Hamiltonian systems with orbital, orbital inverse shadowing

Advances in Difference Equations

Manseob Lee¹ 

[1] Department of Mathematics, Mokwon University, Daejeon, Korea

关键词: Hamiltonian systems;    Hamiltonian star systems;    shadowing;    orbital shadowing;    inverse shadowing;    orbital inverse shadowing;    Anosov;   

DOI  :  10.1186/1687-1847-2014-192

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We show that if a Hamiltonian system has the robustly orbitally shadowing property, then it is Anosov. Moreover, if a Hamiltonian system has the robustly orbitally inverse shadowing property with respect to the class of continuous methods, then it is Anosov. MSC:37C10, 37C50, 37D20.

【 授权许可】

CC BY