| Issue |
EPL
Volume 78, Number 2, April 2007
|
|
|---|---|---|
| Article Number | 20004 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/78/20004 | |
| Published online | 02 April 2007 | |
Emergence of multi-time scales in coupled oscillators with plastic frequencies
ERATO Complex Systems Biology Project, JST - 3-8-1, Komaba, Meguro-ku, Tokyo 153-8902, Japan
Corresponding author: mtach@complex.c.u-tokyo.ac.jp
Received:
1
October
2006
Accepted:
7
March
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.
PACS: 05.65.+b – Self-organized systems / 05.45.Xt – Synchronization; coupled oscillators
© Europhysics Letters Association, 2007
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