A new case of truncated phase equation for coupled oscillators

Paper

Strunin, Dmitry V.. 2009. "A new case of truncated phase equation for coupled oscillators ." Yahya, Abu Hasan (ed.) 5th Asian Mathematical Conference (AMC2009). Kuala Lumpur, Malaysia 22 - 26 Jun 2009 Kuala-Lumpur, Malaysia.
Paper/Presentation Title

A new case of truncated phase equation for coupled oscillators

Presentation TypePaper
Authors
AuthorStrunin, Dmitry V.
EditorsYahya, Abu Hasan
Journal or Proceedings TitleProceedings of the 5th Asian Mathematical Conference (AMC2009)
Journal Citation2, pp. 588-593
Number of Pages6
Year2009
Place of PublicationKuala-Lumpur, Malaysia
ISBN9789675417542
Web Address (URL) of Paperhttp://math.usm.my/
Conference/Event5th Asian Mathematical Conference (AMC2009)
Event Details
5th Asian Mathematical Conference (AMC2009)
Event Date
22 to end of 26 Jun 2009
Event Location
Kuala Lumpur, Malaysia
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.

Keywordsphase equation, nonlinear excitation, oscillators
ANZSRC Field of Research 2020490105. Dynamical systems in applications
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Byline AffiliationsDepartment of Mathematics and Computing
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