Hamiltonian Mechanics: Integrability and Chaotic Behavior

Hardcover | December 31, 1994

EditorJohn Seimenis

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Presents papers from the first scientific conference in Eastern Europe supported by NATO. Topics include chaos theory, periodic solutions of nonlinear Schrodinger equations and the Nash-Moser method, adiabatic invariants, exponentially small splitting in Hamiltonian systems, and the dynamics of trace maps. Annotation c. by Book News, Inc., Portland, Or.

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Presents papers from the first scientific conference in Eastern Europe supported by NATO. Topics include chaos theory, periodic solutions of nonlinear Schrodinger equations and the Nash-Moser method, adiabatic invariants, exponentially small splitting in Hamiltonian systems, and the dynamics of trace maps. Annotation c. by Book News, I...

Format:HardcoverDimensions:432 pages, 10 × 7.01 × 0.27 inPublished:December 31, 1994Publisher:Springer US

The following ISBNs are associated with this title:

ISBN - 10:0306448084

ISBN - 13:9780306448089

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Table of Contents

Nonintegrability Criterion of Hamiltonian Systems Based on Ziglin's Theorem and Its Relation to the Singular Point Analysis; H. Yoshida. Averaging under Fast Quasiperiodic Forcing; C. Simo. Natural Boundaries of Normalizing Transformations; L. Billi, et al. Singular Perturbation in Hamiltonian Mechanics; A.D. Bruno. The Structure of Chaos; G. Contopoulos. From Integrability to Chaos: Examples of Interrelations between Physics and Dynamics for Minor Bodies in the Solar System; C. Froeschle, et al. Successive Elimination of Harmonics: A Way to Explore the Resonant Structure of a Hamiltonian System; A. Morbidelli. Periodic Solutions of Nonlinear Schrodinger Equations and the Nash-Moser Method; W. Craig, C.E. Wayne. On the Tendency toward Ergodicity with Increasing Number of Degrees of Freedom in Hamiltonian Systems; L. Hurd, et al. Gibbsian Check of the Validity of Gibbsian Calculation through Dynamical Observables; D.F. Escande, et al. Numerical Integration of Hamiltonian Systems in the Presence of Additional Integrals: Applications of the Observer Method; A.J. Maciejewski, J.M. Strelcyn. Symmetries and Topology of Dynamical Systems with Two Degrees of Freedom; V.V. Kozlov. 33 additional articles. Index.