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Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2011

Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems

Résumé

We adapt the simulated annealing algorithm to the search of periodic orbits for classical multi-electron atomic systems. This is done by minimizing the n-th return distance to the initial position on a Poincare surface of section under an energy constraint. Here we give evidence of the feasibility of the method by applying it to the helium atom in the ground state for one to three spatial dimensions. We examine the structure of the dynamics and connect its organization to the periodic orbits we have found.
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Dates et versions

hal-00521041 , version 1 (24-09-2010)

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Francois Mauger, Cristel Chandre, Turgay Uzer. Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems. Communications in Nonlinear Science and Numerical Simulation, 2011, 16 (7), pp.2845-2852. ⟨10.1016/j.cnsns.2010.10.013⟩. ⟨hal-00521041⟩
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