edited by J Delgado (Universidad Autónoma Metropolitana-Iztapalapa, México) , E A Lacomba (Universidad Autónoma Metropolitana-Iztapalapa, México) , E Pérez-Chavela (Universidad Autónoma Metropolitana-Iztapalapa, México) , & J Llibre (Universitat Autònoma de Barcelona, Spain)

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.

• The Rhomboidal Charged Four Body Problem (F Alfaro & E Pérez-Chavela)
• Planetary Rings with Shepherds (L Benet & 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 & J Llibre)
• The Global Flow for the Synodical Spatial Kepler Problem (M P Dantas & J Llibre)
• Unbounded Growth of Energy in Periodic Perturbations of Geodesic Flows of the Torus (A Delshams et al.)
• Splitting and Melnikov Potentials in Hamiltonian Systems (A Delshams & P Gutiérrez)
• 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 & Y M Vorobjev)
• Heteroclinic Phenomena in the Sitnikov Problem (A García & E Pérez-Chavela)
• Doubly-Symmetric Periodic Solutions of Hill's Lunar Problem (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 (À 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 Muciño-Raymundo)
• Simplification of Perturbed Hamiltonians Through Lie Transformations (J Palacián & 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.)