Orbital Shadowing for C 1 -Generic Volume-Preserving Diffeomorphisms

Manseob Lee

doi:10.1155/2013/693032

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Article

2013 Orbital Shadowing for

{C}^{1}

-Generic Volume-Preserving Diffeomorphisms

Manseob Lee

Abstr. Appl. Anal. 2013: 1-4 (2013). DOI: 10.1155/2013/693032

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Abstract

We show that ${C}^{1}$ -generically, if a volume-preserving diffeomorphism has the orbital shadowing property, then the diffeomorphism is Anosov.

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Manseob Lee. "Orbital Shadowing for ${C}^{1}$ -Generic Volume-Preserving Diffeomorphisms." Abstr. Appl. Anal. 2013 1 - 4, 2013. https://doi.org/10.1155/2013/693032