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Chaos and Self-organization of Oscillations in the System of Coupled Oscillators with a Nonlinear Delayed Feedback

机译:非线性时滞反馈耦合振动器系统中振动的混沌和自组织

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摘要

A system of coupled chaotic oscillators with a nonlinear delayed feedback is considered. The equations of motion of the coupled system with a nonlinear delayed feedback in the coupling elements are presented. A coupled system consisting of two partial oscillator (subsystems) is analyzed numerically at various values of delay in the nonlinear coupling elements. The self-organization mode of coupled chaotic oscillations, which is mapped by the limit cycle, is shown to be possible. The oscillations of the system can be controlled by the periodic variation of delay time in the nonlinear coupling element or in the feedback circuit of a coupled subsystem.
机译:考虑具有非线性延迟反馈的耦合混沌振荡器系统。提出了在耦合元件中具有非线性延迟反馈的耦合系统的运动方程。在非线性耦合元件的各种延迟值下,对由两个部分振荡器(子系统)组成的耦合系统进行数值分析。耦合混沌振荡的自组织模式(由极限循环映射)是可能的。可以通过非线性耦合元件或耦合子系统的反馈电路中延迟时间的周期性变化来控制系统的振荡。

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