ScholarWorks@성균관대학교

초록

In this paper, we study the stability of dynamical systems with weak measure expansivity on a symplectic manifold M, for robustly and generic point of view. More precisely, we show that if a symplectic diffeomorphism f of M is C-1-robustly weak measure expansive, then it is Anosov. And we prove that a C-1-generic weak measure expansive diffeomorphism f is an element of Diff(omega)(M) is mixing Anosov. Furthermore, we extend these results to Hamiltonian systems. We show that if a Hamiltonian system is C-2-robustly weak measure expansive then it is Anosov, and also, if the C-2-generic Hamiltonian system is weak measure expansive then it is Anosov.

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