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arXiv physics/0606157physics.plasm-phnlin.CD
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空间扩展束-等离子体耦合系统的混沌同步

Chaotic synchronization in coupled spatially extended beam-plasma systems

Roman A. Filatov, Alexander E. Hramov, Alexey A. Koronovskii

摘要:

研究了空间扩展束-等离子体耦合皮尔斯系统的混沌同步现象。仅在每个子系统的右边界上引入耦合。结果表明,随着耦合的增加,空间扩展的束-等离子体系统表现出从异步行为到相位同步,然后到完全同步制度的过渡。对于混沌同步的考虑,我们使用工作[Chaos,14,3(2004)603-610]中描述的时间尺度同步的概念,并且基于混沌信号的连续相位集的引入。在单向耦合的情况下,在空间扩展的束-等离子体系统中观察到了广义同步区。利用改进的系统方法[Phys. Rev. E,71,6(2005)067201]分析了广义同步的出现机制.

英文摘要:

The appearance of the chaotic synchronization regimes has been discovered for the coupled spatially extended beam-plasma Pierce systems. The coupling was introduced only on the right bound of each subsystem. It has been shown that with coupling increase the spatially extended beam-plasma systems show the transition from asynchronous behavior to the phase synchronization and then to the complete synchronization regime. For the consideration of the chaotic synchronization we used the concept of time scale synchronization described in work [Chaos, 14, 3 (2004) 603-610] and based on the introduction of the continuous set of phases of chaotic signal. In case of unidirectional coupling the generalized synchronization regime has been observed in the spatially extended beam-plasma systems. The generalized synchronization appearance mechanism has been analyzed by means of the offered modified system approach [Phys. Rev. E, 71, 6 (2005) 067201].

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