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SYMMETRY AND PERTURBATION THEORY
Proceedings of the International Conference on SPT 2007

Otranto, Italy, 2 - 9 June 2007


CONTENTS

FRONT MATTER
i
FEATURED CONTRIBUTIONS
HOMOGENEOUS BI-LAGRANGIAN MANIFOLDS AND INVARIANT MONGE-AMPÈRE EQUATIONS
DMITRI V. ALEKSEEVSKY and ANDREA SPIRO
3
ON DARBOUX INTEGRABILITY
I. M. ANDERSON, M. E. FELS and P. J. VASSILIOU
13
INTEGRABLE SYSTEMS IN SYMPLECTIC GEOMETRY
ESMAEEL ASADI and JAN A. SANDERS
21
SINGULARITIES AND COLLISIONS IN N-BODY TYPE PROBLEMS
V. BARUTELLO and S. TERRACINI
29
COMPUTING CURVATURE WITHOUT CHRISTOFFEL SYMBOLS
S. BENENTI
37
SURVEY OF STRONG NORMAL-INTERNAL k : ℓ RESONANCES IN QUASI-PERIODICALLY DRIVEN OSCILLATORS FOR ℓ = 1,2,3
H. W. BROER, R. VAN DIJK and R. VITOLO
45
QUASI–PERIODIC ATTRACTORS AND SPIN–ORBIT RESONANCES
A. CELLETTI and L. CHIERCHIA
56
DARBOUX CONSTRUCTION OF SOLUTIONS OF INTEGRABLE PDES WITH NONVANISHING BOUNDARY VALUES
A. DEGASPERIS and S. LOMBARDO
64
TRANSITIVE DECOMPOSITION OF n-BODY SYMMETRY GROUPS
D. L. FERRARIO
73
NORMAL FORMS FOR COMMUTING VECTOR FIELDS NEAR A COMMON FIXED POINT
T. GRAMCHEV and M. YOSHINO
81
A MONKEY SADDLE IN RIGID BODY DYNAMICS
HEINZ HANSSMANN
92
NONLOCAL GEOMETRY OF PDEs AND INTEGRABILITY
I. KRASIL'SHCHIK
100
ANOMALY OF LINEARIZATION AND AUXILIARY INTEGRALS
BORIS KRUGLIKOV
108
NATURAL VARIATIONAL PRINCIPLES
D. KRUPKA
116
VARIATIONAL EXTERIOR DIFFERENTIAL SYSTEMS
OLGA KRUPKOVÁ
124
ON THE RELATION BETWEEN FORMAL GROUPS, APPELL POLYNOMIALS AND HYPERFUNCTIONS
S. MARMI and P. TEMPESTA
132
VARIATIONAL λ-SYMMETRIES AND DEFORMED LIE DERIVATIVE
P. MORANDO
140
MAURER–CARTAN FORMS FOR SYMMETRY PSEUDO-GROUPS AND COVERINGS OF DIFFERENTIAL EQUATIONS
OLEG I. MOROZOV
148
FUZZY FRACTIONAL MONODROMY
N. N. NEKHOROSHEV
156
ON THE CORRESPONDENCE BETWEEN DIFFERENTIAL EQUATIONS AND SYMMETRY ALGEBRAS
F. OLIVERI, G. MANNO and R. VITOLO
164
MOVING FRAMES AND DIFFERENTIAL INVARIANTS FOR LIE PSEUDO-GROUPS
PETER OLVER and JUHA POHJANPELTO
172
PERIODIC SOLUTIONS FOR A CLASS OF NON-LINEAR SCHRODINGER EQUATIONS IN D > 1 SPATIAL DIMENSIONS
MICHELA PROCESI
181
SINGULAR PERTURBATION FOR DISCONTINUOUS ORDINARY DIFFERENTIAL EQUATIONS
M. A. TEIXEIRA and P. R. DA SILVA
189
CONTINUATION OF PERIODIC SOLUTIONS IN CONSERVATIVE AND REVERSIBLE SYSTEMS
ANDRÉ VANDERBAUWHEDE
198
EMERGENCE OF SLOW MANIFOLDS IN NONLINEAR WAVE EQUATIONS
FERDINAND VERHULST
206
SUPERINTEGRABLE SYSTEMS WITH SPIN IN TWO-AND THREE-DIMENSIONAL EUCLIDEAN SPACES
P. WINTERNITZ and İ. YURDUŞEN
215
GENERALIZATION OF HAMILTONIAN MONODROMY: QUANTUM MANIFESTATIONS
BORIS ZHILINSKII
223
EXTENDED ABSTRACTS
Internal flow through a conducting thin duct via symmetry analysis
Mina B. Abd-el-Malek and H. S. Hassan
233
Contact Geometry of parabolic Monge-Ampère equations
R. Alonso Blanco, G. Manno and F. Pugliese
235
Complete Symmetry Groups and Lie remarkability
K. Andriopoulos
237
Quantum wave equations in curved space-time from wave mechanics
Mayeul Arminjon
239
Nonlocal interpretation of λ-symmetries
Diego Catalano Ferraioli
241
R-SEPARATION FOR THE CONFORMAL LAPLACIAN
C. CHANU, M. CHANACHOWICZ and R. G. McLENAGHAN
243
Asymptotic behavior of a Bouncing Ball
Anna Maria Cherubini, Giorgio Metafune and Francesco Paparella
245
Discontinuous solutions for the Degasperis-Procesi equation
G. M. Coclite and K. H. Karlsen
247
Variational Poisson–Nijenhuis structures for evolution PDEs
Valentina Golovko
249
Analytic approximations of geometric maps and applications to KAM theory
A. González-Enríquez and R. de la Llave
251
A method to construct asymptotic solutions invariant under the renormalization group
Masatomo Iwasa
253
Utiyama's reduction method and infinitesimal symmetries of invariant Lagrangians
Josef Janyška
255
Stability of the tethered satellite system relative equilibria: Unrestricted problem
I. I. Kosenko and S. Ya. Stepanov
257
Globally minimizing parabolic motions in the Newtonian N-body problem
E. Maderna and A. Venturelli
259
Geodesically equivalent flat bi-cofactor systems
K. Marciniak
261
Symmetry group and symplectic structure for exotic particles in the plane
L. Martina
264
Some properties of the dynamics of two interacting particles in a uniform magnetic field
D. Pinheiro and R. S. Mackay
267
On the dihedral n-body problem
Alessandro Portaluri
269
Lax representation for integrable OΔEs
O. Rojas, P. van der Kamp and G. R. W. Quispel
271
Pseudorotational Spectra of Molecules and Isoparametric Geometry
A. R. Rutherford
273
Darboux integrable hyperbolic PDE in the plane of generic Type: a classification by means of Cartan Tensor and Maple 11®
F. Strazzullo
276
Towards global classifications: a diophantine approach
Peter H. van der Kamp
278
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms
R. Vitolo, H. W. Broer and C. Simó
280
Relative invariants for Lie algebras: construction and applications
Irina Yehorchenko
282
CONFERENCE INFORMATION
BACK MATTER
287
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