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SYMMETRY AND PERTURBATION THEORY

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SPT 98

*Workshop - Roma 16-22/12/1998*

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Proceedings edited by A. Degasperis and G. Gaeta

Published by World Scientific, Singapore 1999

ISBN 981-02-4166-6

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*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 theory,
and applications"*

**F. Verhulst,** *"On averaging methods for partial differential
equations"*

**S. Walcher,** *"Orbital symmetries of first order ODEs"*

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*Regular papers:*

**S. Abenda and Y. Fedorov,** *"The geometrical description of hyperelliptically
separable systems"*
**D. Bambusi,** *"Behaviour of smooth 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"*

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*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"*