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

Research output: Contribution to journal › Article › peer-review

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

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 - Weber, A.

AU - Kramer, L.

AU - Aranson, I. S.

AU - Aranson, L.

PY - 1992/12/30

Y1 - 1992/12/30

N2 - 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.

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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U2 - 10.1016/0167-2789(92)90171-I

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ER -

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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