Abundance of Uenimodal Maps With Dense Critical Orbit and Prefixed Critical Orbit

Cao Yongluo; Wang Lanyu

Volume 21 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(4): 348-352

Cao Yongluo, Wang Lanyu. Abundance of Uenimodal Maps With Dense Critical Orbit and Prefixed Critical Orbit[J]. Applied Mathematics and Mechanics, 2000, 21(4): 348-352.

Citation:

Cao Yongluo, Wang Lanyu. Abundance of Uenimodal Maps With Dense Critical Orbit and Prefixed Critical Orbit[J]. Applied Mathematics and Mechanics, 2000, 21(4): 348-352.

Citation:

Cao Yongluo, Wang Lanyu. Abundance of Uenimodal Maps With Dense Critical Orbit and Prefixed Critical Orbit[J]. Applied Mathematics and Mechanics, 2000, 21(4): 348-352.

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Abundance of Uenimodal Maps With Dense Critical Orbit and Prefixed Critical Orbit

Cao Yongluo¹,
Wang Lanyu²

1.
Department of Mathematics, Suzhou University, Suzhou 215006, P R China;
2.
Institute of Mathematics, Academia Sinica, Beijing 100080, P R China

Received Date: 1998-11-20
Rev Recd Date: 1999-10-18
Publish Date: 2000-04-15

Abstract

Abstract

For the so-called quadratic family,it is proved that,there exists a positive Lebesgue measure set E in the parameter space such that the corresponding map has a dense critical orbit in the support set of the invariant measure for almost all parameters in E;it is also proved that there is a dense set in E such that the critical orbit of the corresponding map enter the reversed fixed point.
- unimodal map,
- quadratic family,
- invariant measure

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References(11)

References

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