TRAVELLING WAVES WITH SPATIALLY RESONANT FORCING: BIFURCATIONS OF A MODIFIED LANDAU EQUATION

被引：13

作者：

Glendinning, Paul ^{[1
]}

Proctor, Michael ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Silver St, Cambridge CB3 9EW, England

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1993年 / 3卷 / 06期

关键词：

D O I：

10.1142/S0218127493001148

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Normal form equations are derived representing the effects of spatially resonant forcing on a bifurcation to travelling waves in a nonreflexionally invariant system. The equations also describe the effects of forcing on the van der Pol-Duffing equation. It is found that the forcing prevents the propagation of the wave if it is sufficiently strong: the transition to a nonuniformly propagating solution can occur either via an oscillatory bifurcation or due to a saddle node bifurcation on a closed invariant curve.

引用

页码：1447 / 1455

页数：9

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