Blaom, Anthony D., 1968-
A geometric setting for Hamiltonian perturbation theory / [electronic resource] Anthony D. Blaom. - Providence, R.I. : American Mathematical Society, c2001. - 1 online resource (xviii, 112 p. : ill.) - Memoirs of the American Mathematical Society, v. 727 0065-9266 (print); 1947-6221 (online); .
"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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470403201 (online)
Perturbation (Mathematics)
Hamiltonian systems.
QA3 QA871 / .A57 no. 727
510 s 515/.35
A geometric setting for Hamiltonian perturbation theory / [electronic resource] Anthony D. Blaom. - Providence, R.I. : American Mathematical Society, c2001. - 1 online resource (xviii, 112 p. : ill.) - Memoirs of the American Mathematical Society, v. 727 0065-9266 (print); 1947-6221 (online); .
"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
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9781470403201 (online)
Perturbation (Mathematics)
Hamiltonian systems.
QA3 QA871 / .A57 no. 727
510 s 515/.35