Published March 1, 2006
| public
Journal Article
Open
Synchronization by reactive coupling and nonlinear frequency pulling
Abstract
We present a detailed analysis of a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling. We study the model for the mean field case of all-to-all coupling, deriving results for the initial onset of synchronization as the coupling or nonlinearity increase, and conditions for the existence of the completely synchronized state when all the oscillators evolve with the same frequency. Explicit results are derived for the Lorentzian, triangular, and top-hat distributions of oscillator frequencies. Numerical simulations are used to construct complete phase diagrams for these distributions.
Additional Information
©2006 The American Physical Society (Received 3 October 2005; published 6 March 2006) This paper is based upon work supported by the National Science Foundation under Grant No. DMR-0314069, HRL Laboratories, LLC under Contract No. SR04209, the U.S.-Israel Binational Science Foundation Grant No. 2004339, and the PHYSBIO program with funds from the European Union and NATO.Files
CROpre06.pdf
Files
(593.5 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:e3db56eb5ebf4dea19c1bf4cea9d390f
|
593.5 kB | Preview Download |
Additional details
- Eprint ID
- 2670
- Resolver ID
- CaltechAUTHORS:CROpre06
- Created
-
2006-04-15Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field