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math.DG2000
The dynamics around stable and unstable Hamiltonian relative equilibria
Juan-Pablo Ortega, Tudor S. Ratiu
For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding stable and formally unstable relative equilibria on nearby energy levels are give…
math.DG2000
Relative normal modes for nonlinear Hamiltonian systems
Juan-Pablo Ortega
An estimate on the number of distinct relative periodic orbits around a stable relative equilibrium in a Hamiltonian system with continuous symmetry is given. This result constitut…