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The random case of Conley's theorem: III. Random semiflow case and Morse decomposition
Zhenxin Liu
In the first part of this paper, we generalize the results of the author \cite{Liu,Liu2} from the random flow case to the random semiflow case, i.e. we obtain Conley decomposition…
Some Symmetric Orbits for N-body Type Difference Equations
Leshun Xu, Yong Li, Menglong Su
This paper introduces a new difference scheme to the difference equations for N-body type problems. To find the non-collision periodic solutions and generalized periodic solutions…
Symmetric orbits arising from Figure-Eight for N-body problem
Leshun Xu, Yong Li
In this paper, we first describe how we can arrange any bodies on Figure-Eight without collision in a dense subset of after showing that the self-intersections of Figure-Ei…
Persistence of Hyperbolic Tori in Generalized Hamiltonian Systems
Zhenxin Liu, Dalai Yihe, Qingdao Huang
In this paper we prove the persistence of hyperbolic invariant tori in generalized Hamiltonian systems, which may admit a distinct number of action and angle variables. The systems…