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math.DS2002
Stability by KAM confinement of certain wild, nongeneric relative equilibria of underwater vehicles with coincident centers of mass and bouyancy
George W. Patrick
Purely rotational relative equilibria of an ellipsoidal underwater vehicle occur at nongeneric momentum where the symplectic reduced spaces change dimension. The stability these re…
math.DS2002
Stability of Poisson Equilibria and Hamiltonian Relative Equilibria by Energy Methods
George W. Patrick, Mark Roberts, Claudia Wulff
We develop a general stability theory for equilibrium points of Poisson dynamical systems and relative equilibria of Hamiltonian systems with symmetries, including several generali…