Coupled map networks

José Koiller; Lai Sang Young

doi:10.1088/0951-7715/23/5/006

Coupled map networks

José Koiller, Lai Sang Young

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1121-1141
Number of pages	21
Journal	Nonlinearity
Volume	23
Issue number	5
DOIs	https://doi.org/10.1088/0951-7715/23/5/006
State	Published - 2010

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/23/5/006

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title = "Coupled map networks",

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.",

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AB - 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.

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JO - Nonlinearity

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Coupled map networks

Abstract

ASJC Scopus subject areas

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