Browsing by Author "Rodríguez Olmos, Miguel Andrés"
Now showing items 1-5 of 5
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A Hamiltonian study of the stability and bifurcations for the satellite problem
(2015-10-01)
Article
Open AccessWe study the dynamics of a rigid body in a central gravitational field modeled as a Hamiltonian system with continuous rotational symmetries following the geometric framework of Wang et al. Novelties of our work are the ... -
Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2
(2016-01-13)
Article
Open AccessWe classify and analyze the stability of all relative equilibria for the two-body problem in the hyperbolic space of dimension 2 and we formulate our results in terms of the intrinsic Riemannian data of the problem. -
Continuous singularities in hamiltonian relative equilibria with abelian momentum isotropy
(American Institute of Mathematical Sciences, 2020)
Article
Restricted access - publisher's policyWe survey several aspects of the qualitative dynamics around Hamiltonian relative equilibria. We pay special attention to the role of continuous singularities and its effect in their stability, persistence and bifurcations. ... -
Cotangent bundle reduction with singularities
(2010)
Lecture
Open Access -
The Hamiltonian tube of a cotangent-lifted action
(2017)
Article
Open AccessThe Marle-Guillemin-Sternberg (MGS) form is local model for a neighborhood of an orbit of a Hamiltonian Lie group action on a symplectic manifold. One of the main features of the MGS form is that it puts simultaneously in ...
