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Author: Dario Bambusi Publisher: World Scientific ISBN: 9814489727 Category : Science Languages : en Pages : 260
Book Description
The third conference on “Symmetry and Perturbation Theory” (SPT2001) was attended by over 50 mathematicians, physicists and chemists. The proceedings present the advancement of research in this field — more precisely, in the different fields at whose crossroads symmetry and perturbation theory sit.
Author: Dario Bambusi Publisher: World Scientific ISBN: 9814489727 Category : Science Languages : en Pages : 260
Book Description
The third conference on “Symmetry and Perturbation Theory” (SPT2001) was attended by over 50 mathematicians, physicists and chemists. The proceedings present the advancement of research in this field — more precisely, in the different fields at whose crossroads symmetry and perturbation theory sit.
Author: Dario Bambusi Publisher: World Scientific ISBN: 9812794549 Category : Science Languages : en Pages : 260
Book Description
The third conference on ?Symmetry and Perturbation Theory? (SPT2001) was attended by over 50 mathematicians, physicists and chemists. The proceedings present the advancement of research in this field ? more precisely, in the different fields at whose crossroads symmetry and perturbation theory sit.
Author: Simonetta Abenda Publisher: World Scientific ISBN: 9814486949 Category : Science Languages : en Pages : 308
Book Description
This is the fourth conference on “Supersymmetry and Perturbation Theory” (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc. Contents:An Outline of the Geometrical Theory of the Separation of Variables in the Hamilton-Jacobi and Schrödinger Equations (S Benenti)Partial Symmetries and Symmetric Sets of Solutions to PDE's (G Cicogna)On the Algebro-Geometric Solution of 3 x 3 Matrix Riemann-Hilbert Problem (V Enolski & T Grava)Bifurcations in Flow-Induced Vibration (S Fatimah & F Verhulst)Steklov-Lyapunov Type Systems (Yu N Fedorov)Renormalization Group and Summation of Divergent Series for Hyperbolic Invariant Tori (G Gentile)On the Linearization of Holomorphic Vector Fields in the Siegel Domain with Linear Parts Having Nontrivial Jordan Blocks (T Gramchev)Smooth Normalization of a Vector Field Near an Invariant Manifold (A Kopanskii)Inverse Problems for SL(2) Lattices (V B Kuznetsov)Some Remarks about the Geometry of Hamiltonian Conservation Laws (J-P Ortega)Janet's Algorithm (W Plesken)Some Integrable Billiards (E Previato)Symmetries of Relative Equilibria for Simple Mechanical Systems (M Rodríguez-Olmos & M E Sousa Dias)A Spectral Sequences Approach to Normal Forms (J A Sanders)Rational Parametrization of Strata in Orbit Spaces of Compact Linear Groups (G Sartori & G Valente)Effective Hamiltonians and Perturbation Theory for Quantum Bound States of Nuclear Motion in Molecules (V G Tyuterev)Generalized Hasimoto Transformation and Vector Sine-Gordon Equation (J P Wang)and other papers Readership: Researchers and graduate students in mathematical and theoretical physics, and nonlinear science. Keywords:Symmetry;Integrability;Perturbation Theory;Vector Fields;Normalization
Author: Giuseppe Gaeta Publisher: World Scientific ISBN: 9814481114 Category : Science Languages : en Pages : 344
Book Description
This proceedings volume is a collection of papers presented at the International Conference on SPT2004 focusing on symmetry, perturbation theory, and integrability. The book provides an updated overview of the recent developments in the various different fields of nonlinear dynamics, covering both theory and applications. Special emphasis is given to algebraic and geometric integrability, solutions to the N-body problem of the “choreography” type, geometry and symmetry of dynamical systems, integrable evolution equations, various different perturbation theories, and bifurcation analysis. The contributors to this volume include some of the leading scientists in the field, among them: I Anderson, D Bambusi, S Benenti, S Bolotin, M Fels, W Y Hsiang, V Matveev, A V Mikhailov, P J Olver, G Pucacco, G Sartori, M A Teixeira, S Terracini, F Verhulst and I Yehorchenko. Contents:Parametric Excitation in Nonlinear Dynamics (T Bakri)Similarity Reductions of an Optical Model (M S Bruzón & M L Gandarias)A Regularity Theory for Optimal Partition Problems (M Conti et al.)Periodic Solutions for Zero Mass Nonlinear Wave Equations (G Gentile)Renormalization Group Symmetry and Gas Dynamics (S Murata)Refined Computation of Hypernormal Forms (J Murdock)Regularity of Pseudogroup Orbits (P J Olver & J Pohjanpelto)On Birkhoff Method for Integrable Lagrangian Systems (G Pucacco)and other papers Readership: Researchers and academics. Keywords:Nonlinear Dynamics;Perturbation;Symmetry;Mathematical Physics;Integrable Systems;Dynamical Systems;Geometry;Classical MechanicsKey Features:In-depth treatment of recent advances in “choreography” solutions to the N-body problem in classical mechanicsAccount of recent advances in the geometric theory of separable and superintegrable systemsA geometric approach to symmetry of differential equations
