学术信息

Exact Solutions in the Invariant Manifolds of the Generalized Integrable Henon-Heiles system

主讲人简介:Zhejiang Normal University Distinguished Professor, National Important Contribution Expert.

内容摘要:What is the flow in the center manifold and homoclinc manifold? We consider famous generalized Henon-Heiles(H-H) system. For the three integrable cases, on the basis of the investigation of the dynamical behavior and level curves of the planar dynamical systems, we find all possible explicit exact parametric representations of solutions in the invariant manifolds of the four dimensional phase space. These solutions contain quasi-periodic solutions, homoclinic solutions, periodic solutions as well as blow-up solutions.

讲座语言:英语

 

李美丽

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