SYMMETRY AND PERTURBATION THEORY

SYMMETRY AND PERTURBATION THEORY
Proceedings of the International Conference on SPT2004

Cala Gonone, Sardinia, Italy, 30 May - 6 June 2004

CONTENTS

FRONT MATTER	i
Papers
A CO-CHAIN MAP FOR THE G INVARIANT DE RHAM COMPLEX I.M. ANDERSON and M.E. FELS	1
NEW EXAMPLES OF TRIHAMILTONIAN STRUCTURES LINKING DIFFERENT LENARD CHAINS C. ANDRÀ and L. DEGIOVANNI	13
WAVE PROPAGATION IN AN ELASTIC MEDIUM: GDS EQUATIONS C. BABAOGLU and S. ERBAY	22
PARAMETRIC EXCITATION IN NONLINEAR DYNAMICS T. BAKRI	27
COLLISIONLESS ACTION-MINIMIZING TRAJECTORIES FOR THE EQUIVARIANT 3-BODY PROBLEM IN ℝ² V. BARUTELLO	35
THE LAGRANGIAN AND HAMILTONIAN FORMULATIONS FOR A SPECIAL CLASS OF NON-CONSERVATIVE SYSTEMS SERGIO BENENTI	43
SHADOWING CHAINS OF COLLISION ORBITS FOR THE ELLIPTIC 3-BODY PROBLEM SERGEY BOLOTIN	51
SIMILARITY REDUCTIONS OF AN OPTICAL MODEL M.S. BRUZÓN and M.L. GANDARIAS	59
FOLD, TRANSCRITICAL AND PITCHFORK SINGULARITIES FOR TIME-REVERSIBLE SYSTEMS C. A. BUZZI, P. R. SILVA and M. A. TEIXEIRA	67
HOMOGRAPHIC THREE-BODY MOTIONS WITH POSITIVE AND NEGATIVE MASSES M. CELLI	75
REMARKS ON CONFORMAL KILLING TENSORS AND SEPARATION OF VARIABLES C. CHANU and G. RASTELLI	83
A REGULARITY THEORY FOR OPTIMAL PARTITION PROBLEMS M. CONTI, G. VERZINI and S. TERRACINI	91
LAMBDA AND MU-SYMMETRIES GIUSEPPE GAETA	99
POTENTIAL SYMMETRIES AND LINEARIZATION OF SOME EVOLUTION EQUATIONS M.L. GANDARIAS	106
PERIODIC SOLUTIONS FOR ZERO MASS NONLINEAR WAVE EQUATIONS G. GENTILE	115
FUNDAMENTAL COVARIANTS IN THE INVARIANT THEORY OF KILLING TENSORS J. T. HORWOOD, R. G. MCLENAGHAN, R. G. SMIRNOV and D. THE	124
GLOBAL GEOMETRY OF 3-BODY TRAJECTORIES WITH VANISHING ANGULAR MOMENTUM WU-YI HSIANG	132
THE RELATION BETWEEN THE TOPOLOGICAL STRUCTURE OF THE SET OF CONTROLLABLE AFFINE SYSTEMS AND TOPOLOGICAL STRUCTURES OF THE SET OF CONTROLLABLE HOMOGENUOUS SYSTEMS IN LOW DIMENSION ABDELOUAHAB KADEM	141
ON PRESERVATION OF ACTION VARIABLES FOR SATELLITE LIBRATIONS IN ELLIPTIC ORBIT WITH ACCOUNT OF SOLAR LIGHT PRESSURE I. I. KOSSENKO	151
AN EXPLICIT SOLUTION OF THE (QUANTUM) ELLIPTIC CALOGERO-SUTHERLAND MODEL EDWIN LANGMANN	159
AN APPLICATION OF THE MELNIKOV INTEGRAL TO A RESTRICTED THREE BODY PROBLEM JAUME LLIBRE and ERNESTO PEREZ-CHAVELA	175
REDUCTIONS OF INTEGRABLE EQUATIONS AND AUTOMORPHIC LIE ALGEBRAS S. LOMBARDO and A. V. MIKHAILOV	183
GEOMETRIC REDUCTION OF POISSON OPERATORS KRZYSZTOF MARCINIAK and MACIEJ BLASZAK	193
CLOSED MANIFOLDS ADMITTING METRICS WITH THE SAME GEODESICS VLADIMIR S. MATVEEV	198
A TRANSCRITICAL-FLIP BIFURCATION IN A MODEL FOR A ROBOT-ARM H.G.E. MEIJER	209
ALIGNMENT AND THE CLASSIFICATION OF LORENTZ-SIGNATURE TENSORS R. MILSON	215
RENORMALIZATION GROUP SYMMETRY AND GAS DYNAMICS SOUICHI MURATA	223
REFINED COMPUTATION OF HYPERNORMAL FORMS JAMES MURDOCK	229
NEW ORDER REDUCTIONS FOR EULER-LAGRANGE EQUATIONS C. MURIEL and J. L. ROMERO	236
REGULARITY OF PSEUDOGROUP ORBITS PETER J. OLVER and JUHA POHJANPELTO	244
RELAXATION TIMES TO EQUILIBRIUM IN FERMI-PASTA-ULAM SYSTEM S. PALEARI and T. PENATI	255
ENERGY CASCADE IN FERMI-PASTA-ULAM MODELS A. PONNO and D. BAMBUSI	263
ON BIRKHOFF METHOD FOR INTEGRABLE LAGRANGIAN SYSTEMS GIUSEPPE PUCACCO	271
SYMMETRY OF SINGULARITIES AND ORBIT SPACES OF COMPACT LINEAR GROUPS G. SARTORI and G. VALENTE	279
SYMMETRIC SOLUTIONS IN MOLECULAR POTENTIALS LUCA SBANO	291
VARIATIONAL APPROACH TO SOLITON GENERATION AND STABILITY ANALYSIS OF MULTIDIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION V. SKARKA, N. B. ALEKSIC and V. BEREZHIANI	300
DIFFERENTIAL INVARIANTS FOR INFINITE-DIMENSIONAL ALGEBRAS IRINA YEHORCHENKO	308
BACK MATTER	313
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