most citedThe random case of Conley's theorem

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math.DS2005

Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems

Zhenxin Liu

Chow, Li and Yi in [2] proved that the majority of the unperturbed tori {\it on sub-manifolds} will persist for standard Hamiltonian systems. Motivated by their work, in this paper…

math.DS2005★ 19 cited

The random case of Conley's theorem

Zhenxin Liu

The well-known Conley's theorem states that the complement of chain recurrent set equals the union of all connecting orbits of the flow on the compact metric space , i.e. $X…