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.
|HTML Citation||EndNote||Dublin Core||Reference Manager|
Full text available as:
|PDF (Accepted Version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
Official URL: http://math.usm.my/
[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|
|Socio-Economic Objective (SEO2008):||UNSPECIFIED|
|Deposited On:||25 Mar 2010 16:28|
|Last Modified:||22 Sep 2011 11:05|
Archive Staff Only: edit this record