Symmetries and Singularity Structures
Integrability and Chaos in Nonlinear Dynamical Systems
Published on 16. January 1991
Book
Paperback/Softback
VIII, 208 pages
978-3-540-53092-3 (ISBN)
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 and senior researchers in physics and mathematics working in the field of nonlinear dynamics.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1990
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
4 s/w Abbildungen
VIII, 208 p. 4 illus.
Dimensions
Height: 242 mm
Width: 170 mm
Thickness: 13 mm
Weight
392 gr
ISBN-13
978-3-540-53092-3 (9783540530923)
DOI
10.1007/978-3-642-76046-4
Schweitzer Classification
Other editions
Additional editions
Muthuswamy Lakshmanan | Muthiah Daniel
Symmetries and Singularity Structures
Integrability and Chaos in Nonlinear Dynamical Systems
E-Book
12/2012
Springer
€96.29
Available for download
Content
I Symmetry Aspects.- Symmetries, Singularities and Exact Solutions for Nonlinear Systems.- Application of Isovector Approach for the Solutions of Differential Equations of Physical Systems.- Master Symmetries of Certain Nonlinear Partial Differential Equations.- Symmetries and Constants of Motion of Integrable Systems.- Lie Algebra, Bi-Hamiltonian Structure and Reduction Problem for Integrable Nonlinear Systems.- On the Role of Virasoro, Kac-Moody Algebra and Conformal Invariance in Soliton Hierarchies.- Generalised Lie Symmetries and Integrability of Coupled Nonlinear Oscillators with Two Degrees of Freedom.- Aspects of Symmetries of Dissipative Systems.- II Singularity Structure Aspects.- Painlevé Property in Hamiltonian and Non-Hamiltonian Systems.- Singularity Structure and Chaotic Dynamics of the Parametrically Driven Duffing Oscillator.- A Singularity Analysis Approach to the Solutions of Duffing's Equation.- III Integrability and Chaos: Quantum and Classical.- Avoided Level Crossing, Solitons and Random Matrix Theory.- Random Matrices and Quantum Chaos: Effects of Symmetry-Breaking on Spectral Correlations.- Quantum Groups.- Integrable Quantum Spin Chains and Some Problems Related to Integrable Systems.- On the Quantum Inverse Problem for a New Type of Nonlinear Schrödinger Equation for Alfven Waves in Plasma.- Nonlinear Chemical Dynamics.- Dynamics of Solitons on 4He Films.- Studies on a Josephson Junction with Nonlinear Resistance.- Index of Contributors.