Local and Global Methods of Nonlinear Dynamics
Springer Berlin (Hersteller)
978-3-540-39824-0 (ISBN)
Global aspects of periodic solutions of nonlinear conservative system.- Lecture 1: On resonant hamiltonian systems with finitely many degrees of freedom..- Lecture 2: Realizations of the reduced phase space of a hamiltonian system with symmetry.- KAM Today.- Note on the evolution of the Lie-Deprit transform.- Lie transforms: A perspective.- The covariant lie-transformed plasma action principle.- Geometric Hamiltonian structures and perturbation theory.- Lie point transformation group solutions of the nonlinear Vlasov-Maxwell equations.- A constructive solution to the Hamilton-Jacobi equation.- Local and global aspects of a generalized Hamiltonian theory.- Particle channeling in crystals and the method of averaging.- Rigorous stability results on crystal channeling via canonical maps.- Some considerations for a theory of approximate invariants.- Exact invariants in the form of momentum resonances for particle motion in one-dimensional, time-dependent potentials.
| Erscheint lt. Verlag | 1.12.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | VII, 263 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik |
| Schlagworte | degrees of freedom • Dynamics • Evolution • hamiltonian • Invariant • Maxwell's equations • Momentum • Nonlinear Dynamics • perturbation theory • Potential • Silver • Solution • stability • symmetry • System |
| ISBN-10 | 3-540-39824-4 / 3540398244 |
| ISBN-13 | 978-3-540-39824-0 / 9783540398240 |
| Zustand | Neuware |
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