Hamiltonian Systems and Celestial Mechanics: Hamsys-98 Proceedings of the III International Symposium, Patzeuaro, Michoacan, Mexico Held 7-11 December 1998

by International Symposium on Hamiltonian Systems and Celestial Mechanics (3rd : 1998 : Patzcuaro, Mexico); Lacomba, E. A.; Perez-Chavela, E.; Llibre, Jaume; Delgado, J.; Delgado, J.

• ISBN13: 9789810244637
• ISBN10: 9810244630
• Format: Hardcover
• Copyright: 2000-12-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the third International Symposium on Hamiltonian Systems and Celestial Mechanics, held in Patzcuaro, Michoacan, Mexico, December 7-11, 1998. Topics covered by the talks included Arnold diffusion, central configurations, area preserving maps, and billiards.

Table of Contents

Preface	vii
The Rhomboidal Charged Four Body Problem	1	(19)
F. Alfaro
E. Perez-Chavela
Planetary Rings with Shepherds	20	(12)
L. Benet
T.H. Seligman
Low Reynolds Number Swimming in Two Dimensions	32	(31)
A. Cherman
J. Delgado
F. Duda
K. Ehlers
J. Koiller
R. Montgomery
2-Dimensional Invariant Tori for the Spatial Isosceles 3-Body Problem	63	(11)
M. Corbera
J. Llibre
The Global Flow for the Synodical Spatial Kepler Problem	74	(16)
M.P. Dantas
J. Llibre
Unbounded Growth of Energy in Periodic Perturbations of Geodesic Flows of the Torus	90	(21)
A. Delshams
R. De La Llave
T.M. Seara
Splitting and Melnikov Potentials in Hamiltonian Systems	111	(27)
A. Delshams
P. Gutierrez
Infinity Manifolds of Cubic Polynomial Hamiltonian Vector Fields with 2 Degrees of Freedom	138	(23)
M. Falconi
E.A. Lacomba
J. Llibre
Relativistic Corrections to Elementary Galilean Dynamics and Deformations of Poisson Brackets	161	(13)
R. Flores-Espinoza
Yu.M. Vorobjev
Heteroclinic Phenomena in the Sitnikov Problem	174	(12)
A. Garcia
E. Perez-Chavela
Doubly-Symmetric Periodic Solutions of Hill's Lunar Problem	186	(11)
R.C. Howison
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	197	(17)
A. Jorba
Variational Methods for Quasi-Periodic Solutions of Partial Differential Equations	214	(15)
R. de la Llave
The Splitting of Invariant Lagrangian Submanifolds: Geometry and Dynamics	229	(21)
J.-P. Marco
Cross-Sections in the Planar N-Body Problem	250	(11)
C. McCord
Existence of an Additional First Integral and Completeness of the Flow for Hamiltonian Vector Fields	261	(23)
J. Mucino-Raymundo
Simplification of Perturbed Hamiltonians Through Lie Transformations	284	(19)
J. Palacian
P. Yanguas
Linear Stability in the 1 + N-Gon Relative Equilibrium	303	(28)
G.E. Roberts
Analytic Continuation of Circular and Elliptic Kepler Motion to the General 3-Body Problem	331	(18)
J. Soler
The Phase Space of Finite Systems	349
K.B. Wolf
N.M. Atakishiyev
S.M. Chumakov