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Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry
Asymptotic stability of ground states Hamiltonian PDEs symmetry
2011/9/22
Abstract: We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally stable then it is also asymptotically stable. The main assumptions are transversal nondeg...
Asymptotic Stability of Dissipated Hamilton-Poisson Systems
dynamical systems stability theory rigid body
2011/9/16
Abstract: We will further develop the study of the dissipation for a Hamilton-Poisson system introduced in \cite{2}. We will give a tensorial form of this dissipation and show that it preserves the Ha...