title: Dimensionality of clusters in a swarm oscillator model.
abstract: We investigate what is called swarm oscillator model where interacting motile oscillators form various kinds of ordered structures. We particularly focus on the dimensionality of clusters which oscillators form. In two-dimensional space, oscillators spontaneously form one-dimensional clusters or two-dimensional clusters. By studying the three-oscillator system, we analytically find the conditions of the appearance of those patterns. The validity of those conditions in applying to systems of more oscillators is demonstrated by numerically investigating a system of twenty oscillators.
authors.affiliation: Department of Complex Systems Science, Graduate School of Information Science, Nagoya University, Nagoya 464-8601, Japan. miwasa@r.phys.nagoya-u.ac.jp
authors.forename: Masatomo
authors.initials: M
authors.lastname: Iwasa
authors.forename: Dan
authors.initials: D
authors.lastname: Tanaka