An original numerical method is introduced for the calculation of orbits on the center manifold of an unstable periodic orbit. The method is implemented for some unstable periodic orbits of the helium atom, and the dynamics on the corresponding center manifold is exhibited.
Center manifold of unstable periodic orbits of helium atom: numerical evidence / A. Carati. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - 3:1(2003 Feb), pp. 97-104.
Center manifold of unstable periodic orbits of helium atom: numerical evidence
A. CaratiPrimo
2003
Abstract
An original numerical method is introduced for the calculation of orbits on the center manifold of an unstable periodic orbit. The method is implemented for some unstable periodic orbits of the helium atom, and the dynamics on the corresponding center manifold is exhibited.
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