A new case of truncated phase equation for coupled oscillators

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.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions on web site.
Depositing User: Dr Dmitry Strunin
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 25 Mar 2010 06:28
Last Modified: 02 Jul 2013 23:43
Uncontrolled Keywords: phase equation, nonlinear excitation, oscillators
Fields of Research (FOR2008): 01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
URI: http://eprints.usq.edu.au/id/eprint/7169

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