SYMMETRY AND PERTURBATION THEORY

SYMMETRY AND PERTURBATION THEORY
Proceedings of the International Conference on SPT 2002

Cala Gonone, Sardinia, Italy, 19 - 26 May 2002

CONTENTS


FRONT MATTER	i
THE MUMFORD REPRESENTATION FOR A HYPERELLIPTICALLY SEPARABLE SYSTEM WITH DEFICIENCY S. ABENDA	1
AN OUTLINE OF THE GEOMETRICAL THEORY OF THE SEPARATION OF VARIABLES IN THE HAMILTON-JACOBI AND SCHRÖDINGER EQUATIONS S. BENENTI	10
EIGENVALUES OF KILLING TENSORS AND ORTHOGONAL SEPARABLE WEBS C. CHANU and G. RASTELLI	18
PARTIAL SYMMETRIES AND SYMMETRIC SETS OF SOLUTIONS TO PDE'S GIAMPAOLO CICOGNA	26
ON THE ALGEBRO-GEOMETRIC SOLUTION OF 3 × 3 MATRIX RIEMANN-HILBERT PROBLEM V. ENOLSKI and T. GRAVA	34
BI-HAMILTONIAN GEOMETRY AND SEPARATION OF VARIABLES FOR GAUDIN MODELS: A CASE STUDY GREGORIO FALQUI and FABIO MUSSO	42
BIFURCATIONS IN FLOW-INDUCED VIBRATION S. FATIMAH and F. VERHULST	51
STEKLOV–LYAPUNOV TYPE SYSTEMS YU. N. FEDOROV	56
QUATERNIONIC INTEGRABLE SYSTEMS GIUSEPPE GAETA and PAOLA MORANDO	72
RENORMALIZATION GROUP AND SUMMATION OF DIVERGENT SERIES FOR HYPERBOLIC INVARIANT TORI GUIDO GENTILE	82
NUMERICAL STUDY OF STABILITY OF NON-CHAOTIC PATTERNS IN COUPLED MAP LATTICES C. GIBERTI and C. VERNIA	90
QUASI-EXACT SOLVABILITY AND CALOGERO-SUTHERLAND MODELS D. GÓMEZ-ULLATE, F. FINKEL, A. GONZÁLEZ-LÓPEZ and M. A. RODRÍGUEZ	98
ON THE LINEARIZATION OF HOLOMORPHIC VECTOR FIELDS IN THE SIEGEL DOMAIN WITH LINEAR PARTS HAVING NONTRIVIAL JORDAN BLOCKS T. GRAMCHEV	106
MATRIX INTEGRALS AS BOREL SUMS OF SCHUR FUNCTION EXPANSIONS J. HARNAD and A. YU. ORLOV	116
SMOOTH NORMALIZATION OF A VECTOR FIELD NEAR AN INVARIANT MANIFOLD A. KOPANSKII	124
INVERSE PROBLEM FOR SL(2) LATTICES VADIM B. KUZNETSOV	136
GROUP INVARIANTS OF KILLING TENSORS IN THE MINKOWSKI PLANE R. G. MCLENAGHAN, R. G. SMIRNOV and D. THE	153
SOME REMARKS ABOUT THE GEOMETRY OF HAMILTONIAN CONSERVATION LAWS JUAN-PABLO ORTEGA	162
JANET'S ALGORITHM W. PLESKEN	171
SOME INTEGRABLE BILLIARDS EMMA PREVIATO	181
ON SEPARABLE SYSTEMS IN 2 DIMENSIONS GIUSEPPE PUCACCO and KJELL ROSQUIST	196
CLASSICAL AND NONCLASSICAL SYMMETRY REDUCTIONS OF THE SCHWARZ-KORTEWEG-DE VRIES EQUATION IN (2+1) DIMENSIONS J. RAMÍREZ, M. S. BRUZÓN, C. MURIEL and M. L. GANDARIAS	210
TRAVELING WAVES AND MONODROMY IN ANHARMONIC LATTICES BOB RINK	217
SYMMETRIES OF RELATIVE EQUILIBRIA FOR SIMPLE MECHANICAL SYSTEMS M. RODRÍGUEZ-OLMOS and M. E. SOUSA DIAS	221
A SPECTRAL SEQUENCE APPROACH TO NORMAL FORMS JAN A. SANDERS	231
RATIONAL PARAMETRIZATION OF STRATA IN ORBIT SPACES OF COMPACT LINEAR GROUPS G. SARTORI and G. VALENTE	240
EFFECTIVE HAMILTONIANS AND PERTURBATION THEORY FOR QUANTUM BOUND STATES OF NUCLEAR MOTION IN MOLECULES VLADIMIR G. TYUTEREV	253
BRANCHES OF INVARIANT TORI AND ROTATION NUMBERS IN SYMMETRIC HAMILTONIAN SYSTEMS: AN EXAMPLE A. VANDERBAUWHEDE, F. J. MUÑOZ-ALMARAZ, E. FREIRE and J. GALÁN	266
GENERALIZED HASIMOTO TRANSFORMATION AND VECTOR SINE-GORDON EQUATION JING PING WANG	276
BACK MATTER	284
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