic attractors, new results fifty years on

René Lozi , Lyudmila Efremova , Mohammed-Salah Abdelouahab , Safwan El Assad Ouvrages hal-04876227v1

Difference Equations, Discrete Dynamical Systems and Applications

Sorin Olaru , Jim Cushing , Saber Elaydi , René Lozi

Springer International Publishing, 444, 2024, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-031-51049-6⟩

Ouvrages hal-04512331v1
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Cryptography and Its Applications in Information Security

Safwan El Assad , René Lozi , William Puech

, 12, pp.1-3, 2022

Ouvrages hal-03650018v1

Mathematical Modelling, Optimization, Analytic and Numerical Solutions

Pammy Manchanda , René Lozi , Abul Hasan Siddiqi Ouvrages hal-02494480v1

Industrial Mathematics and Complex Systems Emerging Mathematical Models, Methods and Algorithms

Pammy Manchanda , René Lozi

2017

Ouvrages hal-01758519v1
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Computer Intelligence in Modeling, Prediction, and Analysis of Complex Dynamical Systems

Ivan Zelinka , Ajith Abraham , Otto Rössler , Mohammed Chadli , René Lozi

Ivan Zelinka, Ajith Abraham, Otto Rossler, Mohammed Chadli, and Rene Lozi. Hindawi Publishing Corporation, 62 p., 2015, The Scientific World Journal, ⟨10.1155/2015/948512⟩

Ouvrages hal-01338674v1

How chaos shaped my academic life

René Lozi

Christophe Letellier. Recollections from the Early Days of Chaos Theory, World Scientific, pp.273-332, 2026, 978-981-98-2312-3. ⟨10.1142/14581⟩

Chapitre d'ouvrage hal-05523860v1

Will We Continue to Use Chaotic Attractors in Science for a Long Time, or Will They only Be a Passing Curiosity?

René Lozi

New Developments in Discrete Dynamical Systems, Difference Equations, and Applications. ICDEA 2023, Springer Proceedings in Mathematics & Statistics, 485, Springer Nature Switzerland, pp.203-232, 2025, Springer Proceedings in Mathematics & Statistics, 978-3-031-82002-1. ⟨10.1007/978-3-031-82003-8_10⟩

Chapitre d'ouvrage hal-05011216v1

Two more mathematicians and one physicist tell what motivated their careers and how they began

René Lozi , Bo Zheng , Miguel A.F. Sanjuán , Guanrong Chen

René Lozi, Safwan El Assad, Mohammed-Salah Abdelouahab. Dynamical Systems Paths of Twelve Mathematicians and Physicists to Chaos and Its Applications, CRC Press, pp.96-143, 2025, 978-1-032-940296-8

Chapitre d'ouvrage hal-05247166v1

Mem-Fractive Properties of Fungi

Alexander Beasley , Mohammed-Salah Abdelouahab , René Lozi , Michail-Antisthenis Tsompanas , Andrew Adamatzky

Andrew Adamatzky. Fungal Machines- Sensing and Computing with Fungi, 47, Springer; Springer Nature Switzerland, pp.43-76, 2023, Emergence, Complexity and Computation, 978-3-031-38335-9. ⟨10.1007/978-3-031-38336-6⟩

Chapitre d'ouvrage hal-04694165v1
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Topological analysis of a weighted human behaviour model coupled on a streets and places network in the context of urban terrorist attack

Damienne Provitolo , René Lozi , Emmanuel Tric

Pammy Manchanda; René Pierre Lozi; Abul Hasan Siddiqi. Mathematical Modelling, -Optimization, Analytic and Numerical Solutions, Springer, pp.117-146, 2020, Industrial and Applied Mathematics, 978-981-15-0927-8. ⟨10.1007/978-981-15-0928-5_5⟩

Chapitre d'ouvrage halshs-02487423v1
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A Model to Assess the Role of Spatial Urban Configurations on Crowd Evacuation Dynamics During Terrorist Attacks

