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

Lakshmanan, Muthuswamy (Editor) / Daniel, Muthiah (Editor)

ISBN 10: 3540530924 / ISBN 13: 9783540530923

Editore: Springer, 1991

Riguardo questo articolo

1st edition. 216 pages. 9.53x6.69x0.50 inches. In Stock. Codice articolo x-3540530924

Dati bibliografici

Titolo: Symmetries and Singularity Structures: ...

Casa editrice: Springer

Data di pubblicazione: 1991

Legatura: Paperback

Condizione: Brand New

Descrizione articolo

Riassunto:

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

Contenuti:

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.