The transition from asynchronous dynamics to generalized chaotic synchronization and then to completely synchronous dynamics is known to be accompanied by on-off intermittency. We show that there is another (second) type of the transition called jump intermittency which occurs near the boundary of generalized synchronization in chaotic systems with complex two-sheeted attractors. Although this transient behavior also exhibits intermittent dynamics, it differs sufficiently from on-off intermittency supposed hitherto to be the only type of motion corresponding to the transition to generalized synchronization. This type of transition has been revealed and the underling mechanism has been explained in both unidirectionally and mutually coupled chaotic Lorenz and Chen oscillators. To detect the epochs of synchronous and asynchronous motion in mutually coupled oscillators with complex topology of an attractor a technique based on finding time intervals when the phase trajectories are located on equal or different sheets of chaotic attractors of coupled oscillators has been developed. We have also shown that in the unidirectionally coupled systems the proposed technique gives the same results that may obtained with the help of the traditional method using the auxiliary system approach.

中文翻译：

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跳跃间歇性是进入和退出广义同步的第二种类型。

从异步动力学到广义混沌同步再到完全同步动力学的过渡伴随着开关的间歇性。我们表明，还有另一种（第二种）过渡类型，称为跳跃间歇性发生在具有复杂两层吸引子的混沌系统中的广义同步边界附近。尽管这种瞬态行为也表现出间歇性的动力学特性，但它与迄今被认为是唯一与过渡到广义同步的运动类型有关的开-关间歇性有很大的区别。已经揭示了这种类型的跃迁，并在单向和相互耦合的混沌Lorenz和Chen振荡器中解释了下伏机制。为了检测具有吸引子的复杂拓扑结构的相互耦合的振荡器中的同步和异步运动的时代，已经开发了一种基于当相轨迹位于相等或不同的耦合振荡器的混沌吸引子上时找到时间间隔的技术。