Invariant manifolds and cluster synchronization in a family of locally coupled map lattices

DOI10.1155/S1026022600000236zbMath0985.37092MaRDI QIDQ5929124

Vladimir N. Belykh, Nikolai Komrakov, Erik Mosekilde, Igor V. Belykh

Publication date: 17 April 2001

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121803

zbMATH Keywords

stabilityinvariant manifoldsself-similarityembeddingschaotic synchronizationcoupled chaotic mapslocally coupled map latticesorderingsvariational equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifold theory for dynamical systems (37D10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (5)

Role of asymmetric clusters in desynchronization of coherent motion ⋮ Partial synchronization: from symmetry towards stability ⋮ Synchronization between interacting ensembles of globally coupled chaotic maps ⋮ Synchronous manifold and hyperbolicity in a system of coupled identical multidimensional mappings ⋮ Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators

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