A geometric setting for Hamiltonian perturbation theory / [electronic resource] Anthony D. Blaom.
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TextSeries: Memoirs of the American Mathematical Society ; v. 727Publication details: Providence, R.I. : American Mathematical Society, c2001Description: 1 online resource (xviii, 112 p. : ill.)ISBN: 9781470403201 (online)Subject(s): Perturbation (Mathematics) | Hamiltonian systemsAdditional physical formats: geometric setting for Hamiltonian perturbation theory /DDC classification: 510 s | 515/.35 LOC classification: QA3 | .A57 no. 727 | QA871Online resources: Contents | Contents 
E-BOOKS
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|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK13180 |
"September 2001, volume 153, number 727 (third of 5 numbers)."
Includes bibliographical references (p. 110-112).
Introduction Part 1. Dynamics 1. Lie-theoretic preliminaries 2. Action-group coordinates 3. On the existence of action-group coordinates 4. Naive averaging 5. An abstract formulation of Nekhoroshev's theorem 6. Applying the abstract Nekhoroshev theorem to action-group coordinates 7. Nekhoroshev-type estimates for momentum maps Part 2. Geometry 8. On Hamiltonian $G$-spaces with regular momenta 9. Action-group coordinates as a symplectic cross-section 10. Constructing action-group coordinates 11. The axisymmetric Euler-Poinsot rigid body 12. Passing from dynamic integrability to geometric integrability 13. Concluding remarks
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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