Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SYMPLECTIC DIFFEOMORPHISMS WITH ORBITAL SHADOWING

  • Lee, Keonhee (Department of Mathematics Chungnam University) ;
  • Lee, Manseob (Department of Mathematics Mokwon University)
  • Published : 2012.11.15
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Abstract

We show that if a symplectic diffeomorphism has the $C^1$-robustly orbital shadowing property, then the diffeomorphism is Anosov.

Keywords

References

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Cited by

  1. Orbital shadowing property for generic divergence-free vector fields vol.54, 2013, https://doi.org/10.1016/j.chaos.2013.05.013
  2. Symplectic diffeomorphisms with limit shadowing vol.10, pp.02, 2017, https://doi.org/10.1142/S1793557117500681
  3. Divergence-free vector fields with orbital shadowing vol.2013, pp.1, 2013, https://doi.org/10.1186/1687-1847-2013-132
  4. Hamiltonian systems with orbital, orbital inverse shadowing vol.2014, pp.1, 2014, https://doi.org/10.1186/1687-1847-2014-192