Issue |
EPL
Volume 92, Number 2, October 2010
|
|
---|---|---|
Article Number | 20005 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/92/20005 | |
Published online | 15 November 2010 |
Regular and irregular modulation of frequencies in limit cycle oscillator networks
ERATO Complex Systems Biology Project, JST - 3-8-1, Komaba, Meguro-ku, Tokyo 153-8902, Japan
Received:
29
December
2009
Accepted:
6
October
2010
Nonisochronicity (frequency change caused by amplitude deviation) is the essential trait that differentiates limit cycle oscillators from phase oscillators. We studied networks of nonisochronic limit cycle oscillators, and demonstrated that the frequencies assume distributed values in a sustainable manner. We observed two complex phenomena in the networks: stationary distributed frequencies at a regular interval (quantization of frequencies), and continuous irregular modulation of frequencies. In the analysis we reveal the mechanisms by which the frequencies are distributed, and show how the nonisochronicity produces these complex phenomena. We also illustrate that the topology of the networks determines the behavior of the system.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 64.60.aq – Networks / 89.75.Fb – Structures and organization in complex systems
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.