Strunin, Dmitry V. (2009) A new case of truncated phase equation for coupled oscillators. In: 5th Asian Mathematical Conference (AMC2009), 22-26 June 2009, Kuala-Lumpur.
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Abstract
[Abstract]: Generalized nonlinear phase diffusion equation describes oscillators weakly coupled by diffusion. The equation generally contains infinite number of terms and allows a variety of dynamic balances between them. We consider a truncated version of the equation in which nonlinear excitation drives the dynamics. A group of active systems leading to this truncation is modelled by reaction-diffusion equations with effective nonlocal coupling. We formulate the conditions on the parameters resulting in the truncation and discuss numerical experiments showing complex spatio-temporal behaviour.
| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Additional Information: | No evidence of copyright restrictions on web site. |
| Uncontrolled Keywords: | phase equation, nonlinear excitation, oscillators |
| Fields of Research (FOR2008): | 01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications |
| Subjects: | UNSPECIFIED |
| Socio-Economic Objective (SEO2008): | UNSPECIFIED |
| ID Code: | 7169 |
| Deposited By: | |
| Deposited On: | 25 Mar 2010 16:28 |
| Last Modified: | 22 Sep 2011 11:05 |
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