High-dimensional interior crisis in the Kuramoto-Sivashinsky equation

被引：34

作者：

Chian, ACL ^{[1
]}

Rempel, EL

Macau, EE

Rosa, RR

Christiansen, F

机构：

[1] Univ Adelaide, NITP, WISER, Adelaide, SA 5005, Australia

[2] INPE, Natl Inst Space Res, BR-12227010 Sao Jose Dos Campos, Brazil

[3] Danish Meteorol Inst, Solar Terrestrial Phys Div, DK-2100 Copenhagen O, Denmark

来源：

PHYSICAL REVIEW E | 2002年 / 65卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.65.035203

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

An investigation of interior crisis of high dimensions in an extended spatiotemporal system exemplified by the Kuramoto-Sivashinsky equation is reported. It is shown that unstable periodic orbits and their associated invariant manifolds in the Poincare' hyperplane can effectively characterize the global bifurcation dynamics of high-dimensional systems.

引用

页码：1 / 035203

页数：4

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