Rigorous Numerical Studies of the Existence of Periodic Orbits for the Hénon Map

@article{Galias1998RigorousNS,
  title={Rigorous Numerical Studies of the Existence of Periodic Orbits for the H{\'e}non Map},
  author={Zbigniew Galias},
  journal={J. UCS},
  year={1998},
  volume={4},
  pages={114-124}
}
In this paper we perform a rigorous study of the H enon map. We prove with computer assistance the existence of symbolic dynamics for h and h and the existence of periodic orbits of all periods but 3 and 5. 

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