Research of Chaotic Dynamics of 3D Autonomous Quadratic Systems by Their Reduction to Special 2D Quadratic Systems

被引：7
作者：
Belozyorov, Vasiliy [1 ]
机构：
[1] Dnepropetrovsk Natl Univ, Dept Appl Math, UA-49050 Dnepropetrovsk, Ukraine
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
HOMOCLINIC ORBITS; HETEROCLINIC ORBITS; 3-D SYSTEMS; EXISTENCE; SADDLE;
D O I：
10.1155/2015/271637
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
New results about the existence of chaotic dynamics in the quadratic 3D systems are derived. These results are based on the method allowing studying dynamics of 3D system of autonomous quadratic differential equations with the help of reduction of this system to the special 2D quadratic system of differential equations.
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页数：15
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