Issue
EPL
Volume 78, Number 2, April 2007
Article Number 20004
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/78/20004
Published online 02 April 2007
EPL, 78 (2007) 20004
DOI: 10.1209/0295-5075/78/20004

Emergence of multi-time scales in coupled oscillators with plastic frequencies

M. Tachikawa and K. Fujimoto

ERATO Complex Systems Biology Project, JST - 3-8-1, Komaba, Meguro-ku, Tokyo 153-8902, Japan

mtach@complex.c.u-tokyo.ac.jp

received 1 October 2006; accepted in final form 7 March 2007; published April 2007
published online 2 April 2007

Abstract
A coupled phase-oscillator model where each oscillator has an angular velocity that varies due to the interaction with other oscillators is studied. This model is proposed to give a novel example of a wide variety of time scales as complex systems. It is found that initial conditions close to a one-cluster state self-organize into multiple clusters with different angular velocities, i.e. diversification of the time scales emerges through the multi clustering process in phases. Analyses for the clusters solution, the stability of the solution and the mechanism determining the time scales are reported.

PACS
05.65.+b - Self-organized systems.
05.45.Xt - Synchronization; coupled oscillators.

© Europhysics Letters Association 2007