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Lozi, René

Co-Author Distance
Author ID: lozi.rene Recent zbMATH articles by "Lozi, René"
Published as: Lozi, René; Lozi, Rene; Lozi, R.
External Links: ORCID
Documents Indexed: 48 Publications since 1975, including 3 Additional arXiv Preprints
3 Contributions as Editor
Co-Authors: 57 Co-Authors with 37 Joint Publications
2,521 Co-Co-Authors
all top 5

Co-Authors

13 single-authored
7 Abdelouahab, Mohammed-Salah
6 Ushiki, Shigehiro
4 Chua, Leon Ong
3 Chen, Guanrong
3 Elaydi, Saber Nasr
2 Efremova, Lyudmila S.
2 El Assad, Safwan
2 Fiol, Clarisse
2 Garasym, Oleg
2 Lozi, Jean-Pierre
2 Pchelintsev, Alexander Nikolaevich
1 Abraham, Ralph Herman
1 Belykh, Vladimir Nikolaevich
1 Benzekri, Tounsia
1 Boughaba, Soraya
1 Carroll, Thomas L.
1 Chennaf, Bouchra
1 Cushing, Jim Michael
1 Dridi, Fethi
1 Gardini, Laura
1 Gheouali, Mohamed
1 Gilmore, Robert
1 Ginoux, Jean-Marc
1 Glass, Leon
1 Grebogi, Celso
1 Hamaizia, Tayeb
1 Hamri, Nasreddine
1 Holmes, Philip J.
1 Iooss, Gérard
1 Letellier, Christophe
1 Madani, Mahdi
1 Manchanda, Pammy
1 Menacer, Tidjani
1 Meskine, Habiba
1 Misiurewicz, Michał
1 Olaru, Sorin
1 Olsen, Lars Folke
1 Parlitz, Ulrich
1 Pecora, Louis M.
1 Pikovsky, Arkady S.
1 Pluhacek, Michal
1 Pogonin, Vasiliy A.
1 Provitolo, Damienne
1 Ramdani, Sofiane
1 Rossetto, Bruno
1 Rossler, Otto E.
1 Schöll, Eckehard
1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych
1 Shepelyansky, Dima L.
1 Siddiqi, Abul Hasan
1 Sousa Ramos, José
1 Strelkova, Galina Ivanova
1 Taralova, Ina
1 Tric, E.
1 Tsuda, Ichiro
1 Wei, Jia-Li
1 Wu, Guocheng
all top 5

Serials

12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Difference Equations and Applications
2 Grazer Mathematische Berichte
2 Chaos
1 Archive for History of Exact Sciences
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 RAIRO. Analyse Numérique
1 Japan Journal of Applied Mathematics
1 Annales des Télécommunications
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bulletin of the American Mathematical Society
1 Journal de Mécanique
1 Journal of Biological Dynamics
1 Springer Proceedings in Mathematics & Statistics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Applied Mathematics and Nonlinear Sciences
1 Industrial and Applied Mathematics
all top 5

Fields

35 Dynamical systems and ergodic theory (37-XX)
12 Ordinary differential equations (34-XX)
12 Numerical analysis (65-XX)
10 Information and communication theory, circuits (94-XX)
7 Difference and functional equations (39-XX)
7 Biology and other natural sciences (92-XX)
4 History and biography (01-XX)
4 Partial differential equations (35-XX)
3 General and overarching topics; collections (00-XX)
3 Fluid mechanics (76-XX)
2 Mechanics of particles and systems (70-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Real functions (26-XX)
1 Operator theory (47-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

