Modulated amplitude waves and the transition from phase to defect chaos

被引：55

作者：

Brusch, L

Zimmermann, MG

van Hecke, M

Bär, M

Torcini, A

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Univ Illes Balears, CSIC, IMEDEA, E-07071 Palma de Mallorca, Spain

[3] Niels Bohr Inst, Ctr Chaos & Turbulence Studies, DK-2100 Copenhagen, Denmark

[4] Ist Nazl Fis Mat, Unita Firenze, I-50125 Florence, Italy

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 85卷 / 01期

关键词：

D O I：

10.1103/PhysRevLett.85.86

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We describe periodic coherent structures of the CGLE, called modulated amplitude waves (MAWs). MAWs of various periods P occur in phase chaotic states. A bifurcation study of the MAWs reveals that for sufficiently large period, pairs of MAWs cease to exist via a saddle-node bifurcation. For periods beyond this bifurcation, incoherent near-MAW structures evolve towards defects. This leads to our main result: the transition from phase to defect chaos takes place when the periods of MAWs in phase chaos an driven beyond their saddle-node bifurcation.

引用

页码：86 / 89

页数：4

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