[PDF.56hb] Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations (Memoirs of the American Mathematical Society)

Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations (Memoirs of the American Mathematical Society)

[PDF.mf19] Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations (Memoirs of the American Mathematical Society)

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 | #11536806 in Books |  1994-01 | Original language:English |  10.04 x.43 x6.97l,.81 | File type: PDF | 191 pages

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This work presents a study of the foliations of the energy levels of a class of integrable Hamiltonian systems by the sets of constant energy and angular momentum. This includes a classification of the topological bifurcations and a dynamical characterization of the critical leaves (separatrix surfaces) of the foliation. Llibre and Nunes then consider Hamiltonian perturbations of this class of integrable Hamiltonians and give conditions for the persistence of the separat...

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