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• W2952899244 abstract "We study the effective dynamics of a mechanical particle coupled to a wave field and subject to the slowly varying potential $V(eps q)$ with $eps$ small. To lowest order in $eps$ the motion of the particle is governed by an effective Hamiltonian. In the next order one obtains ``dissipative'' terms which describe the radiation reaction. We establish that this dissipative dynamics has a center manifold which is repulsive in the normal direction and which is global, in the sense that for given data and sufficiently small $eps$ the solution stays on the center manifold forever. We prove that the solution of the full system is well approximated by the effective dissipative dynamics on its center manifold." @default.
• W2952899244 created "2019-06-27" @default.
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• W2952899244 date "1999-01-12" @default.
• W2952899244 modified "2023-09-27" @default.
• W2952899244 title "Radiation Reaction and Center Manifolds" @default.
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