LINEAR-STABILITY ANALYSIS FOR BIFURCATIONS IN SPATIALLY EXTENDED SYSTEMS WITH FLUCTUATING CONTROL PARAMETER

被引：78

作者：

BECKER, A

KRAMER, L

机构：

[1] Physikalisches Institut, Universität Bayreuth

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 07期

关键词：

D O I：

10.1103/PhysRevLett.73.955

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the threshold in systems which exhibit a symmetry breaking instability, described, e.g., by Ginzburg-Landau or Swift-Hohenberg equations, with the control parameter fluctuating in space and time. Because of the long-tail property of the probability distributions all the moments of the linearized equations have different thresholds and none of them coincides with the threshold of the nonlinear equation, where the long tails are suppressed. We introduce a method to obtain the threshold of the full nonlinear system from the stability exponents of the first and second moments of the linearized equation.

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页码：955 / 958

页数：4

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