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math.SG2002
Cosphere bundle reduction in contact geometry
Oana Dragulete, Liviu Ornea, T. S. Ratiu
We extend the theorems concerning the equivariant symplectic reduction of the cotangent bundle to contact geometry. The role of the cotangent bundle is taken by the cosphere bundle…
math.OC2002
Controllability of reduced systems
Petre Birtea, Mircea Puta, Tudor S. Ratiu
Sufficient conditions for the controllability of a conservative reduced system are given. Several examples illustrating the theory are also presented.
math.SG2002
The optimal momentum map
Juan-Pablo Ortega, Tudor S. Ratiu
The presence of symmetries in a Hamiltonian system usually implies the existence of conservation laws that are represented mathematically in terms of the dynamical preservation of…