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## User: george-w-patrick

### Title: Stability by KAM confinement of certain wild, nongeneric relative equilibria of underwater vehicles with coincident centers of mass and bouyancy

Click here to flash read.

Purely rotational relative equilibria of an ellipsoidal underwater vehicle
occur at nongeneric momentum where the symplectic reduced spaces change
dimension. The stability these relative equilibria under momentum changing
perturbations is not accessible by Lyapunov functions obtained from energy and
momentum. A blow-up construction transforms the stability problem to the
analysis symmetry-breaking perturbations of Hamiltonian relative equilibria. As
such, the stability follows by KAM theory rather than energy-momentum
confinement.

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