87 citations · 877 across the 97 of their papers we have counts for
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math.DS2003★ 11 cited
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…
math.DS2003★ 47 cited
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…