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Complex Dynamics of a Distributed Parametric Oscillator

机译:分布参量振荡器的复杂动力学

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摘要

The dynamics of a system with three parametrically coupled waves with delayed feedback is considered. Results of the detailed numerical simulation of the onset of self-modulation, as well as complex dynamic and chaotic regimes, are presented. The relation of self-modulation regimes with the formation and propagation of solitons is investigated. It is discovered that as the pump parameter increases, the synchronization of phases of the interacting waves, which is characteristic of stationary generation and periodic self-modulation regimes, is violated, and the system goes to a chaotic regime via intermittency.
机译:考虑具有三个具有延迟反馈的参数耦合波的系统的动力学。给出了自调制开始以及复杂的动态和混沌状态的详细数值模拟结果。研究了自调节机制与孤子形成和传播的关系。发现随着泵参数的增加,相互作用波的相位同步(其是平稳生成和周期性自调制机制的特征)被破坏,并且系统通过间歇性进入混沌机制。

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