87 citations · 877 across the 97 of their papers we have counts for
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math.SG2001★ 4 cited
A symplectic slice theorem
Juan-Pablo Ortega, Tudor S. Ratiu
We provide a model for an open invariant neighborhood of any orbit in a symplectic manifold endowed with a canonical proper symmetry. Our results generalize the constructions of Ma…
math.DS2001★ 22 cited
Hamiltonian Hopf bifurcation with symmetry
Pascal Chossat, Juan-Pablo Ortega, Tudor S. Ratiu
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not gener…