Stability limits of traveling waves and the transition to spatiotemporal chaos in the complex Ginzburg-Landau equation

A. Weber; L. Kramer; I. S. Aranson; L. Aranson

doi:10.1016/0167-2789(92)90171-I

Stability limits of traveling waves and the transition to spatiotemporal chaos in the complex Ginzburg-Landau equation

A. Weber, L. Kramer, I. S. Aranson, L. Aranson

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38 Scopus citations

Abstract

Due to the convective nature of the Eckhaus instability in oscillatory media there exists a conventively unstable wavenumber band in the Benjamin-Feir unstable region. This appears to explain, at least qualitatively, some features of spatiotemporal chaos found recently in the Ginzburg-Landau theory.

Original language	English (US)
Pages (from-to)	279-283
Number of pages	5
Journal	Physica D: Nonlinear Phenomena
Volume	61
Issue number	1-4
DOIs	https://doi.org/10.1016/0167-2789(92)90171-I
State	Published - Dec 30 1992

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(92)90171-I

Cite this

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abstract = "Due to the convective nature of the Eckhaus instability in oscillatory media there exists a conventively unstable wavenumber band in the Benjamin-Feir unstable region. This appears to explain, at least qualitatively, some features of spatiotemporal chaos found recently in the Ginzburg-Landau theory.",

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AU - Aranson, L.

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AB - Due to the convective nature of the Eckhaus instability in oscillatory media there exists a conventively unstable wavenumber band in the Benjamin-Feir unstable region. This appears to explain, at least qualitatively, some features of spatiotemporal chaos found recently in the Ginzburg-Landau theory.

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Stability limits of traveling waves and the transition to spatiotemporal chaos in the complex Ginzburg-Landau equation

Abstract

All Science Journal Classification (ASJC) codes

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