On phase Synchronization by periodic Force in Chaotic oscillators with saddle Equilibria
On phase Synchronization by periodic Force in Chaotic oscillators with saddle Equilibria
复制标题
鞍平衡混沌振子中周期力的相位同步研究
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
J. Kurths
中科院分区：
文献类型：
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作者：
M. Zaks;E. Park;J. Kurths
对混沌系统的周期性作用可以导致相位同步：虽然振荡仍然是混沌的，但它们的速度由力的节奏决定。我们展示了如何调整的特征时间尺度的强制期间被违反时，由于存在一个鞍点的自主吸引子，返回到庞加莱平面之间的时间间隔是无界的。在这种情况下，其相位跟随力的相位的混沌轨迹的段可以与相位锁定的短段以不同于1：1的比率交替。这一现象被证明为几个非线性系统。
A periodic action onto a chaotic system can result in phase synchronization: Although the oscillations remain chaotic, their pace is prescribed by the rhythm of the force. We show how this adjustment of characteristic timescales to the period of the forcing is violated when, due to the presence of a saddle point in the autonomous attractor, the time intervals between returns onto a Poincare plane are unbounded. In such a situation, the segments of a chaotic trajectory in which its phase follows the phase of the force, can alternate with short segments of phase-locking in ratios different from 1:1. This phenomenon is demonstrated for several nonlinear systems.