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Relative Equilibria of the $(1+N)$-Vortex Problem
Relative Equilibria $(1+N)$-Vortex Problem
2011/1/18
We examine existence and stability of relative equilibria of the n-vortex problem specialized to the case where N vortices have small and equal circulation and one vortex has large circulation.
On the stability of Hamiltonian relative equilibria with non-trivial isotropy
Hamiltonian relative equilibria with non-trivial isotropy
2010/11/11
We consider Hamiltonian systems with symmetry, and relative equilibria with isotropy subgroup of positive dimension. The stability of such relative equilibria has been studied by Ortega and Ratiu and ...