弱耦合相同系统的轨道渐近稳定循环

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342036

I. Barabanov, V. Tkhai

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引用次数: 1

摘要

考虑了包含耦合相同子系统的动力学模型。假设子系统具有一组周期解，其周期是单一数值参数的单调函数。对耦合所施加的条件，使整个系统允许一个类似于子系统的周期运动族Σ。轨道渐近稳定循环在Σ中有所区别。

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An orbitally asymptotically stable cycle in weakly coupled identical systems

The dynamical model containing coupled identical subsystems is considered. A subsystem is supposed to admit of a family of periodic solutions with the period being a monotonic function of a single numerical parameter. Conditions to be imposed on couplings such that the whole system admits a family Σ of periodic motions similar to that of a subsystem are found. An orbitally asymptotically stable cycle is distinguished in Σ.

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2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

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