9/22/2011
3:30pm-4:30pm
ECCR 265
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Collective Motion of Self-Propelled Elements with Simple Dynamics
Ken Sugawara
Tohoku Gakuin University, Japan
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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