Coupled map gas: structure formation and dynamics of interacting motile elements with internal dynamics

Details Coupled map gas: structure formation and dynamics of interacting motile elements with internal dynamics Coupled map gas: structure formation and dynamics of interacting motile elements with internal dynamics

2002-04-12

arxiv.org/abs/nlin/0204024v2

Nonlinear Sciences

Adaptation and Self-Organizing Systems

27 pages, 12 figures; submitted to Physica D

Scientific paper

10.1016/S0167-2789(03)00101-5

A model of interacting motile chaotic elements is proposed. The chaotic elements are distributed in space and interact with each other through interactions depending on their positions and their internal states. As the value of a governing parameter is changed, the model exhibits successive phase changes with novel pattern dynamics, including spatial clustering, fusion and fission of clusters and intermittent diffusion of elements. We explain the manner in which the interplay between internal dynamics and interaction leads to this behavior by employing certain quantities characterizing diffusion, correlation, and the information cascade of synchronization. Keywords: collective motion, coupled map system, interacting motile elements

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