Amplitude wave in one-dimensional complex Ginzburg-Landau equation

被引：4

作者：

Ling-Ling, Xie ^{[1
]}

Jia-Zhen, Gao ^{[1
]}

Wei-Miao, Xie ^{[1
]}

Ji-Hua, Gao ^{[1
]}

机构：

[1] Shenzhen Univ, Shenzhen Key Lab Special Funct Mat, Coll Mat, Shenzhen 518060, Peoples R China

来源：

CHINESE PHYSICS B | 2011年 / 20卷 / 11期

关键词：

wave propagation; complex Ginzburg-Landau equation; amplitude wave; CONTROLLING SPATIOTEMPORAL CHAOS; OSCILLATORY MEDIA; FEEDBACK METHOD; PLANE-WAVE; PHASE; INSTABILITY; TRANSITION; TURBULENCE; SYSTEMS;

D O I：

10.1088/1674-1056/20/11/110503

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The wave propagation in the one-dimensional complex Ginzburg-Landau equation (CGLE) is studied by considering a wave source at the system boundary. A special propagation region, which is an island-shaped zone surrounded by the defect turbulence in the system parameter space, is observed in our numerical experiment. The wave signal spreads in the whole space with a novel amplitude wave pattern in the area. The relevant factors of the pattern formation, such as the wave speed, the maximum propagating distance and the oscillatory frequency, are studied in detail. The stability and the generality of the region are testified by adopting various initial conditions. This finding of the amplitude pattern extends the wave propagation region in the parameter space and presents a new signal transmission mode, and is therefore expected to be of much importance.

引用

页数：6

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