Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems by Muthuswamy LakshmananSymmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems by Muthuswamy Lakshmanan

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

EditorMuthuswamy Lakshmanan, Muthiah Daniel

Paperback | January 16, 1991

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These lectures deal with background and latest developments in symmetries, singularity structures (Painlevé 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-Bäcklund 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.
Title:Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical SystemsFormat:PaperbackDimensions:216 pagesPublished:January 16, 1991Publisher:Springer Berlin HeidelbergLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540530924

ISBN - 13:9783540530923

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