Abstract.
The C 1 density conjecture of Palis asserts that diffeomorphisms exhibiting either a homoclinic tangency or a heterodimensional cycle are C 1 dense in the complement of the C 1 closure of hyperbolic systems. In this paper we prove some results towards the conjecture.
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* Work supported by the National Natural Science Foundation and the Doctoral Education Foundation of China, and the Qiu Shi Science and Technology Foundation of Hong Kong.
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Wen*, L. Generic diffeomorphisms away from homoclinic tangencies and heterodimensional cycles. Bull Braz Math Soc, New Series 35, 419–452 (2004). https://doi.org/10.1007/s00574-004-0023-x
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DOI: https://doi.org/10.1007/s00574-004-0023-x
Keywords:
- hyperbolic diffeomorphism
- homoclinic tangency
- heterodimensional cycle
- generic property
- dominated splitting