30 citations · 147 across the 15 of their papers we have counts for
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Hamiltonian Relative Equilibria with Continuous Isotropy
James Montaldi, Miguel Rodriguez-Olmos
In symmetric Hamiltonian systems, relative equilibria usually arise in continuous families. The geometry of these families in the setting of free actions of the symmetry group is w…
The Fast-Superfast Transition in the Sleeping Lagrange Top
Tudor S. Ratiu, Miguel Rodriguez-Olmos, Miguel Teixidó-Román
The fast-superfast transition is a particular movement of eigenvalues found by Lewis et al. when studying the family of sleeping equilibria in the Lagrange top. Although this behav…
A Hamiltonian Study Of The Stability and Bifurcations For The Satellite Problem
M. C. Muñoz-Lecanda, Miguel Rodriguez-Olmos, Miguel Teixidó-Román
We study the dynamics of a rigid body in a central gravitational field modeled as a Hamiltonian system with continuous rotational symmetries following the geometrical framework of…
On the stability of Hamiltonian relative equilibria with non-trivial isotropy
James Montaldi, Miguel Rodriguez-Olmos
We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of positive dimension. The stability of such relative equilibria has been studied by O…
Stability of relative equilibria with singular momentum values in simple mechanical systems
Miguel Rodriguez-Olmos
A method for testing -stability of relative equilibria in Hamiltonian systems of the form "kinetic + potential energy" is presented. This method extends the Reduced Energy-Mom…