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February  2003, 3(1): 97-104. doi: 10.3934/dcdsb.2003.3.97

Center manifold of unstable periodic orbits of helium atom: numerical evidence

A. Carati 1,

1. 

Dipartimento di Matematica, Università degli studi di Milano, Via Saldini 50, 20133 Milano, Italy

Received  January 2002 Revised  June 2002 Published  November 2002

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.
Keywords: Center manifold, unstable periodic orbit..
Mathematics Subject Classification: 70F0.
Citation: A. Carati. Center manifold of unstable periodic orbits of helium atom: numerical evidence. Discrete & Continuous Dynamical Systems - B, 2003, 3 (1) : 97-104. doi: 10.3934/dcdsb.2003.3.97
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