The existence of homoclinic orbits to saddle-focus
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摘要
In this paper, an error of Zhou [Chaos Soliton. Fract. 19 (2004) 985] is pointed out through an example. And the improvement for the method of criterion to the existence of homoclinic to saddle-focus is given. Using this method, we can solve this example correctly, and easily get nonexistence of horseshoe chaos in meaning of S̆il'nikov.
论文关键词：Horseshoe chaos,Saddle-focus,Manifold,Homoclinic loop
论文评审过程：Available online 12 May 2004.
论文官网地址：https://doi.org/10.1016/j.amc.2004.04.004
