Symmetries and Singularity Structures (eBook, PDF)

Integrability and Chaos in Nonlinear Dynamical Systems
Redaktion: Lakshmanan, Muthuswamy; Daniel, Muthiah

• Format: PDF

Produktbeschreibung

Proceedings of the Workshop, Bharathidasan University, Tiruchirapalli, India, November 29 - December 2, 1989

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 208
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642760464
• Artikelnr.: 53332754

Inhaltsangabe

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.