35 Publications have been cited 176 times in 141 Documents Cited by ▼ Year ▼
Can we trust in numerical computations of chaotic solutions of dynamical systems? Zbl 1270.37007
Lozi, René
23
2013
Memfractance: a mathematical paradigm for circuit elements with memory. Zbl 1301.94173
Abdelouahab, Mohammed-Salah; Lozi, René; Chua, Leon
19
2014
Hidden bifurcations in the multispiral Chua attractor. Zbl 1357.34073
Menacer, Tidjani; Lozi, René; Chua, Leon O.
12
2016
Coexisting chaotic attractors in Chua’s circuit. Zbl 0874.58046
Lozi, René; Ushiki, Shigehiro
10
1991
Complex canard explosion in a fractional-order FitzHugh-Nagumo model. Zbl 1425.34061
Abdelouahab, Mohammed-Salah; Lozi, René; Chen, Guanrong
10
2019
The theory of confinors in Chua’s circuit: Accurate analysis of bifurcations and attractors. Zbl 0870.58065
Lozi, René; Ushiki, Shigehiro
9
1993
Résultats numériques de régularité du problème de Stokes et du laplacien iteré dans un polygone. Zbl 0385.65025
Lozi, Rene
9
1978
Fast chaotic optimization algorithm based on locally averaged strategy and multifold chaotic attractor. Zbl 1291.90325
Hamaizia, Tayeb; Lozi, René; Hamri, Nasr-eddine
7
2012
A new reliable numerical method for computing chaotic solutions of dynamical systems: the Chen attractor case. Zbl 1330.37069
Lozi, René; Pchelintsev, Alexander N.
7
2015
Confinors and bounded-time patterns in Chua’s circuit and the double scroll family. Zbl 0756.34057
Lozi, René; Ushiki, Shigehiro
6
1991
Emergence of randomness from chaos. Zbl 1270.65002
Lozi, R.
6
2012
Fitting trapping regions for Chua’s attractor—a novel method based on isochronic lines. Zbl 1090.37513
Boughaba, Soraya; Lozi, Rene
6
2000
Secure communications via chaotic synchronization. II: Noise reduction by cascading two identical receivers. Zbl 0890.94006
Lozi, René; Chua, Leon O.
5
1993
Switched dynamical systems – dynamics of a class of circuits with switch. Zbl 0924.58066
Kawakami, H.; Lozi, René
5
1992
Sur un modèle mathématique de suite de bifurcations de motifs dans la reaction de Belousov-Zhabotinsky. Zbl 0479.34017
Lozi, Rene
4
1982
Some elements for a history of the dynamical systems theory. Zbl 1462.37002
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L.
4
2021
A computing method for bifurcation boughs of non-linear eigenvalue problems. Zbl 0299.65048
Lozi, Rene
3
1975
A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities. Zbl 1372.34089
Lozi, René; Pogonin, Vasiliy A.; Pchelintsev, Alexander N.
3
2016
Dimensional bifurcations between thread and sheet strange attractors. Zbl 0516.58031
Lozi, Rene
3
1982
Blondel and self-sustained oscillations. (Blondel et les oscillations auto-entretenues.) Zbl 1262.01007
Ginoux, Jean-Marc; Lozi, René
3
2012
Bifurcation analysis of a model of tuberculosis epidemic with treatment of wider population suggesting a possible role in the seasonality of this disease. Zbl 07868499
Abdelouahab, M.-S.; Arama, A.; Lozi, R.
3
2021
Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Zbl 1387.00037
2
2017
How useful randomness for cryptography can emerge from multicore-implemented complex networks of chaotic maps. Zbl 1372.65007
Garasym, Oleg; Lozi, Jean-Pierre; Lozi, René
2
2017
Confinor and anti-confinor in constrained “Lorenz” system. Zbl 0654.58026
Ushiki, Shigehiro; Lozi, René
2
1987
