Journal of Difference Equations and Applications, Volume 29, Issue 9-12 (2023)

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Journal of Difference Equations and Applications, Volume 29, Issue 9-12 (2023)

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Special Issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’. Guest editors: René Lozi, Lyudmila Efremova, Mohammed-Salah Abdelouahab, Safwan El Assad and Michal Pluhacek

Introduction

Introduction
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
Pages: 861-875
Published online: 16 Nov 2023
AbstractforForeword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’ | Full Text | References | PDF (1.1 MB) | EPUB
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Free Access

Articles

Article
Controlling chaotic transients in the Hénon and the Lozi map with the safety function
Rubén Capeáns & Miguel A. F. Sanjuán
Pages: 876-884
Published online: 22 Apr 2022
AbstractforControlling chaotic transients in the Hénon and the Lozi map with the safety function | Full Text | References | PDF (2.1 MB) | EPUB
  • 104 Views
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Article
On target-oriented control of Hénon and Lozi maps
E. Braverman & A. Rodkina
Pages: 885-908
Published online: 18 Jun 2022
AbstractforOn target-oriented control of Hénon and Lozi maps | Full Text | References | PDF (3.5 MB) | EPUB
  • 60 Views
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Article
Controlling chimera and solitary states by additive noise in networks of chaotic maps
Elena Rybalova, Eckehard Schöll & Galina Strelkova
Pages: 909-930
Published online: 12 Sep 2022
AbstractforControlling chimera and solitary states by additive noise in networks of chaotic maps | Full Text | References | PDF (4.9 MB) | EPUB
  • 142 Views
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Article
Statistical self-similarity in Lozi and Hénon's strange attractors
Alexandre M. de Paula Viveiros
Pages: 931-951
Published online: 18 May 2023
AbstractforStatistical self-similarity in Lozi and Hénon's strange attractors | Full Text | References | PDF (2.9 MB) | EPUB
  • 35 Views
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Article
Markov partition in the attractor of Lozi maps
Diogo Baptista
Pages: 952-964
Published online: 13 Mar 2023
AbstractforMarkov partition in the attractor of Lozi maps | Full Text | References | PDF (1.5 MB) | EPUB
  • 354 Views
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Open Access
Article
Lozi map embedded into the 2D border collision normal form
I. Sushko, V. Avrutin & L. Gardini
Pages: 965-981
Published online: 26 Apr 2023
AbstractforLozi map embedded into the 2D border collision normal form | Full Text | References | PDF (5.1 MB) | EPUB
  • 61 Views
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Article
A higher-dimensional generalization of the Lozi map: bifurcations and dynamics
Shakir Bilal & Ramakrishna Ramaswamy
Pages: 982-993
Published online: 23 Feb 2022
AbstractforA higher-dimensional generalization of the Lozi map: bifurcations and dynamics | Full Text | References | PDF (2 MB) | EPUB
  • 170 Views
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Article
Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps
Vladimir N. Belykh, Nikita V. Barabash & Dina A. Grechko
Pages: 994-1014
Published online: 27 Mar 2023
AbstractforExistence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps | Full Text | References | PDF (2.5 MB) | EPUB
  • 90 Views
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Article
On the relationship between Lozi maps and max-type difference equations
A. Linero Bas & D. Nieves Roldán
Pages: 1015-1044
Published online: 13 Sep 2022
AbstractforOn the relationship between Lozi maps and max-type difference equations | Full Text | References | PDF (3 MB) | EPUB
  • 61 Views
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Article
K-symbol fractional order discrete-time models of Lozi system
Rabha W. Ibrahim
Pages: 1045-1064
Published online: 21 Dec 2022
AbstractforK-symbol fractional order discrete-time models of Lozi system | Full Text | References | PDF (3 MB) | EPUB
  • 51 Views
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Article
Border collision bifurcations in a piecewise linear duopoly model
Laura Gardini & Davide Radi
Pages: 1065-1093
Published online: 20 Apr 2023
AbstractforBorder collision bifurcations in a piecewise linear duopoly model | Full Text | References | PDF (3.5 MB) | EPUB
  • 83 Views
  • 1 CrossRef citations
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Article
Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps
D. J. W. Simpson
Pages: 1094-1126
Published online: 02 May 2022
AbstractforDetecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps | Full Text | References | PDF (3.4 MB) | EPUB
  • 88 Views
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Article
On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps
Asma Ladjeroud & Elhadj Zeraoulia
Pages: 1127-1139
Published online: 24 Nov 2022
AbstractforOn the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps | Full Text | References | PDF (1.1 MB) | EPUB
  • 61 Views
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Article
Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis
Guo-Cheng Wu, Jia-Li Wei & Maokang Luo
Pages: 1140-1155
Published online: 20 Apr 2023
AbstractforRight fractional calculus to inverse-time chaotic maps and asymptotic stability analysis | Full Text | References | PDF (2 MB) | EPUB
  • 112 Views
  • 3 CrossRef citations
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Article
Search for invariant sets of the generalized tent map
Kimberly Ayers, Dmitriy Dmitrishin, Ami Radunskaya, Alexander Stokolos & Kostyantyn Stokolos
Pages: 1156-1183
Published online: 27 Sep 2022
AbstractforSearch for invariant sets of the generalized tent map | Full Text | References | PDF (2.5 MB) | EPUB
  • 82 Views
  • 1 CrossRef citations
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Article
On Shilnikov attractors of three-dimensional flows and maps
Yu. V. Bakhanova, S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov & E. A. Samylina
Pages: 1184-1201
Published online: 29 Apr 2022
AbstractforOn Shilnikov attractors of three-dimensional flows and maps | Full Text | References | PDF (2.9 MB) | EPUB
