René Lozi

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Publications

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-04972655 v1

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-04605624 v1

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-04688197 v1

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-04696179 v1
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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-04548634 v1
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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-04878059 v1

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-04558337 v1

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-04708202 v1

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-04685937 v1
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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-04572746 v1

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-04571575 v1

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-04698063 v1
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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-04542935 v1
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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-04549426 v1
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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-04527691 v1
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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-04572644 v1
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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-04572519 v1
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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-04533393 v1

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-04561243 v1

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-04561520 v1
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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-02540744 v1
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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-04076521 v1

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-03807466 v1
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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-03799417 v2
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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-04709291 v1
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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-03230576 v1
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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-03513190 v1

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-03498071 v1
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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-03106699 v1
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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-02541322 v1
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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-02878585 v1

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-02021102 v1
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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-03041670 v1
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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-03032392 v1
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Integration Duration-Based Method for Unveiling Hidden Patterns of Even Number of Spirals of Chua Chaotic Attractor

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-03044722 v1
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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-02883191 v1

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-04697541 v1
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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-01742568 v1
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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-01534443 v1
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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-01281815 v2
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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-01488550 v1
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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-01319597 v1
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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-01323625 v1
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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-00691006 v2
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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-01170136 v2
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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-01324465 v1
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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-01326725 v1
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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-00813087 v1
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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-01322396 v1
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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-00809583 v2
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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-00682818 v1
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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-00816336 v2
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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-01338520 v1
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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-01326704 v1
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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-01333653 v1
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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-01057276 v2
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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-00423012 v1
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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-00361853 v3
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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-00369247 v1
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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-00412627 v2

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-00258028 v1

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-04690706 v1

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-04697885 v1

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-04691059 v1

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-04690586 v1

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-04691094 v1

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-04691058 v1

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-04691096 v1
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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-00217473 v1
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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-00217470 v1

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-04691504 v1

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-04684953 v1

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-03829315 v1

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-03320202 v1

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-02487475 v1

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-02487490 v1

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-02487494 v1

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-01250257 v1
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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-01170124 v1

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-01318805 v1
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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-01336429 v1
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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-01337180 v1
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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-01027571 v1
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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.)
Communication dans un congrès hal-00752953 v1

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-00872265 v1
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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-00752978 v1
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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-00753088 v1
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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-01338203 v1

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-00743959 v1
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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-00607824 v1
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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-00622989 v1
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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-00623064 v1
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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-00617051 v1
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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-00368844 v1
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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-00386292 v1
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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-00368576 v1
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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-00258017 v3

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-05011458 v1

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

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

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-04512331 v1
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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-03650018 v1

Mathematical Modelling, Optimization, Analytic and Numerical Solutions

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

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

Pammy Manchanda , René Lozi
2017
Ouvrages hal-01758519 v1
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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-01338674 v1

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-05011216 v1

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-04694165 v1
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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-02487423 v1
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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-03084153 v1
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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-02105671 v1
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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-01767057 v1
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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-01333364 v1
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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-01170134 v1
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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-00682309 v2
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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-00627604 v1
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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-00155215 v1
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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-00278257 v1
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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-00070138 v1