Parametric space for nonlinearly excited phase equation

Article


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), pp. C236-C248.
Article Title

Parametric space for nonlinearly excited phase equation

ERA Journal ID43
Article CategoryArticle
AuthorsStrunin, D. V. (Author) and Mohammed, M. G. (Author)
Journal TitleAustralian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Journal Citation53 (S), pp. C236-C248
Number of Pages13
Year2012
Place of PublicationCambridge, United Kingdom
ISSN1446-1811
1446-8735
Web Address (URL)http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5065
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.

Keywordsdissipative systems; nonlinear excitation; Kuramoto-Sivashinsky equation
ANZSRC Field of Research 2020499999. Other mathematical sciences not elsewhere classified
490409. Ordinary differential equations, difference equations and dynamical systems
490105. Dynamical systems in applications
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Byline AffiliationsDepartment of Mathematics and Computing
Institution of OriginUniversity of Southern Queensland
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