Nonlinear stability near a 1:3 resonance

  1. Pascual Lería, Ana Isabel 1
  2. Lanchares Barrasa, Víctor 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Libro:
Ninth international conference Zaragoza-Pau on applied mathematics and statistics: Jaca (Spain). September 19-21, 2005
  1. Madaune-Tort, Monique (coord.)

Editorial: Seminario Matemático "García de Galdeano" ; Universidad de Zaragoza

ISBN: 84-7733-871-X

Año de publicación: 2006

Páginas: 137-144

Congreso: Jornadas Zaragoza-Pau de Matemática Aplicada y Estadística (9. 2005. Jaca)

Tipo: Aportación congreso

DIALNET GOOGLE SCHOLAR

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

Fuente de los datos: Dialnet