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.
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited:	25 Mar 2010 06:28
Last Modified:	02 Jul 2013 23:43
Uncontrolled Keywords:	phase equation, nonlinear excitation, oscillators
Fields of Research (2008):	01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490105 Dynamical systems in applications
URI:	http://eprints.usq.edu.au/id/eprint/7169

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