Emergence of multi-time scales in coupled oscillators with plastic frequenciesM. Tachikawa and K. Fujimoto
ERATO Complex Systems Biology Project, JST - 3-8-1, Komaba, Meguro-ku, Tokyo 153-8902, Japan
received 1 October 2006; accepted in final form 7 March 2007; published April 2007
published online 2 April 2007
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.
05.65.+b - Self-organized systems.
05.45.Xt - Synchronization; coupled oscillators.
© Europhysics Letters Association 2007