Phase equation with nonlinear excitation for nonlocally coupled oscillators
type: Item
instance of: scholarly article
title: Phase equation with nonlinear excitation for nonlocally coupled oscillators
zbMATH Open document ID: 1180.35289
published in: Physica D
publication date: 2009-10-09T00:00:00Z
full work available at URL: Strunin Physica D v238n18 AV.pdf
review text: The author derives a nonlinear excited truncated phase equation of the form \(\partial_t\psi=b_4\nabla^2\psi(\nabla\psi)^2+b_5(\nabla\psi)^4+g_1\nabla^6\psi\) from the complex Ginzburg-Landau equation, governing the dynamics of reaction-diffusion systems with nonlocal coupling. In introduction it is noted that here can arise different situations governed by other equations in dependence on the truncation order in evolution equation for the phase of oscillations in reaction-diffusion systems with oscillatory dynamics and on the behavior of evolution equation coefficients.
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q56
zbMATH DE Number: 5612807
zbMATH Keywords: truncated phase equation
zbMATH Keywords: nonlocal coupling
zbMATH Keywords: reaction-diffusion systems
author: Dmitry V. Strunin
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
OpenAlex ID: W2001081698
cites work: Chemical oscillations, waves, and turbulence
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
cites work: Q3992581
cites work: Autosoliton model of the spinning fronts of reaction
DOI: 10.1016/J.PHYSD.2009.06.022
description: scientific article; zbMATH DE number 5612807