  • 84 Views
  • 2 CrossRef citations
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Article
Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives
Ivan Zelinka & Roman Senkerik
Pages: 1202-1227
Published online: 28 Jun 2023
AbstractforChaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives | Full Text | References | PDF (5.8 MB) | EPUB
  • 146 Views
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Article
Chaos in popular metaheuristic optimizers – a bibliographic analysis
Michal Pluhacek, Anezka Kazikova, Adam Viktorin, Tomas Kadavy & Roman Senkerik
Pages: 1228-1243
Published online: 22 Apr 2023
AbstractforChaos in popular metaheuristic optimizers – a bibliographic analysis | Full Text | References | PDF (2.2 MB) | EPUB
  • 93 Views
  • 3 CrossRef citations
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Article
Ramified continua as global attractors of C1-smooth self-maps of a cylinder close to skew products
L. S. Efremova
Pages: 1244-1274
Published online: 26 Apr 2023
AbstractforRamified continua as global attractors of C1-smooth self-maps of a cylinder close to skew products | Full Text | References | PDF (2.3 MB) | EPUB
  • 67 Views
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Article
Dynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers
Marina Barinova, Vyacheslav Grines & Olga Pochinka
Pages: 1275-1286
Published online: 01 Jul 2022
AbstractforDynamics of three-dimensional A-diffeomorphisms with two-dimensional attractors and repellers | Full Text | References | PDF (1.3 MB) | EPUB
  • 61 Views
  • 1 CrossRef citations
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Article
Chaotic behaviour of countable products of homeomorphism groups
N. I. Zhukova & A. G. Korotkov
Pages: 1287-1312
Published online: 01 Jul 2022
AbstractforChaotic behaviour of countable products of homeomorphism groups | Full Text | References | PDF (2.6 MB) | EPUB
  • 213 Views
  • 2 CrossRef citations
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Article
Remarks on minimal sets on dendrites and finite graphs
E. N. Makhrova
Pages: 1313-1322
Published online: 05 Jun 2023
AbstractforRemarks on minimal sets on dendrites and finite graphs | Full Text | References | PDF (801.5 KB) | EPUB
  • 42 Views
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Article
Recurrence and nonwandering sets of local dendrite maps
Hafedh Abdelli, Habib Marzougui & Amira Mchaalia
Pages: 1323-1340
Published online: 19 Feb 2022
AbstractforRecurrence and nonwandering sets of local dendrite maps | Full Text | References | PDF (1.3 MB) | EPUB
  • 86 Views
  • 1 CrossRef citations
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Article
Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller
Christophe Letellier, Ludovico Minati & Jean-Pierre Barbot
Pages: 1341-1368
Published online: 28 Feb 2023
AbstractforOptimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller | Full Text | References | PDF (4.5 MB) | EPUB
  • 82 Views
  • 2 CrossRef citations
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Article
Nonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system
Nadjet Boudjerida, Mohammed Salah Abdelouahab & René Lozi
Pages: 1369-1390
Published online: 06 Feb 2023
AbstractforNonlinear dynamics and hyperchaos in a modified memristor-based Chua's circuit and its generalized discrete system | Full Text | References | PDF (6.5 MB) | EPUB
  • 162 Views
  • 2 CrossRef citations
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Article
Memristor-based Gauss chaotic maps with hidden/self-exited dynamics
Han Bao, Yang Gu, Jianjun Sun, Xi Zhang & Bocheng Bao
Pages: 1391-1407
Published online: 11 Nov 2022
AbstractforMemristor-based Gauss chaotic maps with hidden/self-exited dynamics | Full Text | References | PDF (3.2 MB) | EPUB
  • 207 Views
  • 2 CrossRef citations
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Article
Enhanced design and hardware implementation of a chaos-based block cipher for image protection
Mahdi Madani, Safwan El Assad, Fethi Dridi & René Lozi
Pages: 1408-1428
Published online: 30 Apr 2022
AbstractforEnhanced design and hardware implementation of a chaos-based block cipher for image protection | Full Text | References | PDF (4.2 MB) | EPUB
  • 104 Views
  • 1 CrossRef citations
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Article
On secure communication scheme-based mixed discrete-time hyperchaotic systems
Narjes Khalifa & Mohamed Benrejeb
Pages: 1429-1448
Published online: 14 Jun 2023
AbstractforOn secure communication scheme-based mixed discrete-time hyperchaotic systems | Full Text | References | PDF (2 MB) | EPUB
  • 48 Views
  • 1 CrossRef citations
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Article
On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator
Martin Rosalie & Serge Chaumette
Pages: 1449-1466
Published online: 28 Apr 2023
AbstractforOn the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator | Full Text | References | PDF (2.4 MB) | EPUB
  • 49 Views
  • 1 CrossRef citations
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Article
The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil
A. Othman Almatroud, Noureddine Djenina, Adel Ouannas & Giuseppe Grassi
Pages: 1467-1479
Published online: 17 May 2023
AbstractforThe SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil | Full Text | References | PDF (1.1 MB) | EPUB
  • 104 Views
  • 1 CrossRef citations
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Article
Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops
Sylvain Mangiarotti & Flavie Le Jean
Pages: 1480-1502
Published online: 30 Nov 2022
AbstractforChaotic attractors captured from remote sensing time series for the dynamics of cereal crops | Full Text | References | PDF (4.7 MB) | EPUB
  • 48 Views
  • 1 CrossRef citations
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Article
Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions
Habiba Meskine, Mohammed Salah Abdelouahab & René Lozi
Pages: 1503-1515
Published online: 26 Jun 2023
AbstractforNonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions | Full Text | References | PDF (3.1 MB) | EPUB
  • 93 Views
  • 2 CrossRef citations
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