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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
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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
Article dans une revue
hal-04605624
v1
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The paths of nine mathematicians to the realm of dynamical systems
René Lozi
,
Vladimir Belykh
,
Jim Michael Cushing
,
Lyudmila Efremova
,
Saber Elaydi
et al.
Article dans une revue
hal-04688197
v1
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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
Article dans une revue
hal-04696179
v1
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Global dynamics of discrete mathematical models of tuberculosis
Saber Elaydi
,
René Lozi
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
Article dans une revue
hal-04878059
v1
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Book Review: Chaos theory, complexity theory, catastrophe theory, and the enigmatic concept of chaoplexity, by Saber Elaydi
René Lozi
Article dans une revue
hal-04558337
v1
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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
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Right Hadamard fractional differences and summation by parts
Jia-Li Wei
,
Guo-Cheng Wu
,
René Lozi
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
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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
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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
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
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
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
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
Article dans une revue
hal-04572519
v1
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Survey of Recent Applications of the Chaotic Lozi Map
René Lozi
Article dans une revue
hal-04533393
v1
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Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions
Habiba Meskine
,
Mohammed Salah Abdelouahab
,
René Lozi
Article dans une revue
hal-04561243
v1
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Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system
Nadjet Boudjerida
,
Mohammed Salah Abdelouahab
,
René Lozi
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.
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
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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
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
Article dans une revue
hal-03513190
v1
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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
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
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
Article dans une revue
hal-02878585
v1
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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
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
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
Article dans une revue
hal-02883191
v1
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On the Origins of Currencies
René Lozi
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
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
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
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
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
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
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
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
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
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
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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
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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
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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
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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
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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
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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
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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
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Confinor and anti-confinor in constrained "Lorenz" system
Shigehiro Ushiki
,
René Lozi
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
Article dans une revue
jpa-00217473
v1
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UN ATTRACTEUR ÉTRANGE (?) DU TYPE ATTRACTEUR DE HÉNON
René Lozi
Article dans une revue
jpa-00217470
v1
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A computing method for bifurcation boughs of nonlinear eigenvalue problems
René Lozi
Article dans une revue
hal-04691504
v1
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