Abstract:
We consider Hamiltonian systems corresponding to the motions of a system of N repelling particles evolving in space under the action deriving from a very long range potential energy; the asymptotic behavior of the system is analysed for the cases U=− ln r and . Only special “asymptotic¶shapes” are reached, which may present quite interesting symmetries and correspond to the critical points of a gradient system. The relationships between the original Hamiltonian and the asymptotic gradient system are discussed.
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Accepted: May 25, 1999
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Fusco, G., Muniz Oliva, W. Formation of Symmetric Structures in the Dynamics of Repelling Particles. Arch. Rational Mech. Anal. 151, 95–123 (2000). https://doi.org/10.1007/s002050050194
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DOI: https://doi.org/10.1007/s002050050194