ECKHAUS AND BENJAMIN-FEIR INSTABILITIES NEAR A WEAKLY INVERTED BIFURCATION

被引：13

作者：

BRAND, HR

DEISSLER, RJ

机构：

[1] UNIV CALIF LOS ALAMOS SCI LAB, CTR NONLINEAR STUDIES, LOS ALAMOS, NM 87545 USA

[2] NASA, LEWIS RES CTR, INST COMPUTAT MECH PROP, CLEVELAND, OH 44135 USA

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.45.3732

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate how the criteria for two prototype instabilities in one-dimensional pattern-forming systems, namely for the Eckhaus instability and for the Benjamin-Feir instability, change as one goes from a continuous bifurcation to a spatially periodic or spatially and/or time-periodic state to the corresponding weakly inverted, i.e., hysteretic, cases. We also give the generalization to two-dimensional patterns in systems with anisotropy as they arise, for example, for hydrodynamic instabilities in nematic liquid crystals.

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页码：3732 / 3736

页数：5

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