On the Non-Existence of Shilnikov Chaos in Continuous-Time Systems
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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.
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关键词:
- 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 nonexistence of homoclinic and heteroclinic orbits.-
Key words:
- homoclinic chaos /
- heteroclinic chaos /
- non-existence of Shilnikov chaos
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