Add to ORKGWe present a framework for the study of the local qualitative dynamics of equivariant Hamiltonian flows specially designed for points in phase space with nontrivial isotropy. This is based on the classical construction of structure-preserving tubular neighborhoods for Hamiltonian Lie group actions on symplectic manifolds. This framework is applied to obtaining concrete and testable conditions guaranteeing the existence of bifurcations from symmetric branches of Hamiltonian relative equilibria
Let P be a symplectic manifold with a free symplectic action of a connected compact Lie group G. We ...
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
We prove that for every proper Hamiltonian action of a Lie group G in finite dimensions the momentum...
Abstract. We present a framework for the study of the local qualitative dy-namics of equivariant Ham...
In symmetric Hamiltonian systems, relative equilibria usually arise in continuous families. The geom...
The relative equilibria of a symmetric Hamiltonian dynamical system are the critical points of the s...
AbstractThe relative equilibria of a symmetric Hamiltonian dynamical system are the critical points ...
We consider relative equilibria in symmetric Hamiltonian systems, and their persistence or bifurcati...
We give explicit differential equations for the dynamics of Hamiltonian systems near relative equili...
We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of pos...
A symplectic version of the slice theorem for compact group actions is used to give a general descri...
We give explicit differential equations for a symmetric Hamiltonian vector field near a relative per...
AbstractWe give explicit differential equations for the dynamics of Hamiltonian systems near relativ...
We consider the phenomenon of forced symmetry breaking in a symmetric Hamiltonian system on a symple...
We prove new results on the persistence of Hamiltonian relative equilibria with generic velocity-mom...
Let P be a symplectic manifold with a free symplectic action of a connected compact Lie group G. We ...
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
We prove that for every proper Hamiltonian action of a Lie group G in finite dimensions the momentum...
Abstract. We present a framework for the study of the local qualitative dy-namics of equivariant Ham...
In symmetric Hamiltonian systems, relative equilibria usually arise in continuous families. The geom...
The relative equilibria of a symmetric Hamiltonian dynamical system are the critical points of the s...
AbstractThe relative equilibria of a symmetric Hamiltonian dynamical system are the critical points ...
We consider relative equilibria in symmetric Hamiltonian systems, and their persistence or bifurcati...
We give explicit differential equations for the dynamics of Hamiltonian systems near relative equili...
We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of pos...
A symplectic version of the slice theorem for compact group actions is used to give a general descri...
We give explicit differential equations for a symmetric Hamiltonian vector field near a relative per...
AbstractWe give explicit differential equations for the dynamics of Hamiltonian systems near relativ...
We consider the phenomenon of forced symmetry breaking in a symmetric Hamiltonian system on a symple...
We prove new results on the persistence of Hamiltonian relative equilibria with generic velocity-mom...
Let P be a symplectic manifold with a free symplectic action of a connected compact Lie group G. We ...
Relative equilibria of Lagrangian and Hamiltonian systems with symmetry are critical points of appro...
We prove that for every proper Hamiltonian action of a Lie group G in finite dimensions the momentum...