Nonlinear stability near a 1:3 resonance
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Universidad de La Rioja
info
- Madaune-Tort, Monique (coord.)
Éditorial: Seminario Matemático "García de Galdeano" ; Universidad de Zaragoza
ISBN: 84-7733-871-X
Année de publication: 2006
Pages: 137-144
Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (9. 2005. Jaca)
Type: Communication dans un congrès
Résumé
In this paper we investigate the evolution of the stability domain for a two degrees of freedom Hamiltonian system near a 1:3 resonance. In this way, it is proven that the lost of stability takes place when the size of the stability domain goes to zero. In fact, away of the 1:3 resonance, there always exists a stability domain which size diminishes as we approach the exact value of the resonance