Globally coupled multiattractor maps: Mean field dynamics controlled by the number of elements

I. Jánosi, Jason A C Gallas

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We report an investigation of a system of N globally coupled maps able to support multiattractors. For these systems the mean field dynamics is controlled by the number of elements in the initial partition of each basin of attraction. This behavior is in strong contrast with coupled systems of maps with a single attractor, where the mean field dynamics is usually simple for weak couplings. In spite of the increased local complexity, the global dynamics can be reduced to a simple two-dimensional map up to the first bifurcation point of the coexisting attractors.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number1
Publication statusPublished - 1999

Fingerprint

Coupled Maps
Mean Field
Attractor
Global Dynamics
Basin of Attraction
Weak Coupling
Bifurcation Point
Coupled System
Partition
attraction
partitions

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

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abstract = "We report an investigation of a system of N globally coupled maps able to support multiattractors. For these systems the mean field dynamics is controlled by the number of elements in the initial partition of each basin of attraction. This behavior is in strong contrast with coupled systems of maps with a single attractor, where the mean field dynamics is usually simple for weak couplings. In spite of the increased local complexity, the global dynamics can be reduced to a simple two-dimensional map up to the first bifurcation point of the coexisting attractors.",
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