Parametric space for nonlinearly excited phase equation

Strunin, D. V. and Mohammed, M. G. (2012) Parametric space for nonlinearly excited phase equation. Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 53 (S). C236-C248. ISSN 1446-8735

Abstract

Slow variations in the phase of oscillators coupled by diffusion is generally described by a partial differential equation involving infinitely many terms. We consider the case of nonlocal coupling and numerically evaluate the ranges of parameters leading to different forms of a finite truncation of the equation, namely a form based on nonlinear
excitation and a form based on linear excitation – the Kuramoto-Sivashinsky equation.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © Australian Mathematical Society 2012. Permanent restricted access to published version due to publisher copyright policy. This Special Section of the ANZIAM Journal (Electronic Supplement) contains the refereed papers from the 10th Biennial Engineering Mathematics and Application Conference (EMAC2011) held at University Technology Sydney in December 2011.
Faculty / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 30 Dec 2012 07:39
Last Modified: 09 Feb 2017 06:14
Uncontrolled Keywords: dissipative systems; nonlinear excitation; Kuramoto-Sivashinsky equation
Fields of Research : 01 Mathematical Sciences > 0199 Other Mathematical Sciences > 019999 Mathematical Sciences not elsewhere classified
01 Mathematical Sciences > 0101 Pure Mathematics > 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/22503

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