Local and Global Methods of Nonlinear Dynamics
Local and Global Methods of Nonlinear Dynamics Proceedings of a Workshop Held at the Naval Surface Weapons Center Silver Spring, MD, July 23–26, 1984 / [electronic resource] :
edited by A. W. Sáenz, W. W. Zachary, R. Cawley.
- VII, 263 p. online resource.
- Lecture Notes in Physics, 252 0075-8450 ; .
- Lecture Notes in Physics, 252 .
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.
9783540398240
10.1007/BFb0018323 doi
Mathematical physics.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
QC5.53
530.15
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.
9783540398240
10.1007/BFb0018323 doi
Mathematical physics.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
QC5.53
530.15