在连续的时间系统中不存在Shilnikov型混沌

Z·艾哈得基; J·C·斯普饶特

doi:10.3879/j.issn.1000-0887.2012.03.008

在连续的时间系统中不存在Shilnikov型混沌

doi: 10.3879/j.issn.1000-0887.2012.03.008

Z·艾哈得基¹,
J·C·斯普饶特²

特贝萨大学数学系,特贝萨 12002,阿尔及利亚;

详细信息

中图分类号: O157.1
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出版历程
- 收稿日期: 2011-03-07
- 修回日期: 2011-11-25
- 刊出日期: 2012-03-15

On the Non-Existence of Shilnikov Chaos in Continuous-Time Systems

Zeraoulia Elhadj¹,
J.C.Sprott²

¹Department of Mathematics, University of Tebessa, 12002, Algeria;²Department of Physics, University of Wisconsin, Madison, WI 53706, USA

摘要

摘要: 在n维的、时间连续的光滑系统中，得到了不存在同宿轨道和异宿轨道的条件．基于此结论并用一个基本实例，推断出如下结论：在多项式常微分方程系统中，有着以不存在同宿轨道和异宿轨道为特征的第4类混沌．
- 同宿混沌 /
- 异宿混沌 /
- Shilnikov混沌的不存在性
Abstract: A non-existence condition for homoclinic and heteroclinic orbits in n-dimensional, continuous-time, smooth systems was obtained. Based on this result, and using an elementary example, it was conjectured that there was a fourth kind of chaos in polynomial ODE systems characterized by the nonexistence of homoclinic and heteroclinic orbits.
- homoclinic chaos /
- heteroclinic chaos /
- non-existence of Shilnikov chaos

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参考文献(14)

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