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.
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页码：26 / 37
页数：11
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