Author: Giuseppe Gaeta Publisher: World Scientific ISBN: 9812776176 Category : Mathematics Languages : en Pages : 311
Book Description
This proceedings volume is devoted to the interplay of symmetry and perturbation theory, as well as to cognate fields such as integrable systems, normal forms, n-body dynamics and choreographies, geometry and symmetry of differential equations, and finite and infinite dimensional dynamical systems. The papers collected here provide an up-to-date overview of the research in the field, and have many leading scientists in the field among their authors, including: D Alekseevsky, S Benenti, H Broer, A Degasperis, M E Fels, T Gramchev, H Hanssmann, J Krashil''shchik, B Kruglikov, D Krupka, O Krupkova, S Lombardo, P Morando, O Morozov, N N Nekhoroshev, F Oliveri, P J Olver, J A Sanders, M A Teixeira, S Terracini, F Verhulst, P Winternitz, B Zhilinskii. Sample Chapter(s). Foreword (101 KB). Chapter 1: Homogeneous Bi-Lagrangian Manifolds and Invariant Monge-Ampere Equations (415 KB). Contents: On Darboux Integrability (I M Anderson et al.); Computing Curvature without Christoffel Symbols (S Benenti); Natural Variational Principles (D Krupka); Fuzzy Fractional Monodromy (N N Nekhoroshev); Emergence of Slow Manifolds in Nonlinear Wave Equations (F Verhulst); Complete Symmetry Groups and Lie Remarkability (K Andriopoulos); Geodesically Equivalent Flat Bi-Cofactor Systems (K Marciniak); On the Dihedral N-Body Problem (A Portaluri); Towards Global Classifications: A Diophantine Approach (P van der Kamp); and other papers. Readership: Researchers and students (graduate/advanced undergraduates) in mathematics, applied mathematics, physics and nonlinear science.
Author: Giuseppe Gaeta Publisher: Springer Nature ISBN: 1071626213 Category : Science Languages : en Pages : 601
Book Description
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.
Author: Simonetta Abenda Publisher: World Scientific ISBN: 9812795405 Category : Mathematics Languages : en Pages : 306
Book Description
This is the fourth conference on OC Supersymmetry and Perturbation TheoryOCO (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc. Contents: An Outline of the Geometrical Theory of the Separation of Variables in the Hamilton-Jacobi and SchrAdinger Equations (S Benenti); Partial Symmetries and Symmetric Sets of Solutions to PDE's (G Cicogna); On the Algebro-Geometric Solution of 3 x 3 Matrix Riemann-Hilbert Problem (V Enolski & T Grava); Bifurcations in Flow-Induced Vibration (S Fatimah & F Verhulst); Steklov-Lyapunov Type Systems (Yu N Fedorov); Renormalization Group and Summation of Divergent Series for Hyperbolic Invariant Tori (G Gentile); On the Linearization of Holomorphic Vector Fields in the Siegel Domain with Linear Parts Having Nontrivial Jordan Blocks (T Gramchev); Smooth Normalization of a Vector Field Near an Invariant Manifold (A Kopanskii); Inverse Problems for SL (2) Lattices (V B Kuznetsov); Some Remarks about the Geometry of Hamiltonian Conservation Laws (J-P Ortega); Janet's Algorithm (W Plesken); Some Integrable Billiards (E Previato); Symmetries of Relative Equilibria for Simple Mechanical Systems (M Rodr guez-Olmos & M E Sousa Dias); A Spectral Sequences Approach to Normal Forms (J A Sanders); Rational Parametrization of Strata in Orbit Spaces of Compact Linear Groups (G Sartori & G Valente); Effective Hamiltonians and Perturbation Theory for Quantum Bound States of Nuclear Motion in Molecules (V G Tyuterev); Generalized Hasimoto Transformation and Vector Sine-Gordon Equation (J P Wang); and other papers. Readership: Researchers and graduate students in mathematical and theoretical physics, and nonlinear science."
Author: Dario Bambusi Publisher: World Scientific ISBN: 9810247931 Category : Science Languages : en Pages : 260
Book Description
The third conference on ?Symmetry and Perturbation Theory? (SPT2001) was attended by over 50 mathematicians, physicists and chemists. The proceedings present the advancement of research in this field ? more precisely, in the different fields at whose crossroads symmetry and perturbation theory sit.
Author: Dario Bambusi
Author: Dario Bambusi
Author: Dario Bambusi
Author: Simonetta Abenda
Author: 
Author: Giuseppe Gaeta
Author: Giuseppe Gaeta
Author: Giuseppe Gaeta
Author: Simonetta Abenda
Author: Dario Bambusi
Author: