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 / edited by A.W. Sáenz, W.W. Zachary, and R. Cawley.

Contributor(s): Sáenz, Albert William, 1923-2012 | Zachary, W. W, 1935- | Cawley, R. (Robert), 1936- | Naval Surface Weapons Center
Material type: TextTextSeries: Lecture notes in physics: 252.Publisher: Berlin ; New York : Springer-Verlag, ©1986Description: 1 online resource (v, 263 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540398240; 3540398244Subject(s): Dynamics -- Congresses | Nonlinear theories -- Congresses | Hamiltonian systems -- Congresses | Global analysis (Mathematics) -- Congresses | Mathematical physics -- Congresses | Dynamique -- Congrès | Théories non linéaires -- Congrès | Systèmes hamiltoniens -- Congrès | Analyse globale (Mathématiques) -- Congrès | Physique mathématique -- Congrès | Dynamics | Global analysis (Mathematics) | Hamiltonian systems | Mathematical physics | Nonlinear theories | Globale Analysis | Nichtlineare Dynamik | Silver Spring <Md., 1984>Genre/Form: Electronic books. | Conference papers and proceedings. | Kongress. Additional physical formats: Print version:: Local and global methods of nonlinear dynamics.DDC classification: 531/.11 LOC classification: QC133 | .L63 1986Other classification: UD 8220 Online resources: Click here to access online
Contents:
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.
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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.

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