Hyperbolic chaos of standing wave patterns generated parametrically by a modulated pump source.

Hyperbolic chaos of standing wave patterns generated parametrically by a modulated pump source.
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由调制泵浦源参数化生成的驻波模式的双曲混沌。

DOI:
10.1103/physreve.87.040901
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发表时间:
2013
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
S. Kuznetsov
S. Kuznetsov
中科院分区:
--
文献类型:
--
作者:
O. Isaeva;A. Kuznetsov;S. Kuznetsov

文献摘要

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我们概述了双曲混沌动力学的可能性与扩展圆映射的空间相位的参数激发驻波模式。模型系统由一维非线性耗散波动方程控制。这种现象的产生是由于泵浦调制以1:3的特征尺度比提供模式的交替激励。
We outline a possibility of hyperbolic chaotic dynamics associated with the expanding circle map for spatial phases of parametrically excited standing wave patterns. The model system is governed by a one-dimensional wave equation with nonlinear dissipation. The phenomenon arises due to the pump modulation providing the alternating excitation of modes with the ratio of characteristic scales 1:3.