Strange nonchaotic attractors in autonomous and periodically driven systems.

Strange nonchaotic attractors in autonomous and periodically driven systems.
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DOI:
10.1103/physreve.54.3231
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发表时间:
1996-10
期刊:
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
影响因子:
--
通讯作者:
Vadim S. Anishchenko;T. Vadivasova;O. Sosnovtseva
Vadim S. Anishchenko;T. Vadivasova;O. Sosnovtseva
中科院分区:
其他
文献类型:
--
作者:
Vadim S. Anishchenko;T. Vadivasova;O. Sosnovtseva

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我们证明了一个奇异的非混沌吸引子不仅可以在准周期驱动系统中实现,而且可以在自治的和周期强迫的系统中实现。我们证明了通过带合并危机的遍历环面的破坏和奇怪的非混沌吸引子的出现适用于广泛的一类动力系统。
We demonstrate that a strange nonchaotic attractor can be realized not only in quasiperiodically driven systems but also in autonomous and periodically forced systems. We show that the destruction of an ergodic torus via a band-merging crisis and the appearance of a strange nonchaotic attractor are applicable to a wide class of dynamical systems.© 1996 The American Physical Society.