Nonlinear stability near a 1:3 resonance

• Víctor Lanchares Barrasa ^[1] ; Ana Isabel Pascual Lería ^[1]
  1. [1] Universidad de La Rioja

     Universidad de La Rioja

     Logroño, España

     
• Localización: Ninth international conference Zaragoza-Pau on applied mathematics and statistics: Jaca (Spain). September 19-21, 2005 / coord. por Monique Madaune-Tort, 2006, ISBN 84-7733-871-X, págs. 137-144
• Idioma: inglés
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• Resumen

  • 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