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Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations (Memoirs of the American Mathematical Society) - Softcover
Synopsis
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 separatrix structure of the foliations and for the existence of transversal ejection-collision orbits of the perturbed system. Finally, they consider a class of non-Hamiltonian perturbations of a family of integrable systems of the type studied earlier and prove the persistence of "almost all" the tori and cylinders that foliate the energy levels of the unperturbed system as a consequence of KAM theory.
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- PublisherAmer Mathematical Society
- Publication date1994
- ISBN 10 082182581X
- ISBN 13 9780821825815
- BindingPaperback
- LanguageEnglish
- Number of pages191
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Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations
Published by
Amer Mathematical Society, 1994
ISBN 10: 082182581X
ISBN 13: 9780821825815
Used
Paperback
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Paperback. Condition: Very Good. Text clean and solid; Memoirs of the American Mathematical Society Number 513; 9.92 X 6.77 X 0.47 inches; 191 pages. Seller Inventory # 208611
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Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations. Memoirs of the American Mathematical Society; Bd. 513.
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Providence, American Math. Soc, 1994
ISBN 10: 082182581X
ISBN 13: 9780821825815
Used
Softcover
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03223 9780821825815 Sprache: Englisch Gewicht in Gramm: 150. Seller Inventory # 2489127
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Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations (Memoirs of the American Mathematical Society).
Published by
American Mathematical Society, 1994
ISBN 10: 082182581X
ISBN 13: 9780821825815
Used
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kartoniert. Condition: Sehr gut. Zust: Gutes Exemplar. 191 Seiten Englisch 364g. Seller Inventory # 482299
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Separatrix Surfaces and Invariant Manifolds of a Class of Integrable Hamiltonian Systems and Their Perturbations (Memoirs of the American Mathematical Society)
Published by
Amer Mathematical Society, 1994
ISBN 10: 082182581X
ISBN 13: 9780821825815
Used
paperback
Seller: dsmbooks, Liverpool, United Kingdom
Seller rating 4 out of 5 stars
paperback. Condition: Very Good. Very Good. book. Seller Inventory # D8S0-3-M-082182581X-4
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