Hamiltonian systems and celestial mechanics (HAMSYS-98) : proceedings of the III International Symposium, Pȧtzcuaro, Michoacȧn, México, 7-11 December 1998
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Bibliographic Information
Hamiltonian systems and celestial mechanics (HAMSYS-98) : proceedings of the III International Symposium, Pȧtzcuaro, Michoacȧn, México, 7-11 December 1998
（World scientific monograph series in mathematics, v. 6）
World Scientific, c2000
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Includes bibliographical references
Description and Table of Contents
Description
This volume is an outgrowth of the Third International Symposium on Hamiltonian Systems and Celestial Mechanics. The main topics are Arnold diffusion, central configurations, singularities in few-body problems, billiards, area-preserving maps, and geometrical mechanics. All papers in the volume went through the refereeing process typical of a mathematical research journal.
Table of Contents
- The rhomboidal charged four body problem, F. Alfaro and E. Perez-Chavela
- planetary rings with shepherds, L. Benet and T.H. Seligman
- low Reynolds number swimming in two dimensions, A. Cherman et al
- 2-dimensional invariant Tori for the spatial isosceles 3-body problem, M. Corbera and J. Llibre
- the global flow for the synodical spatial Kepler problem, M.P. Dantas and J. Llibre
- unbounded growth of energy in periodic perturbations of geodesic flows of the torus, A. Delshams et al
- splitting and Meinikov potentials in Hamiltonian systems, A. Delshams and P. Gutierrez
- infinity manifolds of cubic polynomial Hamiltonian vector fields with 2 degrees of freedom, M. Falconi et al
- relativistic corrections to elementary Galilean dynamics and deformations of Poisson brackets, R. Flores-Espinoza and Y.M. Vorobjev
- heteroclinic phenomena in the Sitnikov problem, A. Garcia and E. Perez-Chavela)
- doubly-symmetric periodic solutions of Hill's lunar problem, R.C. Howison and K.R. Meyer
- on practical stability regions for the motion of a small particle close to the equilateral points of the real earth-moon system, A. Jorba
- variational methods for quasi-periodic solutions of partial differential equations, R. de la Llave
- the splitting of invariant Lagrangian submanifolds - geometry and dynamics, J.-P. Marco
- cross-sections in the planar N-body problem, C. McCord
- existence of an additional first integral and completeness of the flow for Hamiltonian vector fields, J. Mucino-Raymundo
- simplification of perturbed Hamiltonians through Lie transformations, J. Palacian and P. Yanguas
- linear stability in the 1 + N-Gon relative equilibrium, G.E. Roberts
- analytic continuation of circular and elliptic Kepler motion to the general 3-body problem, J. Soler
- the phase space of finite systems, K.B. Wolf et al.
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