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Equadiff 2003 - International Conference on Differential Equations
July 22-26, 2003
LUC Diepenbeek
Hasselt, Belgium

Organizers
Freddy Dumortier (Chair, LUC Diepenbeek), Henk Broer (Univ. Groningen), Jean-Pierre Gossez (Univ. Libre Bruxelles), Jean Mawhin (Univ. Cath. Louvain-la-Neuve), Andre Vanderbauwhede (Univ. Gent), Sjoerd Verduyn Lunel (Univ. Leiden)

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Stability and bifurcation behavior of the figure eight solution of the three body problem
by
Jorge Galan-Vioque
Universidad de Sevilla
Coauthors: F. J. Muņoz-Almaraz, E. Freire, E. J. Doedel, A. Vanderbauwhede

We analyze the bifurcation behavior of a recently discovered solution of the three body problem that in real space resembles the shape of an eight. By means of numerical continuation we investigate the local and global bifurcation behavior of this remarkable orbit and its connections to other solutions. We also address the problem of the stability properties of the real minimizer of the action by studying the second variation of the functional. This study is a benchmark for a more general scheme to continue periodic orbits and relative periodic orbits in symmetric Hamiltonian systems.

Date received: June 12, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calt-10.