87 citations · 877 across the 97 of their papers we have counts for
5 papers · 1 filter
Banach Lie-Poisson spaces and reduction
Anatol Odzijewicz, Tudor S. Ratiu
The category of Banach Lie-Poisson spaces is introduced and studied. It is shown that the category of W*-algebras can be considered as one of its subcategories. Examples and applic…
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…
A short proof of chaos in an atmospheric system
Petre Birtea, Mircea Puta, Tudor S. Ratiu +1
We will prove the presence of chaotic motion in the Lorenz five-component atmospheric system model using the Melnikov function method developed by Holmes and Marsden for Hamiltonia…
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.
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…