# SPT 98

**
SYMMETRY AND PERTURBATION THEORY -- SPT 98**

International workshop -- Roma 16-22/12/1998

*
Proceedings edited by A. Degasperis and G. Gaeta*

Published by World Scientific, Singapore 1999

ISBN 981-02-4166-6

**Tutorial papers:**

G. Cicogna and G. Gaeta,
"Nonlinear symmetries and normal forms"
A. Degasperis and M. Procesi,
"Asymptotic integrability"
G. Derks,
"Families of relative equilibria in hamiltonian systems"
G. Gentile,
"Diagrammatic techniques in perturbation t heory, and applications"
F. Verhulst,
"On averaging methods for partial differential equations"
S. Walcher,
"Orbital symmetries of first order ODEs"

**Regular papers:**

S. Abenda and Y. Fedorov,
"The geometrical description of hyperelliptically separable systems"
D. Bambusi,
"Behavious of smoorh solutions of hamiltonian PDE's close to
non-resonant equilibrium points"
P. Bonckaert,
"Smooth seminormal forms of symmetric and reversible systems"
P. Chossat,
"Perturbation of robust heteroclinic cycles bifurcationg in the
spherical Benard problem"
G. Cicogna,
"Convergent normal forms, bifurcations and symmetries"
M.C. Ciocci and A. Vanderbauwhede,
"On the bifurcations and stability of periodic orbits in
reversible and symplectic diffeomorphisms"
A. Doliwa and P.M. Santini
"Planarity and integrability"
G. Gaeta,
"On Poincare' renormalized forms"
T. Gramchev,
"Simultaneous normal forms of perturbations of vector fields
on tori with zero order pseudodifferential operators"
T. Kappeler,
"Action-angle variables for KdV and applications"
J. Katriel,
"Commutativity of supersymmetry with the isospectral transformations
generated by the KdV hierarchy"
G. Lunter,
"Computing normalizing transformations for hamiltonian systems
in resonance"
T. Mel'nyk,
"Perturbation of the spectrum of boundary-valkue problems in
periodic thick multi-structures of type 3:2:1"
J. Montaldi,
"Perturbing a symmetric resonance: the magnetic spherical pendulum"
B. Pelloni,
"The Fokas transform method for the solution of initial boundary value
problems for integrable evolution PDE's"
G. Sartori,
"Orbit spaces of adjoint representations of compact simple Lie groups
and Weyl groups"
L. Sbano,
"Symmetry reductions and periodic orbits in the planar 3-body problem"
M.E. Sousa Dias,
"Relative equilibria in linear elasticity"
V. Talamini,
"Orbit spaces in superconductivity"
S. Walcher,
"Reduction and invariant sets of vector fields admitting
orbital symmetries"
M. Yoshino,
"Simultaneous normal forms of commuting maps and vector fields"

**Contributed papers:**

P. Pronin and K. Stepenyantz,
"Anomalies and exact results in supersymmetric theories"
A. Sergyeyev,
"On time-dependent symmetries and formal symmetries of
evolution equations"
N.A. Sidorov and V.R. Abdullin,
"Interlaced branching equations and invariance in the
theory of nonlinear equations"

*The following partecipants delivered a talk but did not submit a
contribution for the proceedings:*

F. Fasso', A. Mikhailov, N.N. Nekhoroshev, and V. Zakharov.