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Cite Details

Christian Elphick, Aric Hagberg and Ehud Meron, "Phase front solutions and instabilities in forced oscillations", in Equadiff 99 : Proceedings of the International Conference on Differential Equations Berlin, Germany 12 August 1999, pp. , 2000

Abstract

We study extended oscillatory systems that respond to uniform periodic forcing at one quarter of the forcing frequency. We find a new type of front instability where a stationary front shifting the oscillation phase by π decomposes into a pair of traveling fronts each shifting the phase by π/2. The instability designates a transition from standing two-phase patterns, involving alternating domains with a phase shift of π, to traveling four-phase patterns. A generalization of the instability to higher resonances is conjectured.

BibTeX Entry

@inproceedings{elphick-2000-phase,
author = {Christian Elphick and Aric Hagberg and Ehud Meron},
title = {Phase front solutions and instabilities in forced oscillations},
year = {2000},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/phasefront/phasefront.pdf},
booktitle = {Equadiff 99 : Proceedings of the International Conference on Differential Equations Berlin, Germany 12 August 1999},
pages = {}
}