The Elusive Liapunov Periodic Solutions

• Kenneth R. Meyer ^[1] ; Jesús F. Palacián ^[2] ; Patricia Yanguas ^[2]
  1. [1] University of Cincinnati

     University of Cincinnati

     City of Cincinnati, Estados Unidos

     
  2. [2] Universidad Pública de Navarra

     Universidad Pública de Navarra

     Pamplona, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 14, Nº 2, 2015 (Ejemplar dedicado a: Hamiltonian Systems and Celestial Mechanics, HAMSYS-2014), págs. 381-401
• Idioma: inglés
• DOI: 10.1007/s12346-015-0134-3
• Texto completo no disponible (Saber más ...)
• Resumen

  • We illustrate the use of regular and singular reduction methods in conjunction with classical perturbation theory to find periodic solutions of Hamiltonian systems. In particular, we use these methods to find families of periodic solutions when the classical Liapunov center theorem fails due to a resonance.