Symmetry and Perturbation Theory

SPT 2002 (SPT IV)

Cala Gonone, Sardinia, 19-26 May 2002

Proceedings
This is the content of the SPT2002 proceedings:

Foreword and Acknowledgements v

Index viii

S. Abenda The Mumford system for a hyperelliptically separable system with deficiency 1

S. Benenti An outline of the geometrical theory of the separation of variables in the Hamilton-Jacobi and Schroedinger equations 10

C. Chanu
G. Rastelli Eigenvalues of Killing tensors and orthogonal separable webs 18

G. Cicogna Partial symmetries and symmetric sets of solutions to PDEs 26

V. Enolskii
T. Grava On the Algebro-geometric solution of a 3x3 matrix Riemann-Hilbert problem 34

G. Falqui
F. Musso Bi-Hamiltonian geometry and separation of variables for Gaudin models: a case study 42

S. Fatimah
F. Verhulst Bifurcations in flow-induced vibrations 51

Yu. Fedorov Steklov-Lyapunov type systems 56

G. Gaeta
P. Morando Quaternionic integrable systems 72

G. Gentile Renormalization group and summation of divergent series for hyperbolic invariant tori 82

C. Giberti
C. Vernia Stability of non-chaotic patterns in coupled map lattices 90

D. Gomez-Ullate
et al. Quasi-exact solvability and Calogero-Sutherland models 98

T. Gramchev On the linearization of holomorphic vector fields in the Siegel domain with linear parts having nontrivial Jordan blocks 106

J. Harnad
A. Yu. Orlov Matrix integrals as Borel sums of Schur function expansions 116

A. Kopanskii Smooth normalization of a vector field near an invariant manifold 124

V. Kuznetsov Inverse problems for SL(2) Lattices 136

R. McLenaghan
R. Smirnov, D. The Group invariants of Killing tensors in the Minkowski plane 153

J.P. Ortega Some remarks about the geometry of Hamiltonian conservation laws 162

W. Plesken Janet's algorithm 171

E. Previato Some integrable billiards 181

G. Pucacco
K. Rosquist Separable systems in two dimensions as bi-Hamiltonian systems 196

J. Ramirez et al. Classical and nonclassical symmetry reductions of the Schwarz-Korteweg-DeVries equation in (2+1) dimensions 210

B. Rink Traveling waves and monodromy in anharmonic lattices 217

M. Rodriguez Olmos
M.E. Sousa Dias Symmetries of relative equilibria for simple mechanical systems 222

J. Sanders A spectral sequences approach to normal forms 232

G. Sartori
G. Valente Rational parametrization of strata in orbit spaces of compact linear groups 241

V. Tyuterev Effective hamiltonians and perturbation theory for quantum bond states of nuclear motion in molecules 254

A. Vanderbauwhede
et al. Branches of invariant tori and rotation numbers in symmetric hamiltonian systems: an example 267

J.P. Wang Generalized Hasimoto transformation and vector sine-Gordon equation 277

Conference program 286

List and addresses of participants 289

Papers appearing in previous SPT proceedings 291


	Foreword and Acknowledgements	v
	Index	viii

S. Abenda	*The Mumford system for a hyperelliptically separable system with deficiency*	1
S. Benenti	*An outline of the geometrical theory of the separation of variables in the Hamilton-Jacobi and Schroedinger equations*	10
C. Chanu G. Rastelli	*Eigenvalues of Killing tensors and orthogonal separable webs*	18
G. Cicogna	*Partial symmetries and symmetric sets of solutions to PDEs*	26
V. Enolskii T. Grava	*On the Algebro-geometric solution of a 3x3 matrix Riemann-Hilbert problem*	34
G. Falqui F. Musso	*Bi-Hamiltonian geometry and separation of variables for Gaudin models: a case study*	42
S. Fatimah F. Verhulst	*Bifurcations in flow-induced vibrations*	51
Yu. Fedorov	*Steklov-Lyapunov type systems*	56
G. Gaeta P. Morando	*Quaternionic integrable systems*	72
G. Gentile	*Renormalization group and summation of divergent series for hyperbolic invariant tori*	82
C. Giberti C. Vernia	*Stability of non-chaotic patterns in coupled map lattices*	90
D. Gomez-Ullate et al.	*Quasi-exact solvability and Calogero-Sutherland models*	98
T. Gramchev	*On the linearization of holomorphic vector fields in the Siegel domain with linear parts having nontrivial Jordan blocks*	106
J. Harnad A. Yu. Orlov	*Matrix integrals as Borel sums of Schur function expansions*	116
A. Kopanskii	*Smooth normalization of a vector field near an invariant manifold*	124
V. Kuznetsov	*Inverse problems for SL(2) Lattices*	136
R. McLenaghan R. Smirnov, D. The	*Group invariants of Killing tensors in the Minkowski plane*	153
J.P. Ortega	*Some remarks about the geometry of Hamiltonian conservation laws*	162
W. Plesken	*Janet's algorithm*	171
E. Previato	*Some integrable billiards*	181
G. Pucacco K. Rosquist	*Separable systems in two dimensions as bi-Hamiltonian systems*	196
J. Ramirez et al.	*Classical and nonclassical symmetry reductions of the Schwarz-Korteweg-DeVries equation in (2+1) dimensions*	210
B. Rink	*Traveling waves and monodromy in anharmonic lattices*	217
M. Rodriguez Olmos M.E. Sousa Dias	*Symmetries of relative equilibria for simple mechanical systems*	222
J. Sanders	*A spectral sequences approach to normal forms*	232
G. Sartori G. Valente	*Rational parametrization of strata in orbit spaces of compact linear groups*	241
V. Tyuterev	*Effective hamiltonians and perturbation theory for quantum bond states of nuclear motion in molecules*	254
A. Vanderbauwhede et al.	*Branches of invariant tori and rotation numbers in symmetric hamiltonian systems: an example*	267
J.P. Wang	*Generalized Hasimoto transformation and vector sine-Gordon equation*	277

	Conference program	286
	List and addresses of participants	289
	Papers appearing in previous SPT proceedings	291