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

Imre M. Jánosi, Jason A.C. Gallas

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We report an investigation of a system of [Formula Presented] 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
Pages (from-to)R28-R31
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number1
DOIs
Publication statusPublished - 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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