Synchronization of chaotic systems with different order.
Synchronization of chaotic systems with different order.
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DOI：
10.1103/physreve.65.036226
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发表时间：
2002-03
期刊：
影响因子：
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通讯作者：
R. Femat;G. Solís-Perales
中科院分区：
文献类型：
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作者：
R. Femat;G. Solís-Perales
研究了三阶系统与二阶驱动振子的混沌同步问题。这样的问题与严格不同的混沌系统的同步有关。我们证明了二阶驱动振子的动力学演化可以与三阶混沌系统的正则投影同步。在这个意义上，可以说同步是以降阶实现的。从系统采用Duffing方程，主系统采用Chua振子.该同步方案具有非线性反馈结构。在实际意义上实现了降阶同步，即，对于所有时间t>或=t（0）>或=0，差值e=x（3）-x（1）（1）接近于零，其中t（0）表示控制激活的时间。
The chaotic synchronization of third-order systems and second-order driven oscillator is studied in this paper. Such a problem is related to synchronization of strictly different chaotic systems. We show that dynamical evolution of second-order driven oscillators can be synchronized with the canonical projection of a third-order chaotic system. In this sense, it is said that synchronization is achieved in reduced order. Duffing equation is chosen as slave system whereas Chua oscillator is defined as master system. The synchronization scheme has nonlinear feedback structure. The reduced-order synchronization is attained in a practical sense, i.e., the difference e=x(3)-x(1)(') is close to zero for all time t> or =t(0)> or =0, where t(0) denotes the time of the control activation.