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Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems - Softcover

 
9783642760471: Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems

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Synopsis

These lectures deal with background and latest developments in symmetries, singularity structures (Painleve analysis) and their relation to integrability and chaos in classical and quantum nonlinear dynamical systems. The book is useful to both newcomers and senior researchers in physics and mathematics working in the field of nonlinear dynamics. Starting from simple Lie symmetries the role of generalized Lie and Lie-Backlund symmetries and the underlying algebras associated with a wide spectrum of nonlinear systems are studied. Some keywords are: Master symmetries, dynamical symmetries, Kac-Moody and Virasoro algebras, quantum groups, integrable quantum spin chains, bi-Hamiltonian structure of integrable systems and singularity structure analysis of Hamiltonian and non-Hamiltonian systems, the connection between symmetry, solitons, quantum chaos and random matrix theory, applications of solitons in plasmas, 4He films, Josephson junctions and in chemical compounds.

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Other Popular Editions of the Same Title

9783540530923: Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems (Research Reports in Physics)

Featured Edition

ISBN 10:  3540530924 ISBN 13:  9783540530923
Publisher: Springer, 1991
Softcover