Damienne Provitolo , René Lozi , Emmanuel Tric

A. H. Siddiqi; R. C. Singh; G. D. Veerappa Gowda. Computational Science and Its Applications, Taylor & Francis Group, pp.41-59, 2020, 9780429288739. ⟨10.1201/9780429288739⟩

Chapitre d'ouvrage halshs-03084153v1
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PROPOSTAS PARA O ENSINO DE CIÊNCIAS NATURAIS POR INVESTIGAÇÃO A PARTIR DE OBSERVAÇÕES EM UM LICEU FRANCÊS

Helaíne Haddad Simoes Machado , René Lozi , Nicole Biagioli

Políticas Públicas na Educação Brasilei: Ensino Aprendizagem e Metodologias, P 769, Atena Editora: Ponta grossa (PR), Brazil, pp.132-148, 2018

Chapitre d'ouvrage hal-02105671v1
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The Challenging Problem of Industrial Applications of Multicore-Generated Iterates of Nonlinear Mappings

Jean-Pierre Lozi , Oleg Garasym , René Lozi

P. Manchanda, R. Lozi, A.H. Siddiqi. Industrial mathematics and complex systems, Emerging Mathematical models, Methods and Algorithms, Springer, pp.43-76, 2017, ⟨10.1007/978-981-10-3758-0_4⟩

Chapitre d'ouvrage hal-01767057v1
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New nonlinear CPRNG based on tent and logistic maps

Oleg Garasym , Ina Taralova , René Lozi

Jinhu Lü, Xinghuo Yu, Guanrong Chen, Wenwu Yu. Complex Systems and Networks — Dynamics, Controls and Applications, Springer, pp.107-130, 2015, Springer: Complexity, 978-3-662-47823-3. ⟨10.1007/978-3-662-47824-0⟩

Chapitre d'ouvrage hal-01170134v1
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Cryptography-Based Chaos via Geometric Undersampling of Ring-Coupled Attractors

René Lozi

A. H. Siddiqi, P. Manchanda, R. Bhardwaj. Mathematical Models, Methods and Applications, Springer, pp.1-30, 2015, 978-981-287-971-4

Chapitre d'ouvrage hal-01333364v1
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Chaotic mathematical circuitry

René Lozi

Andrew Adamatzky, Guanrong Chen. Chaos CNN, Memristors and Beyond, A festschrift for Leon Chua, World scientific, pp.307-323, 2013, 978-981-4434-79-9. ⟨10.1142/9789814434805_0024⟩

Chapitre d'ouvrage hal-00682309v2
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Complexity leads to randomness in chaotic systems

René Lozi

A.H. Siddiqi, R.C. Singh, P. Manchanda. Mathematics in Science and Technology: Mathematical Methods, Models and Algorithms in Science and Technology. Proceedings of the Satellite Conference of ICM, 15-17 August 2010 Delhi, India, World Scientific, pp.93-125, 2011

Chapitre d'ouvrage hal-00627604v1
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Le marquage temporel des débats interdidactiques : la non-congruence comme marqueur d'interdiscursivité

Nicole Biagioli , Jean-Philippe Drouhard , René Lozi , Laurence Lopez , Christophe Raoux

Dominique Lahanier-Reuter, Eric Roditi. Questions de temporalité, Les méthodes de recherche en didactiques (2). Actes du deuxième séminaire international sur les méthodes de recherche en didactiques de novembre 2006, Villeneuve d'Asq., Presses Universitaires du Septentrion, pp.109-124, 2007, Education et didactiques

Chapitre d'ouvrage hal-00155215v1
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Max Charvolen : la dualité mathématique du travail des bords

René Lozi

Jacqueline Chénieux-Gendron. Spatialisation en art et sciences humaines, Peeters, pp.225-253, 2004, Collection critique Pleine Marge

Chapitre d'ouvrage hal-00278257v1
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Bifurcation and non linear eigenvalue problems: a tentative bibliography

René Lozi

[Research Report] RT-0018, INRIA. 1982, pp.120

Rapport (rapport de recherche) inria-00070138v1