Organized confinors and anti-confinors and their bifurcations in constrained “Lorenz system”. Zbl 0654.58027
Lozi, René; Ushiki, Shigehiro
2
1988
Mixed-mode oscillations based on complex canard explosion in a fractional-order Fitzhugh-Nagumo model. Zbl 1524.34116
Lozi, René; Abdelouahab, Mohammed-Salah; Chen, Guanrong
2
2020
Slow manifolds of some chaotic systems with applications to laser systems. Zbl 0978.37017
Ramdani, Sofiane; Rossetto, Bruno; Chua, Leon O.; Lozi, René
1
2000
Strange attractors: A class of mappings of \(\mathbb{R}^{2}\) which leaves some Cantor sets invariant. Zbl 0985.37505
Lozi, René
1
1979
One-dimensional dynamics generated by boundary value problems for the wave equation. Zbl 1057.37038
Lozi, René; Sousa Ramos, José; Sharkovsky, Alexander
1
2004
Complexity leads to randomness in chaotic systems. Zbl 1262.65006
Lozi, René
1
2011
The challenging problem of industrial applications of multicore-generated iterates of nonlinear mappings. Zbl 1396.37093
Lozi, Jean-Pierre; Garasym, Oleg; Lozi, René
1
2017
Confinor and anti-confinor in constrained “Lorenz” system. Zbl 0636.35012
Ushiki, Shigehiro; Lozi, René
1
1987
Engineering of mathematical chaotic circuits. Zbl 1273.94464
Lozi, René
1
2013
Enhanced design and hardware implementation of a chaos-based block cipher for image protection. Zbl 07775590
Madani, Mahdi; El Assad, Safwan; Dridi, Fethi; Lozi, René
1
2023
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions. Zbl 1528.39008
Meskine, Habiba; Abdelouahab, Mohammed Salah; Lozi, René
1
2023
Enhanced design and hardware implementation of a chaos-based block cipher for image protection. Zbl 07775590
Madani, Mahdi; El Assad, Safwan; Dridi, Fethi; Lozi, René
1
2023
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions. Zbl 1528.39008
Meskine, Habiba; Abdelouahab, Mohammed Salah; Lozi, René
1
2023
Some elements for a history of the dynamical systems theory. Zbl 1462.37002
Letellier, Christophe; Abraham, Ralph; Shepelyansky, Dima L.; Rössler, Otto E.; Holmes, Philip; Lozi, René; Glass, Leon; Pikovsky, Arkady; Olsen, Lars F.; Tsuda, Ichiro; Grebogi, Celso; Parlitz, Ulrich; Gilmore, Robert; Pecora, Louis M.; Carroll, Thomas L.
4
2021
Bifurcation analysis of a model of tuberculosis epidemic with treatment of wider population suggesting a possible role in the seasonality of this disease. Zbl 07868499
Abdelouahab, M.-S.; Arama, A.; Lozi, R.
3
2021
Mixed-mode oscillations based on complex canard explosion in a fractional-order Fitzhugh-Nagumo model. Zbl 1524.34116
Lozi, René; Abdelouahab, Mohammed-Salah; Chen, Guanrong
2
2020
Complex canard explosion in a fractional-order FitzHugh-Nagumo model. Zbl 1425.34061
Abdelouahab, Mohammed-Salah; Lozi, René; Chen, Guanrong
10
2019
Industrial mathematics and complex systems. Emerging mathematical models, methods and algorithms. Based on the presentations at the international conference, Greater Noida, India, January 29–31, 2016. Zbl 1387.00037
2
2017
How useful randomness for cryptography can emerge from multicore-implemented complex networks of chaotic maps. Zbl 1372.65007
Garasym, Oleg; Lozi, Jean-Pierre; Lozi, René
2
2017
The challenging problem of industrial applications of multicore-generated iterates of nonlinear mappings. Zbl 1396.37093
Lozi, Jean-Pierre; Garasym, Oleg; Lozi, René
1
2017
Hidden bifurcations in the multispiral Chua attractor. Zbl 1357.34073
