Symmetry and Perturbation Theory

Symmetry and Perturbation Theory

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This is the fourth conference on a€œSupersymmetry and Perturbation Theorya€ (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 SchrApdinger 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 a T Grava)Bifurcations in Flow-Induced Vibration (S Fatimah a 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 RodrAsguez-Olmos a 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 a 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;NormalizationIn the figure below, by dualizing the projective plane, we obtain a conic C* and n + 1(= 7) points on it such that the tangents to ... Let Q1, Q2 be (generic) quadrics in Pa#39; and let K be a cone of the pencil (Q1, Q2) with verter O. Project Q; from O and call D1, ... Since the Griffiths-and-Harris construction involves three conics, it can be viewed as an illustration of Darbouxa#39;s theorem; the picture above depicts theanbsp;...

Title:Symmetry and Perturbation Theory
Author: Simonetta Abenda, Giuseppe Gaeta, Sebastian Walcher
Publisher: - 2003-01-14

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