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Manuscript deadline
29 October 2021

Cover image - Journal of Difference Equations and Applications

Journal of Difference Equations and Applications

Special Issue Editor(s)

René LOZI, Université Côte d'Azur, Nice, France
[email protected]

Lyudmila EFREMOVA, Lobachevsky State University of Nizhni Novgorod, Russia
[email protected]

Mohammed-Salah ABDELAOUHAD, Mila University, Algeria
[email protected]

Safwan EL ASSAD, Université de Nantes (Polytech Nantes), France
[email protected]

Michal PLUHACEK, Tomas Bata University in Zlín, Czechia
[email protected]

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The decade 1970-80 was the "golden decade" of chaotic attractors. Since the seminal paper of Ruelle et Takens (1971) who introduced the concept of strange attractor, unearthing the previous example of Lorenz (1963), and the paper of Li and Yorke (1975) that coined the name “chaos”, many models with such a complicated behavior were published. For difference equations one can recall Hénon (1976), Belykh (1976), Lozi (1978), Zaslavky (1978), Duffing-Holmes (1979), Ikeda (1979), etc., and for ordinary differential equations: Lorenz, Rössler, Chua, etc.

Near half a century after, the study of these discrete models is still thriving, although they seem very simple at the first look of their formula. Not only their inner structure and topological properties still reveal surprises (symbolic dynamics, fractal dimension, Lyapunov exponent, singularity spectrum, coexisting trajectories, etc.), but they induce new mathematical ideas like robust chaos, chimeras, pseudo hyperbolicity, hidden attractors, effective intervals and multifractality measures for the characterizations of strange attractors, etc.

Their definition has been extended in many ways (Hénon-like, Lozi-like, fractional-order discrete time systems, coupled and hybrid maps, etc.).

Chaos is far to be only a theoretical concept, many applications have been developed since the 90’ in many fields: Pseudo Random Number Generator, cryptography and optimization-based chaos, chaos-based graph traversal algorithm, nonlinear discrete-time observers, evolutionary computation techniques, etc.

The goal of the special issue is to collect original research papers as well as expository and survey papers, addressing such themes, from the theoretical point of view or from the applied one, in the scope of discrete chaotic systems (dissipative as well as conservative), in particular (but not only).

  • New developments of theoretic studies of Lozi and Hénon map (or Hénon-like, Lozi-like), and other chaotic attractors
  • Studies of chimeras, coupled, hybrid and networks of mappings
  • Chaos, hyperchaos, robust chaos, hidden attractors of mappings, pseudo hyperbolicity
  • Properties of fractional Lozi and Hénon map
  • Applications to chaos-based optimization or cryptography, Pseudo Random Number Generator
  • Chaos-based graph traversal algorithm, nonlinear discrete-time observers
  • Evolutionary computation techniques

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Submission Instructions

  • The SI opens the submission of the papers on April 5, 2021 and closes it on October 29, 2021
  • When submitting a paper just pay attention to select the special issue option at Step 6
  • The papers will be refereed and go through the Journal’s usual review process
  • Expected publication of the SI is Spring 2022

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