Menacer, Tidjani; Lozi, René; Chua, Leon O.
12
2016
A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities. Zbl 1372.34089
Lozi, René; Pogonin, Vasiliy A.; Pchelintsev, Alexander N.
3
2016
A new reliable numerical method for computing chaotic solutions of dynamical systems: the Chen attractor case. Zbl 1330.37069
Lozi, René; Pchelintsev, Alexander N.
7
2015
Memfractance: a mathematical paradigm for circuit elements with memory. Zbl 1301.94173
Abdelouahab, Mohammed-Salah; Lozi, René; Chua, Leon
19
2014
Can we trust in numerical computations of chaotic solutions of dynamical systems? Zbl 1270.37007
Lozi, René
23
2013
Engineering of mathematical chaotic circuits. Zbl 1273.94464
Lozi, René
1
2013
Fast chaotic optimization algorithm based on locally averaged strategy and multifold chaotic attractor. Zbl 1291.90325
Hamaizia, Tayeb; Lozi, René; Hamri, Nasr-eddine
7
2012
Emergence of randomness from chaos. Zbl 1270.65002
Lozi, R.
6
2012
Blondel and self-sustained oscillations. (Blondel et les oscillations auto-entretenues.) Zbl 1262.01007
Ginoux, Jean-Marc; Lozi, René
3
2012
Complexity leads to randomness in chaotic systems. Zbl 1262.65006
Lozi, René
1
2011
One-dimensional dynamics generated by boundary value problems for the wave equation. Zbl 1057.37038
Lozi, René; Sousa Ramos, José; Sharkovsky, Alexander
1
2004
Fitting trapping regions for Chua’s attractor—a novel method based on isochronic lines. Zbl 1090.37513
Boughaba, Soraya; Lozi, Rene
6
2000
Slow manifolds of some chaotic systems with applications to laser systems. Zbl 0978.37017
Ramdani, Sofiane; Rossetto, Bruno; Chua, Leon O.; Lozi, René
1
2000
The theory of confinors in Chua’s circuit: Accurate analysis of bifurcations and attractors. Zbl 0870.58065
Lozi, René; Ushiki, Shigehiro
9
1993
Secure communications via chaotic synchronization. II: Noise reduction by cascading two identical receivers. Zbl 0890.94006
Lozi, René; Chua, Leon O.
5
1993
Switched dynamical systems – dynamics of a class of circuits with switch. Zbl 0924.58066
Kawakami, H.; Lozi, René
5
1992
Coexisting chaotic attractors in Chua’s circuit. Zbl 0874.58046
Lozi, René; Ushiki, Shigehiro
10
1991
Confinors and bounded-time patterns in Chua’s circuit and the double scroll family. Zbl 0756.34057
Lozi, René; Ushiki, Shigehiro
6
1991
Organized confinors and anti-confinors and their bifurcations in constrained “Lorenz system”. Zbl 0654.58027
Lozi, René; Ushiki, Shigehiro
2
1988
Confinor and anti-confinor in constrained “Lorenz” system. Zbl 0654.58026
Ushiki, Shigehiro; Lozi, René
2
1987
Confinor and anti-confinor in constrained “Lorenz” system. Zbl 0636.35012
Ushiki, Shigehiro; Lozi, René
1
1987
Sur un modèle mathématique de suite de bifurcations de motifs dans la reaction de Belousov-Zhabotinsky. Zbl 0479.34017
Lozi, Rene
4
1982
Dimensional bifurcations between thread and sheet strange attractors. Zbl 0516.58031
Lozi, Rene
3
1982
Strange attractors: A class of mappings of \(\mathbb{R}^{2}\) which leaves some Cantor sets invariant. Zbl 0985.37505
Lozi, René
1
1979
Résultats numériques de régularité du problème de Stokes et du laplacien iteré dans un polygone. Zbl 0385.65025
Lozi, Rene
9
1978
A computing method for bifurcation boughs of non-linear eigenvalue problems. Zbl 0299.65048
Lozi, Rene
3
1975
all cited Publications top 5 cited Publications
all top 5

