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物理学报. 2007, 56(4): 1971-1974.
doi: 10.7498/aps.56.1971.
耦合混沌振子系统完全同步的动力学行为
- 收稿日期: 2006-06-16
- 修回日期: 2006-10-27
- 刊出日期: 2007-02-05
摘要: 以耦合Duffing振子为对象，研究了混沌系统进入完全同步态时的一些动力学行为. 在对称耦合情况下，随着耦合系数的变化系统达到各个混沌振子的相轨道完全相同的同步态——完全同步态. 通过计算Lyapunov指数表明，此时系统的前两个横向Lyapunov指数相等，同时系统之间的时间关联表现出明显的规律性.
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关键词:
- Duffing振子 /
- 混沌同步 /
- Lyapunov指数
English Abstract
Dynamic behavior of complete synchronization of coupled chaotic oscillators
- Received Date:
16 June 2006
- Accepted Date:
27 October 2006
- Published Online:
05 February 2007
Abstract: The dynamic behavior of phase synchronization in coupled oscillators is investigated using Lyapunov exponents and correlation function. A strongest chaotic phase synchronization——complete synchronization was observed, in which the first two transverse Lyapunov exponents are made equal and the projective structures of oscillators become exactly the same.
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