The transversal homoclinic points are dense in the codimension-$1$ Hénon-like strange attractors
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- by Yongluo Cao PDF
- Proc. Amer. Math. Soc. 127 (1999), 1877-1883 Request permission
Abstract:
We consider the codimension-1 Hénon-like strange attractors $\Lambda$. We prove that the transversal homoclinic points are dense in $\Lambda$, and that hyperbolic periodic points are dense in $\Lambda$. Moreover the hyperbolic periodic points that are heteroclinically related to the primary fixed point ( transversal intersection of stable and unstable manifolds) are dense in $\Lambda$.References
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Additional Information
- Yongluo Cao
- Affiliation: Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, People’s Republic of China
- MR Author ID: 343275
- Email: ylcao@nsad.suda.edu.cn
- Received by editor(s): January 9, 1997
- Received by editor(s) in revised form: September 30, 1997
- Published electronically: February 18, 1999
- Additional Notes: The author was partially supported by IMPA, TWAS and NSF of China and Jiangsu and “Nonlinear Science" Basic Project
- Communicated by: Mary Rees
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1877-1883
- MSC (1991): Primary 58F11, 58F12
- DOI: https://doi.org/10.1090/S0002-9939-99-04787-5
- MathSciNet review: 1487360