Synchronization dynamics of two different dynamical systems
Synchronization dynamics of two different dynamical systems
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DOI：
10.1016/j.chaos.2010.12.011
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发表时间：
2011-06
影响因子：
7.8
通讯作者：
A. Luo;F. Min
中科院分区：
文献类型：
--
作者：
A. Luo;F. Min
本文通过不连续动力系统理论研究了两个不同动力系统的同步动力学。给出了同步、失同步和瞬时同步（穿透或掠射）的充要条件。利用这种同步理论，将受控摆与杜芬振子的同步作为一个抽样问题进行了系统的讨论，并给出了相应的同步分析条件。进行同步参数研究是为了更好地了解受控摆和杜芬振荡器的同步特性。最后，提出了具有周期性和混沌运动的受控摆的部分和完全同步，以说明分析条件。研究了杜芬振子和摆的同步，以证明本文方法的实用性和效率。获得同步不变域。本文提出的技术应该在工程中具有广泛的应用。例如，该技术可以应用于机动目标跟踪等。
In this paper, synchronization dynamics of two different dynamical systems is investigated through the theory of discontinuous dynamical systems. The necessary and sufficient conditions for the synchronization, de-synchronization and instantaneous synchronization (penetration or grazing) are presented. Using such a synchronization theory, the synchronization of a controlled pendulum with the Duffing oscillator is systematically discussed as a sampled problem, and the corresponding analytical conditions for the synchronization are presented. The synchronization parameter study is carried out for a better understanding of synchronization characteristics of the controlled pendulum and the Duffing oscillator. Finally, the partial and full synchronizations of the controlled pendulum with periodic and chaotic motions are presented to illustrate the analytical conditions. The synchronization of the Duffing oscillator and pendulum are investigated in order to show the usefulness and efficiency of the methodology in this paper. The synchronization invariant domain is obtained. The technique presented in this paper should have a wide spectrum of applications in engineering. For example, this technique can be applied to the maneuvering target tracking, and the others.