Collective behaviorInomata, YoshinariTakami, ToshiyaCollective behavior of social organisms emerges by simple interactions between individuals, and the behavior is often found to be chaotic. Automatic classification of such chaotic motion is, in general, difficult because of a large number of degrees of freedom and the stochastic motion of individuals. First, principal component analysisPrincipal component analysis is applied to the instantaneous variables of motion in order to obtain a low dimensional representation of dynamic states and to try to achieve automatic classification. Second, the complex motion of boidsBoids is analyzed by dynamic mode decompositionDynamic mode decomposition, by which a time-series of dynamical variables is approximated as a linear time-stepping operator. It is shown that the reconstruction error by the linearized operator relates to the transition of complex behavior. Finally, a simple method based on the error analysis is proposed to detect itinerant motion (of the collective behaviorCollective behavior).
Analysis of the Collective Behavior of Boids
Springer Proceedings Phys.
17.11.2020
7 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Principal component analysis , Dynamic mode decomposition , Collective behavior , Boids Physics and Astronomy , Soft and Granular Matter, Complex Fluids and Microfluidics , Statistical Physics and Dynamical Systems , Complex Systems , Computer Appl. in Social and Behavioral Sciences , Physics , Transportation Technology and Traffic Engineering
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