Cited by 295 Authors

18 Lozi, René
9 Abdelouahab, Mohammed-Salah
8 Nepomuceno, Erivelton Geraldo
6 Kuznetsov, Nikolay Vladimirovich
5 Banerjee, Tanmoy
5 Leonov, Gennadiĭ Alekseevich
4 Fan, Yingjie
4 Huang, Xia
4 Martins, Samir Angelo Milani
4 Pchelintsev, Alexander Nikolaevich
4 Perc, Matjaž
4 Wang, Zhen
3 Álvarez, Gonzalo A.
3 Awrejcewicz, Jan
3 Biswas, Debabrata
3 Chen, Guanrong
3 Kurths, Jürgen
3 Letellier, Christophe
3 Li, Yuxia
3 Montoya, Fausto
3 Nicaise, Serge
3 Papkova, Irina V.
3 Pluhacek, Michal
3 Schöll, Eckehard
3 Ueta, Tetsushi
2 Aslimani, N.
2 Belykh, Vladimir Nikolaevich
2 Bououden, Rabah
2 Butusov, Denis N.
2 Chua, Leon Ong
2 Davendra, Donald
2 Efremova, Lyudmila S.
2 El Assad, Safwan
2 Elaydi, Saber Nasr
2 Ellaia, Rachid
2 Faiza, Zaamoune
2 Galias, Zbigniew
2 Gardini, Laura
2 Guedes, Priscila F. S.
2 Guo, Zhang
2 Kousaka, Takuji
2 Krysko, Anton V.
2 Li, Shujun
2 Mangiarotti, Sylvain
2 Mendes, Eduardo M. A. M.
2 Ngueuteu Mbouna, S. G.
2 Olsen, Lars Folke
2 Pastor, Gerardo
2 Peixoto, Márcia L. C.
2 Rajagopal, Karthikeyan
2 Rodrigues, Heitor M. Junior
2 Romera, Miguel
2 Rossler, Otto E.
2 Senkerik, Roman
2 Si, Gangquan
2 Strelkova, Galina Ivanova
2 Tidjani, Menacer
2 Yamapi, René
2 Yang, Qigui
2 Zelinka, Ivan
2 Zhang, Xu
2 Zhao, Manyu
1 Abraham, Ralph Herman
1 Adiyaman, Meltem Evrenosoglu
1 Akbar, Saeed
1 Alcover Garau, Pedro María
1 AlMomani, Abd AlRahman R.
1 Amaral, Gleison F. V.
1 An, Xinlei
1 Anagnostopoulos, Antonios N.
1 Ara, Asmat
1 Arias-García, Janier
1 Arroyo, David
1 Ascoli, Alon
1 Atan, Özkan
1 Avrutin, Viktor
1 Ayers, Kimberly
1 Bakhanova, Yu. V.
1 Banchuin, Rawid
1 Bao, Bocheng
1 Bao, Han
1 Barabash, Nikita V.
1 Barbosa, Alípio M.
1 Barbot, Jean-Pierre
1 Belykh, Igor V.
1 Benzekri, Tounsia
1 Bernardi, Christine
1 Bi, Qinsheng
1 Bie, Yiyuan
1 Biolek, Dalibor
1 Biolek, Zdeněk
1 Biolkova, Viera
1 Bollt, Erik M.
1 Boughaba, Soraya
1 Bourafa, S.
1 Bourke, Paul D.
1 Bouvry, Pascal
1 Brandon, Quentin
1 Brucoli, Michele
1 Cafagna, Donato
...and 195 more Authors
all top 5

Cited in 52 Serials

27 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16 Chaos, Solitons and Fractals
15 Chaos
7 Journal of Difference Equations and Applications
5 Nonlinear Dynamics
5 Communications in Nonlinear Science and Numerical Simulation
4 Applied Mathematics and Computation
3 Journal of the Franklin Institute
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Computational and Applied Mathematics
2 Circuits, Systems, and Signal Processing
2 Japan Journal of Applied Mathematics
2 Mathematical Problems in Engineering
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Discrete and Continuous Dynamical Systems. Series B
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Physics Letters. A
1 Physics Reports
1 Ukrainian Mathematical Journal
1 The Mathematical Intelligencer
1 Calcolo
1 Demonstratio Mathematica
1 International Journal of Circuit Theory and Applications
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Meccanica
1 Numerische Mathematik
1 RAIRO. Analyse Numérique
1 Physica D
1 Numerical Algorithms
1 New Zealand Journal of Mathematics
1 Journal of Nonlinear Science
1 Archives of Control Sciences
1 Honam Mathematical Journal
1 Differentsial’nye Uravneniya i Protsessy Upravleniya
1 Hacettepe Journal of Mathematics and Statistics
1 Analysis and Applications (Singapore)
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Mediterranean Journal of Mathematics
1 The Australian Journal of Mathematical Analysis and Applications
1 Journal of Biological Dynamics
1 Asian-European Journal of Mathematics
1 IET Control Theory & Applications
1 Analysis and Mathematical Physics
1 Journal of Applied Nonlinear Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Applied Mathematics and Nonlinear Sciences
all top 5

Cited in 27 Fields

71 Dynamical systems and ergodic theory (37-XX)
55 Ordinary differential equations (34-XX)
38 Numerical analysis (65-XX)
31 Information and communication theory, circuits (94-XX)
10 Real functions (26-XX)
10 Biology and other natural sciences (92-XX)
10 Systems theory; control (93-XX)
9 Difference and functional equations (39-XX)
8 Mechanics of deformable solids (74-XX)
7 Partial differential equations (35-XX)
5 History and biography (01-XX)
4 Computer science (68-XX)
4 Mechanics of particles and systems (70-XX)
4 Fluid mechanics (76-XX)
4 Operations research, mathematical programming (90-XX)
3 General and overarching topics; collections (00-XX)
2 Optics, electromagnetic theory (78-XX)
1 Combinatorics (05-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Probability theory and stochastic processes (60-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year