Transition to chaos in a Lorenz system via a complete double homoclinic bifurcation cascade

被引：1

作者：

Magnitskii N.A.

Sidorov S.V.

机构：

来源：

Computational Mathematics and Modeling | 2005年 / 16卷 / 1期

关键词：

Mathematical Modeling; Parameter Space; Computational Mathematic; Industrial Mathematic; Lorenz System;

D O I：

10.1007/s10598-005-0004-y

中图分类号：

学科分类号：

摘要：

For the Lorenz system of equations we prove the existence of a complete double homoclinic attractor and determine the region in the parameter space where this attractor is observed. A scenario is proposed illustrating the transition to chaos in a Lorenz system via a complete double homoclinic bifurcation cascade, which produces a complete double homoclinic attractor in general different from the Lorenz attractor. © 2005 Springer Science+Business Media, Inc.

引用

页码：26 / 37

页数：11

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