On homoclinic points

Newhouse, S.

doi:10.1090/S0002-9939-1976-0418169-8

On homoclinic points
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by S. Newhouse

Proc. Amer. Math. Soc. 60 (1976), 221-224

DOI: https://doi.org/10.1090/S0002-9939-1976-0418169-8

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Abstract:

Results of R. C. Robinson and D. Pixton on the existence of homoclinic points for diffeomorphisms on the two-sphere are extended. An application to area preserving diffeomorphisms on surfaces is given.

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