Coupled map networks

José Koiller, Lai Sang Young

Research output: Contribution to journalArticle

Abstract

This paper discusses coupled map networks of arbitrary sizes over arbitrary graphs; the local dynamics are taken to be diffeomorphisms or expanding maps of circles. A connection is made to hyperbolic theory: increasing coupling strengths leads to a cascade of bifurcations in which unstable subspaces in the coupled map systematically become stable. Concrete examples with different network architectures are discussed.

Original languageEnglish (US)
Pages (from-to)1121-1141
Number of pages21
JournalNonlinearity
Volume23
Issue number5
DOIs
StatePublished - 2010

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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