On the Birth of Discrete Lorenz Attractors Under Bifurcations of 3D Maps with Nontransversal Heteroclinic Cycles

被引：0

作者：

Ivan I. Ovsyannikov

机构：

[1] University of Bremen,

[2] MARUM,undefined

[3] Department of Mathematics,undefined

[4] Lobachevsky State University of Nizhny Novgorod,undefined

[5] ITMM,undefined

来源：

Regular and Chaotic Dynamics | 2022年 / 27卷

关键词：

heteroclinic orbit; rescaling; 3D Hénon map; bifurcation; Lorenz attractor;

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学科分类号：

摘要：

Lorenz attractors are important objects in the modern theory of chaos. The reason, on the one hand, is that they are encountered in various natural applications (fluid dynamics, mechanics, laser dynamics, etc.). On the other hand, Lorenz attractors are robust in the sense that they are generally not destroyed by small perturbations (autonomous, nonautonomous, stochastic). This allows us to be sure that the object observed in the experiment is exactly a chaotic attractor rather than a long-time periodic orbit.

引用

页码：217 / 231

页数：14