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.

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

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