One-dimensional map lattices: Synchronization, bifurcations, and chaotic structures

Vladimir N. Belykh, Erik Mosekilde

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Abstract

The paper presents a qualitative analysis of coupled map lattices (CMLs) for the case of arbitrary nonlinearity of the local map and with space-shift as well as diffusion coupling. The effect of synchronization where, independently of the initial conditions, all elements of a CML acquire uniform dynamics is investigated and stable chaotic time behaviors, steady structures, and traveling waves are described. Finally, the bifurcations occurring under the transition from spatiotemporal chaos to chaotic synchronization and the peculiarities of CMLs with specific symmetries are discussed.
Original languageEnglish
JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
Volume54
Issue number4
Pages (from-to)3196-3203
ISSN1063-651X
DOIs
Publication statusPublished - 1996

Bibliographical note

Copyright (1996) American Physical Society.

Keywords

  • SYSTEMS
  • NETWORK
  • TRAVELING WAVES
  • PATTERNS
  • ELEMENTS
  • STABILITY
  • SPATIOTEMPORAL INTERMITTENCY
  • PERIODIC-ORBITS

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