Chaotic dynamics in quadratic systems with singular linear part

被引：0
|
作者：
V. E. Belozyrov
S. A. Volkova
机构：
[1] O. Gonchar Dnipropetrovsk National University,
来源：
Cybernetics and Systems Analysis | 2012年 / 48卷 / 4期
关键词：
system of autonomous ordinary differential equations; homoclinic orbit; heteroclinic orbit; chaotic attractor;
D O I：
10.1007/s10559-012-9437-4
中图分类号：
学科分类号：
摘要：
New existence conditions are found for homoclinic and heteroclinic orbits for systems of quadratic ordinary differential equations with singular linear part. Implementing these conditions together with Shilnikov’s theorems guarantees the existence of chaotic attractors in 3-D autonomous quadratic systems. The examples of the chaotic attractors are given.
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页码：578 / 585
页数：7
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