A Study on Mechanical System Representation of Competition and Cooperation

A coupled inverted pendula model of competition and cooperation is proposed to obtain a purely mechanical implementation of dynamics comparable with the lotka-Volterra competition dynamics. It is shown numerically that the proposed model can describe the desired dynamics, that the equilibrium points...

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Published inNihon Kikai Gakkai ronbunshū. C Vol. 74; no. 741; pp. 1311 - 1316
Main Authors YOSHIDA, Katsutoshi, YOKOTA, Kazutaka, WATANABE, Shinichi
Format Journal Article
LanguageEnglish
Japanese
Published The Japan Society of Mechanical Engineers 2008
Subjects
Inverted Pendulum
Multi-Agent System
Multibody Dynamics
Nonlinear Dynamics
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Summary:A coupled inverted pendula model of competition and cooperation is proposed to obtain a purely mechanical implementation of dynamics comparable with the lotka-Volterra competition dynamics. It is shown numerically that the proposed model can describe the desired dynamics, that the equilibrium points can be compared to ecological coexistence, dominance, and scramble, and that there are initial conditions neighboring all the equilibrium points. It is also shown that the proposed model can produce competitive dynamics comparable to martial arts tricks.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0387-5024
1884-8354
DOI:10.1299/kikaic.74.1311