Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
- 1 April 2016
- journal article
- Published by Elsevier BV in Journal of Differential Equations
- Vol. 260 (7), 6375-6404
- https://doi.org/10.1016/j.jde.2015.12.044
Abstract
No abstract availableKeywords
Other Versions
Funding Information
- MEC (MTM2011-22585, MTM2012-34478, MTM2014-54855-P)
- IRSES (GEOMECH-246981)
- Asociación Mexicana de Cultura A.C.
This publication has 18 references indexed in Scilit:
- Homographic solutions of the curved 3-body problemJournal of Differential Equations, 2011
- The quantum harmonic oscillator on the sphere and the hyperbolic planeAnnals of Physics, 2007
- Nonintegrability of the two-body problem in constant curvature spacesJournal of Physics A: General Physics, 2006
- Generalized Problem of Two and Four Newtonian CentersCelestial Mechanics and Dynamical Astronomy, 2005
- Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvatureJournal of Physics A: General Physics, 1998
- Stability and drift of underwater vehicle dynamics: Mechanical systems with rigid motion symmetryPhysica D: Nonlinear Phenomena, 1997
- A concept of the mass center of a system of material points in the constant curvature spacesCommunications in Mathematical Physics, 1993
- Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase spaceJournal of Geometry and Physics, 1992
- Stability of relative equilibria. Part I: The reduced energy-momentum methodArchive for Rational Mechanics and Analysis, 1991
- Proper actions and pseudo—Riemannian space formsAdvances in Mathematics, 1981