Symmetry and Perturbation Theory

SPT 2002 (SPT IV)

Cala Gonone, Sardinia, 19-26 May 2002 

Final program of SPT2002

All speakers: 30' talk + 5' discussion
 
 

Monday (morning)
 
09:00 - 09:20 registration
09:25 - 09:30 opening
09:30 - 10:00 Verhulst Behaviour near slow manifolds
10:05 - 10:35 Rauch Quasi-potential Newton equations: 
bihamiltonian structure and separability
10:40 - 11:10 Mikhailov Perturbative symmetry approach
coffee break
11:55 - 12:25 Panati Space-adiabatic perturbation theory
12:30 - 13:00 Degasperis Birth and properties of a new integrable PDE

Monday (afternoon)
 
17:00 - 17:30 Diacu Qualitative properties of the anisotropic Manev problem
17:35 - 18:05 Rink Direction reversing traveling waves 
in the even Fermi Pasta Ulam chain
small break
18:15 - 18:45 Ortega Bifurcation around stationary solutions in symmetric 
Hamiltonian systems
18:50 - 19:20 Ratiu The analogue of the Euler-Poincaré equations 
in  field theory



 

Tuesday (morning)
 
09:00 - 09:30 Belitskii Functional moduli of local 1d diffeomorphisms
09:35 - 10:05 Kopanskii Semi-local normal forms of vector fields
10:10 - 10:45 Plesken Janet's algorithm
coffee break
11:30 - 12:00 Vanderbauwhede Continuation of periodic and relative periodic orbits 
in symmetric Hamiltonian systems
12:05 - 12:35 Nekhoroshev Types and mechanisms of integrability 
on phase space submanifolds

Tuesday (afternoon)
 
17:00 - 17:30 Tyuterev Effective Hamiltonians and rovibrational quantum nuclear dynamics in molecules
17:35 - 18:05 Sacchetti Schroedinger equations with symmetric double-well potential under the effect of nonlinear perturbations
small break
18:15 - 18:45 Harnad Matrix model integrals as Borel sums of Schur function expansions
18:50 - 19:20 McKay Groups, finite, sporadic, discrete, and Lie and moonshine



 

Wednesday

Full day excursion



 

Thursday (morning)
 
09:00 - 09:30 Grava Z_n  curves Riemann-Hilbert problems and Schlesinger equations
09:35 - 10:05 Kuznetsov Solution of inverse problem for integrable lattices
10:10 - 10:45 Previato Some integrable billiards
coffee break
11:30 - 12:00 Fedorov Steklov-Lyapunov type systems and their integrable discretization
12:05 - 12:35 Wang Integrable systems in Riemannian geometry

 

Thursday (afternoon)
 
17:00 - 17:30 Prinari Discrete nonlinear Schroedinger systems
17:35 - 18:05 Vernia Quasiperiodic traveling waves in coupled map lattices
small break
18:15 - 18:45 Santini Initial-Boundary-Value Problems for Integrable PDEs
18:50 - 19:20 Sanders Normal forms and spectral sequences



 

Friday (morning)
 
09:00 - 09:30 Falqui Separation of variables and bihamiltonian geometry
09:35 - 10:05 Gomez-Ullate Quasi-exact solvability and Calogero-Sutherland models
10:10 - 10:45 Benenti Some recent results on symmetry operators 
and separation of variables
coffee break
11:30 - 12:00 Pucacco Separable systems in two dimensions as bi-Hamiltonian systems
12:05 - 12:35 Rosquist The geometric approach to finite-dimensional integrable systems

 

Friday (afternoon)
 
17:00 - 17:30 McLenaghan Group invariant classification of separable
Hamiltonian systems in the Euclidean plane
17:35 - 18:05 Smirnov Group invariants for separable Hamiltonians
defined on Lorenzian spaces of zero curvature
small break
18:15 - 18:45 Fatimah Suppressing flow-induced vibrations by
parametric excitation
18:50 - 19:20 Tuwankotta Relaxation-oscillation in system 
with widely separated frequencies



 

Saturday (morning)
 
09:15 - 09:30 informations about preparation of proceedings papers
09:30 - 10:00 Gentile Renormalization group and summation of divergent series for hyperbolic invariant tori
10:05 - 10:35 Gramchev Normal forms for vector fields and maps
with linear parts having Jordan blocks
10:40 - 11:10 Chanu Eigenvalues of Killing tensors and separable coordinates
coffee break
11:45 - 12:15 Walcher Integrating factors of plane analytic systems
12:20 - 12:50 Olver Moving frames for pseudo-groups

Afternoon (17.00): Round table "Final discussion and open problems"

Evening (19.00): Aperitivo and Final Dinner



Last modified: 29 May 2002
G. Gaeta