具有不同吸引子拓扑结构的单向耦合系统中的间歇广义同步性

Olga I. Moskalenko, Maria K. Kurovskaya, Alexey A. Koronovskii
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摘要

研究了具有不同吸引子拓扑结构的单向耦合混沌系统中广义同步边界附近的间歇现象。结果表明,在具有简单拓扑吸引子的系统对具有复杂拓扑吸引子的系统产生影响的情况下,以及反之,在具有复杂拓扑吸引子的系统对具有简单拓扑吸引子的系统产生影响的情况下,都能观察到通断间歇现象。单向耦合的罗斯勒和洛伦兹系统以及具有 1.5 个自由度的辐射技术发生器被视为样本系统。讨论了导致出现开关间歇现象的机制。
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Intermittent generalized synchronization in unidirectionally coupled systems with different topology of attractors

Intermittency near the boundary of generalized synchronization in unidirectionally coupled chaotic systems with different topology of attractors is studied. On–off intermittency is shown to be observed both in the case of the influence of the system with a simple topology of attractor on the system with a complex topology and, vice versa, in the case of the influence of the system with a complex topology of attractor on the system with a simple topology. Unidirectionally coupled Rössler and Lorenz systems and radiotechnical generators with 1.5 number of degrees of freedom have been considered as sample systems. Mechanisms resulting in the on–off intermittency appearance have been discussed.

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