Chaotic and strange attractors of a two-dimensional map

DOI10.1070/SM1995V186N03ABEH000018zbMath0851.58033OpenAlexW2063014706MaRDI QIDQ4886720

Vladimir N. Belykh

Publication date: 2 December 1996

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1995v186n03abeh000018

zbMATH Keywords

chaosstrange attractorstorusbifurcationscylinderplanetwo-dimensional maps

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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SMALE HORSESHOE OF CELLULAR NEURAL NETWORKS ⋮ Elements of Contemporary Theory of Dynamical Chaos: A Tutorial. Part I. Pseudohyperbolic Attractors ⋮ Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps ⋮ Ramified continua as global attractors of C ¹ -smooth self-maps of a cylinder close to skew products ⋮ The paths of nine mathematicians to the realm of dynamical systems ⋮ Spatial disorder of cellular neural networks ⋮ Synchronous manifold and hyperbolicity in a system of coupled identical multidimensional mappings

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