87 citations · 877 across the 97 of their papers we have counts for
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Symmetry breaking for toral actions in simple mechanical systems
Petre Birtea, Mircea Puta, Tudor S. Ratiu +1
For simple mechanical systems, bifurcating branches of relative equilibria with trivial symmetry from a given set of relative equilibria with toral symmetry are found. Lyapunov sta…
Extensions of Banach Lie-Poisson spaces
Anatol Odzijewicz, Tudor Ratiu
The extension of Banach Lie-Poisson spaces is studied and linked to the extension of a special class of Banach Lie algebras. The case of W*-algebras is given particular attention.…
The Banach Poisson geometry of multi-diagonal Toda-like lattices
Anatol Odzijewicz, Tudor Ratiu
The Banach Poisson geometry of multi-diagonal Hamiltonian systems having infinitely many integrals in involution is studied. It is shown that these systems can be considered as gen…
The relation between local and global dual pairs
James Montaldi, Juan-Pablo Ortega, Tudor S. Ratiu
In this note we clarify the relationship between the local and global definitions of dual pairs in Poisson geometry. It turns out that these are not equivalent. For the passage fro…
Singular reduction of implicit Hamiltonian systems
Guido Blankenstein, Tudor S. Ratiu
This paper develops the reduction theory of implicit Hamiltonian systems admitting a symmetry group at a singular value of the momentum map. The results naturally extend those know…