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Stability of traveling waves for a conserved field

✍ Scribed by Walter Zimmermann

Book ID
104341470
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
341 KB
Volume
237
Category
Article
ISSN
0378-4371

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✦ Synopsis

The stability of traveling waves is investigated for a model describing the post threshold behavior beyond oscillatory instabilities for a class of systems with a conserved order parameter. Oscillatory instabilities and their post threshold behavior in systems with unconserved order parameters have been a central topic of nonlinear science during the recent decade. The most famous equation in this context is the Ginzburg-Landau equation with complex coefficients. Here 1 discuss a straight forward generalization of this Ginzburg-Landau equation which covers also spinodal decomposition and the crossover to an oscillatory instability for a globally conserved order parameter. Especially, the modification of the border to spatiotemporal chaos is considered, which is described by the so-called BenjamimFeir resonance.

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