有噪声的I型间歇性与孔眼间歇性
Type-I Intermittency With Noise Versus Eyelet Intermittency
摘要：
在这篇文章中，我们比较了两种类型的间歇行为（在噪声存在下的I型不稳定性和在混沌相位同步边界附近发生的不稳定性）的特性，迄今为止，这两种间歇行为被认为是不同的现象。我们表明，这些影响是在不同条件下观察到的相同类型的动力学。通过对二次映射、Van der Pol振子和Rossler系统等不同样本系统的研究，证实了结论的正确性。关于间歇行为的上边界的问题的考虑也证实了关于在存在噪声的情况下I型不稳定性和在相位同步开始时观察到的不稳定性的等价性的陈述的有效性。
英文摘要：
In this article we compare the characteristics of two types of the intermittent behavior (type-I intermittency in the presence of noise and eyelet intermittency taking place in the vicinity of the chaotic phase synchronization boundary) supposed hitherto to be different phenomena. We show that these effects are the same type of dynamics observed under different conditions. The correctness of our conclusion is confirmed by the consideration of different sample systems, such as quadratic map, Van der Pol oscillator and Rossler system. Consideration of the problem concerning the upper boundary of the intermittent behavior also confirms the validity of the statement on the equivalence of type-I intermittency in the presence of noise and eyelet intermittency observed in the onset of phase synchronization.
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