噪声对非双曲吸引子统计性质的影响

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Pub Date : 2000-12-01 DOI:10.1103/physreve.62.7886

Anishchenko, Kopeikin, Vadivasova, Strelkova, Kurths

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引用次数: 16

摘要

分析了二维可逆映射中有界白噪声和有色噪声对非双曲混沌吸引子的影响。证明了非双曲混沌在强噪声下仍保持非双曲性质;其次，由于弱噪声的存在，非双曲混沌的某些性质可以变得与双曲混沌和几乎双曲混沌相似。我们还估计了噪声非双曲吸引子的平稳概率测度。为此，应用了两种不同的概率密度计算方法，并对所得结果进行了详细的比较。

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Influence of noise on statistical properties of nonhyperbolic attractors

We analyze effects of bounded white and colored noise on nonhyperbolic chaotic attractors in two-dimensional invertible maps. It is shown that first the nonhyperbolic nature is kept even in the presence of strong noise, but secondly already due to weak noise some properties of nonhyperbolic chaos can become similar to those of hyperbolic and almost hyperbolic chaos. We also estimate the stationary probability measure of noisy nonhyperbolic attractors. For this purpose two different methods for calculating the probability density are applied and the obtained results are compared in detail.

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Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

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