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The transversal homoclinic point of a saddle-node implies horseshoe

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Abstract

A method of identifying the existence of horseshoe for a two-dimension diffeomorphism is introduced and utilized to generalize the Birkhoff-Smale Theorem to the saddle-node case.

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References

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Authors and Affiliations

  1. Department of Mathematics, Peking University, 100871, Beijing, China

    Li Weigu

Authors
  1. Li Weigu
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19531070).

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Li, W. The transversal homoclinic point of a saddle-node implies horseshoe. Sci. China Ser. A-Math. 42, 699–703 (1999). https://doi.org/10.1007/BF02878988

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  • DOI: https://doi.org/10.1007/BF02878988

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