Symmetries and Singularity Structures : Integrability and Chaos in Nonlinear Dynamical Systems Proceedings of the Workshop, Bharathidasan University, Tiruchirapalli, India, November 29-December 2, 1989 /
These lectures deal with background and latest developments in symmetries, singularity structures (Painlev 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 mathemat...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
1990.
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| Series: | Research reports in physics.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | These lectures deal with background and latest developments in symmetries, singularity structures (Painlev 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-Bcklund 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (VIII, 208 pages 23 illustrations) |
| ISBN: | 9783642760464 (electronic bk.) 3642760465 (electronic bk.) |