New Advances in Celestial Mechanics and Hamiltonian Systems: Hamsys-2001

ISBN-13: 9781461347781 / Angielski / Miękka / 2012 / 255 str.

Joaquin Delgado; Ernesto A. Lacomba; Jaume Llibre

Opis

The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the attention of young researchers and graduated students from our scientific community to the above topics, which are nowadays of interest and relevance in Celestial Mechanics and Hamiltonian dynamics. A glance to the achievements in the area in the last century came as a consequence of joint discussions in the workshop sessions, new problems were presented and lines of future research were delineated. Specific discussion topics included: New periodic orbits and choreographies in the n-body problem, singularities in few body problems, central configurations, restricted three body problem, geometrical mechanics, dynamics of charged problems, area preserving maps and Arnold diffusion.

Spis treści

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.

O autorze

Jaume Llibre is full professor at the Autonomous University of Barcelona (Spain) and 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 and is the author of many papers and some books. His main results deal with the periodic orbits either of different kinds of self-maps, or of vector fields, Hamiltonian systems and celestial mechanics.