SMALL-AMPLITUDE PERIODIC AND CHAOTIC SOLUTIONS OF THE COMPLEX GINZBURG-LANDAU EQUATION FOR A SUBCRITICAL BIFURCATION

被引:71
作者
SCHOPF, W
KRAMER, L
机构
[1] Physikalisches Institut, Universität Bayreuth
关键词
D O I
10.1103/PhysRevLett.66.2316
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present numerically obtained bounded solutions of the one-dimensional complex Ginzburg-Landau equation with a destabilizing cubic term and no stabilizing higher-order contributions. The boundedness results from competition between dispersion and nonlinear frequency renormalization. We find chaotic and also stationary and time-periodic states with spatial structure corresponding to a periodic array of pulses. An analytical description is presented. Possibly experimental results connected with the dispersive chaos found in binary fluid mixtures can be explained.
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页码:2316 / 2319
页数:4
相关论文
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