SHILNIKOV CHAOS IN LORENZ-LIKE SYSTEMS

被引：28
|
作者：
Leonov, G. A. [1 ]
机构：
[1] St Petersburg State Univ, Math & Mech Fac, Dept Appl Cybernet, St Petersburg, Russia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2013年 / 23卷 / 03期
关键词：
Shilnikov chaos; Lorenz-like system; homoclinic trajectory; fishing principle; Tricomi problem; Chen system; Lu system;
D O I：
10.1142/S0218127413500582
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For Lorenz-like system, conditions of Shilnikov chaos are obtained. Algorithms for computation of bifurcational values of parameters, which correspond to homoclinic trajectories are formulated. Modified Lorenz, Chen and Lu systems are considered.
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页数：10
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