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Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems (Research Reports in Physics) - Softcover
Synopsis
These lectures deal with background and latest developments in symmetries, singularity structures (Painleve analysis) and their reaction to integrability and chaos in classical and quantum nonlinear dynamical systems. The book should be 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, solutions quantum chaos and random matrix theory, applications of solitons in plasmas, 4HE films, Josephson junctions and in chemical compounds.
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Product Description
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
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- PublisherSpringer
- Publication date1991
- ISBN 10 3540530924
- ISBN 13 9783540530923
- BindingPaperback
- LanguageEnglish
- Number of pages216
- EditorLakshmanan Muthuswamy, Daniel Muthiah
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Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems (Research Reports in Physics)
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Condition: Good. *FREE domestic shipping until Tuesday, May 20* 208 pp., softcover, some library markings, but textually clean with a solid binding. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1177592
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Symmetries and Singularity Structures. Integrability and Chaos in Nonlinear Dynamical Systems.
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04437 3540530924 Sprache: Englisch Gewicht in Gramm: 550 Softcover reprint of the original 1st ed. 1990. Seller Inventory # 2490672
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Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems (Research Reports in Physics) [Paperback] Lakshmanan, Muthuswamy and Daniel, Muthiah
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Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems (Research Reports in Physics)
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Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical Systems (Research Reports in Physics)
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Symmetries and Singularity Structures
Published by
Springer Berlin Heidelberg Jan 1991, 1991
ISBN 10: 3540530924
ISBN 13: 9783540530923
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Taschenbuch
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Symmetries and singularity structures play important roles in the study of nonlinear dynamical systems. It was Sophus Lie who originally stressed the importance of symmetries and invariance in the study of nonlinear differential equations. How ever, the full potentialities of symmetries had been realized only after the advent of solitons in 1965. It is now a well-accepted fact that associated with the infinite number of integrals of motion of a given soliton system, an infinite number of gep. eralized Lie BAcklund symmetries exist. The associated bi-Hamiltonian struc ture, Kac-Moody, Vrrasoro algebras, and so on, have been increasingly attracting the attention of scientists working in this area. Similarly, in recent times the role of symmetries in analyzing both the classical and quantum integrable and nonintegrable finite dimensional systems has been remarkable. On the other hand, the works of Fuchs, Kovalevskaya, Painleve and coworkers on the singularity structures associated with the solutions of nonlinear differen tial equations have helped to classify first and second order nonlinear ordinary differential equations. The recent work of Ablowitz, Ramani and Segur, con jecturing a connection between soliton systems and Painleve equations that are free from movable critical points, has motivated considerably the search for the connection between integrable dynamical systems with finite degrees of freedom and the Painleve property. Weiss, Tabor and Carnevale have extended these ideas to partial differential equations. 224 pp. Englisch. Seller Inventory # 9783540530923
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Symmetries and Singularity Structures : Integrability and Chaos in Nonlinear Dynamical Systems
Published by
Springer Berlin Heidelberg, 1991
ISBN 10: 3540530924
ISBN 13: 9783540530923
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Symmetries and singularity structures play important roles in the study of nonlinear dynamical systems. It was Sophus Lie who originally stressed the importance of symmetries and invariance in the study of nonlinear differential equations. How ever, the full potentialities of symmetries had been realized only after the advent of solitons in 1965. It is now a well-accepted fact that associated with the infinite number of integrals of motion of a given soliton system, an infinite number of gep. eralized Lie BAcklund symmetries exist. The associated bi-Hamiltonian struc ture, Kac-Moody, Vrrasoro algebras, and so on, have been increasingly attracting the attention of scientists working in this area. Similarly, in recent times the role of symmetries in analyzing both the classical and quantum integrable and nonintegrable finite dimensional systems has been remarkable. On the other hand, the works of Fuchs, Kovalevskaya, Painleve and coworkers on the singularity structures associated with the solutions of nonlinear differen tial equations have helped to classify first and second order nonlinear ordinary differential equations. The recent work of Ablowitz, Ramani and Segur, con jecturing a connection between soliton systems and Painleve equations that are free from movable critical points, has motivated considerably the search for the connection between integrable dynamical systems with finite degrees of freedom and the Painleve property. Weiss, Tabor and Carnevale have extended these ideas to partial differential equations. Seller Inventory # 9783540530923
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Symmetries and Singularity Structures
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ISBN 10: 3540530924
ISBN 13: 9783540530923
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