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复金兹堡-朗道方程组中目标波的时空混沌控制

Spatiotemporal chaos control with a target wave in the complex Ginzburg-Landau equation system.

作者信息

Jiang Minxi, Wang Xiaonan, Ouyang Qi, Zhang Hong

机构信息

Department of Physics, Peking University, Beijing 100871, China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5 Pt 2):056202. doi: 10.1103/PhysRevE.69.056202. Epub 2004 May 11.

Abstract

An effective method for controlling spiral turbulence in spatially extended systems is realized by introducing a spatially localized inhomogeneity into a two-dimensional system described by the complex Ginzburg-Landau equation. Our numerical simulations show that with the introduction of the inhomogeneity, a target wave can be produced, which will sweep all spiral defects out of the boundary of the system. The effects exist in certain parameter regions where the spiral waves are absolutely unstable. A theoretical explanation is given to reveal the underlying mechanism.

摘要

通过将空间局部不均匀性引入由复金兹堡 - 朗道方程描述的二维系统中,实现了一种控制空间扩展系统中螺旋湍流的有效方法。我们的数值模拟表明,随着不均匀性的引入,可以产生一个目标波,它将把所有螺旋缺陷扫出系统边界。这些效应存在于螺旋波绝对不稳定的特定参数区域。给出了一个理论解释以揭示其潜在机制。

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