Synchronous manifold and hyperbolicity in a system of coupled identical multidimensional mappings

DOI10.1007/S10958-007-0228-9zbMath1183.37094OpenAlexW1994050965MaRDI QIDQ1040270

B. S. Ukrainskii, Vladimir N. Belykh, Nikolai Komrakov

Publication date: 24 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0228-9

zbMATH Keywords

attractorsdifference equationshyperbolic attractorinvariant varietyabsorbing regiondissipation regionnormal form of mappings

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamical aspects of attractors and their bifurcations (37G35)

Cites Work

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• CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS
• Symmetries and regular behavior of Hamiltonian systems
• Chaotic and strange attractors of a two-dimensional map
• Fundamentals of synchronization in chaotic systems, concepts, and applications
• Invariant manifolds and cluster synchronization in a family of locally coupled map lattices

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