Integrable Hamiltonian systems with positive topological entropy
Integrable Hamiltonian systems with positive topological entropy
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DOI：
10.1016/j.bulsci.2008.12.001
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发表时间：
2009-12
影响因子：
1.3
通讯作者：
Fei Liu;Cheng Chen;Xiang Zhang
中科院分区：
文献类型：
--
作者：
Fei Liu;Cheng Chen;Xiang Zhang
本文给出了三维黎曼流形上的一类可积哈密顿系统，其流在几乎所有紧致能量表面上都具有正拓扑熵。据我们所知，这些是具有正拓扑熵的黎曼流形上具有势能的C∞刘维可积哈密顿流的第一个例子。
In this paper we provide a class of integrable Hamiltonian systems on a three-dimensional Riemannian manifold whose flows have a positive topological entropy on almost all compact energy surfaces. As our knowledge, these are the first examples of C∞Liouvillian integrable Hamiltonian flows with potential energy on a Riemannian manifold which has a positive topological entropy.