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

Abstract

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

27 pages, 12 figures; submitted to Physica D

References in corpus (3)

• Traffic and Related Self-Driven Many-Particle Systems
• Collective behavior of interacting self-propelled particles
• Spontaneous structure formation in a network of chaotic units with variable connection strengths

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