Phase front dynamics in inhomogeneously forced oscillatory systems

Phase front dynamics in inhomogeneously forced oscillatory systems

Publication Type:

Journal Article

Source:

Physica A: Statistical Mechanics and its Applications, Volume 306, p.199-210 (2002)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0036539804&doi=10.1016%2fS0378-4371%2802%2900498-3&partnerID=40&md5=c25f45294aa57406224460235f10a77c

Keywords:

Bifurcation (mathematics), Chaos theory, Chaotic patterns, Diffusion, Oscillations, Phase front dynamics, Resonance

Abstract:

Resonantly forced reaction-diffusion systems possess phase-locked domains separated by phase fronts. A nonequilibrium Ising-Bloch bifurcation in which a stationary Ising front loses stability to a pair of counterpropagating Bloch fronts with opposite chirality exists in 2:1 forced systems. For such systems, we study the effects of a spatially inhomogeneous forcing intensity which varies in space across the bifurcation. In such a case, a propagating Bloch front which encounters a domain where the forcing intensity lies in the Ising regime undergoes a change in chirality and is reflected from the Ising domain. This phenomenon is studied analytically and numerically in one dimension. In two dimensions systems with regular and disordered forcing are studied; the spatial arrangement of Ising domains may give rise to complex pattern dynamics. © 2002 Elsevier Science B.V. All rights reserved.

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