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Exact Solutions in the Invariant Manifolds of the Generalized Integrable Henon-Heiles system
李继彬教授(浙江师范大学,昆明理工大学)
2018-01-01 12:13  华东师范大学

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.