46 citations · 258 across the 32 of their papers we have counts for
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math.DS2015★ 5 cited
Hamiltonian Relative Equilibria with Continuous Isotropy
James Montaldi, Miguel Rodriguez-Olmos
In symmetric Hamiltonian systems, relative equilibria usually arise in continuous families. The geometry of these families in the setting of free actions of the symmetry group is w…
math.DS2015
Periodic orbits in Hamiltonian systems with involutory symmetries
Reem Alomair, James Montaldi
We study the existence of families of periodic solutions in a neighbourhood of a symmetric equilibrium point in two classes of Hamiltonian systems with involutory symmetries. In bo…