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Colloquium - Sugawara

Collective Motion of Self-Propelled Elements with Simple Dynamics
Ken Sugawara
Tohoku Gakuin University, Japan
9/22/2011
3:30pm-4:30pm

Many animals form groups and behave collectively, and we know it shows extreme diversity of dynamics and patterns. For example, migrant fish, like the sardine, or large birds such as cranes tend to make groups by aligning their headings and keeping a fixed mutual distance. Small birds such as sparrows fly in wandering, disordered aggregates. Insects, such as the mosquito, fly at random within spatially limited swarms.

How can we incorporate such diverse collective animal behavior in a common framework? In this colloquium, I will talk about a mathematical model of interactive motile elements inspired by the group behavior of animals. Considering physical properties of self-propelled element with mutual interactions, we propose simple kinetic equations based on Newton equation with accelerative, resistive, interactive force, and a relaxation equation to relax the difference between the heading angle and the velocity direction angle. In this system, we obtained several types of collective behavior, such as regular cluster motions, chaotic wandering and swarming of cluster without introducing random fluctuations.

I will also show a control parameter of this system. It is obtained by the introduction of dimensionless equations and analysis of the phase diagram. Using this parameter, I will mention the relation between the characteristic of the proposed model and actual animal behaviors.

Ken Sugawara is an Associate Professor at Tohoku Gakuin University. He received BS, MS and PhD degree in Information Science from Tohoku University, Japan in 1992, 1994 and 1997, respectively. His research interest includes the modeling of collective animal behavior and its application for collective robot systems.

Hosted by Nikolaus Correll.

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University of Colorado Boulder
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