Examples of Lorenz-like Attractors in Hénon-like Maps
Examples of Lorenz-like Attractors in Hénon-like Maps
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类 Hénon 图中的类洛伦兹吸引子示例
DOI：
10.1051/mmnp/20138504
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
D. Turaev
中科院分区：
文献类型：
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作者：
S. Gonchenko;A. Gonchenko;I. Ovsyannikov;D. Turaev
We display a gallery of Lorenz-like attractors that emerge in a class of three-dimensional maps. We review the theory of Lorenz-like attractors for diffeomorphisms (as opposed to flows), define various types of such attractors, and find sufficient conditions for three-dimensional Henon-like maps to possess pseudohyperbolic Lorenz-like attractors. The numerically obtained scenarios of the creation and destruction of these attractors are also presented.
