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]: 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)|
|Item Status:||Live Archive|
|Additional Information:||No evidence of copyright restrictions on web site.|
|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 :||01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications|
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