Joaquin Delgado

New Advances in Celestial Mechanics and Hamiltonian Systems: HAMSYS-2001 Joaquin Delgado 2004 edition

Marc Notes: Includes bibl. ref. & index; Conf. papers ... 2001. Table of Contents: Exchange and capture in the planar restricted parabolic 3-body problem.- Fitting Invariant Curves on Billiard Tables and the Birkhoff-Herman Theorem.- Construction of Periodic Orbits in Hill s Problem for C ? 34/3.- Are there perverse choreographies?.- Blow up of total collision in the tetrahedral non-rotating four body problem.- Regularization of single binary collisions.- A Survey on Bifurcations of Invariant Tori.- Perturbing the Lagrange solution to the general three body problem.- Horseshoe periodic orbits in the restricted three body problem.- Instability of Periodic Orbits in the Restricted Three Body Problem.- Syzygies and the Integral Manifolds of the Spatial N-Body Problem.- Dynamics and bifurcation near the transition from stability to complex instability.- Invariant Manifolds of Spatial Restricted Three-Body Problems: the Lunar Case.- Path Integral Quantization of the Sphere.- Non-holonomic systems with symmetry allowing a conformally symplectic reduction.- 253."

Contributor Bio:  Llibre, Jaume FREDDY DUMORTIER is full professor at Hasselt University (Belgium), and a member of the Royal Flemish Academy of Belgium for Science and the Arts. He was a long-term visitor at different important universities and research institutes. He is the author of many papers and his main results deal with singularities and their unfolding, singular perturbations, Lienard equations and Hilberta (TM)s 16th problem. JAUME LLIBRE is full professor at the Autonomous University of Barcelona (Spain), he is a member of the Royal Academy of Sciences and Arts of Barcelona. He was a long term visitor at different important universities and research institutes. He is the author of many papers and had a large number of Ph. D. students. His main results deal with periodic orbits, topological entropy, polynomial vector fields, Hamiltonian systems and celestial mechanics. JOAN C. ARTES is professor at the Autonomous University of Barcelona (Spain). His main results deal with polynomial vector fields, more concretely quadratic ones. He programmed, some 20 years ago, the first version of P4 (only for quadratic systems) from which the program P4 was developed with the help of Chris Herssens and Peter De Maesschalck.