A Geometric Setting for Hamiltonian Perturbation Theory is popular PDF and ePub book, written by Anthony D. Blaom in 2014-09-11, it is a fantastic choice for those who relish reading online the Hamiltonian systems genre. Let's immerse ourselves in this engaging Hamiltonian systems book by exploring the summary and details provided below. Remember, A Geometric Setting for Hamiltonian Perturbation Theory can be Read Online from any device for your convenience.
A Geometric Setting for Hamiltonian Perturbation Theory Book PDF Summary
Introduction Part 1. Dynamics: Lie-Theoretic preliminaries Action-group coordinates On the existence of action-group coordinates Naive averaging An abstract formulation of Nekhoroshev's theorem Applying the abstract Nekhoroshev's theorem to action-group coordinates Nekhoroshev-type estimates for momentum maps Part 2. Geometry: On Hamiltonian $G$-spaces with regular momenta Action-group coordinates as a symplectic cross-section Constructing action-group coordinates The axisymmetric Euler-Poinsot rigid body Passing from dynamic integrability to geometric integrability Concluding remarks Appendix A. Proof of the Nekhoroshev-Lochak theorem Appendix B. Proof the ${\mathcal W}$ is a slice Appendix C. Proof of the extension lemma Appendix D. An application of converting dynamic integrability into geometric integrability: The Euler-Poinsot rigid body revisited Appendix E. Dual pairs, leaf correspondence, and symplectic reduction Bibliography.
Detail Book of A Geometric Setting for Hamiltonian Perturbation Theory PDF
- Author : Anthony D. Blaom
- Release : 11 September 2014
- Publisher : Unknown
- ISBN : 147040320X
- Genre : Hamiltonian systems
- Total Page : 112 pages
- Language : English
- PDF File Size : 7,9 Mb
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