Pattern Formation and Functionality in Swarm Models

Details Pattern Formation and Functionality in Swarm Models Pattern Formation and Functionality in Swarm Models

1995-07-18

arxiv.org/abs/adap-org/9507003v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

13 pages, LaTeX, 4 postscript figures available by anonymous ftp from ftp://santafe.edu/pub/rauch/swarm . Submitted to Physics

Scientific paper

10.1016/0375-9601(95)00624-C

We explore a simplified class of models we call swarms, which are inspired by the collective behavior of social insects. We perform a mean-field stability analysis and perform numerical simulations of the model. Several interesting types of behavior emerge in the vicinity of a second-order phase transition in the model, including the formation of stable lines of traffic flow, and memory reconstitution and bootstrapping. In addition to providing an understanding of certain classes of biological behavior, these models bear a generic resemblance to a number of pattern formation processes in the physical sciences.

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