• Exponentially small estimates for KAM theorem near an elliptic equilibrium point 

      Delshams Valdés, Amadeu; Gutiérrez Serrés, Pere (1997)
      Article
      Accés obert
      We give a precise statement of KAM theorem for a Hamiltonian system in a neighborhood of an elliptic equilibrium point. If the frequencies of the elliptic point satisfy a Diophantine condition, with exponent $\tau$, and ...
    • Invariant curves for area preserving maps 

      Wang, Chanyan (Universitat Politècnica de Catalunya, 2019-07)
      Projecte Final de Màster Oficial
      Accés obert
      This work aims to present tool of this approach is the so-called parameterization method, that produces a Newton-like iterative method to solve the invariance equation for an invariant torus, and the KAM theorem is a result ...
    • Teoria Kam Sin Coordenadas Accion-Angulo 

      González, Alejandra; Jorba, Angel; Llave Canosa, Rafael de la; Villanueva Castelltort, Jordi (2001)
      Article
      Accés obert
      The classical KAM methods, strongly supported on the use of canonical trans- formations in the action-angle context, are not effcient to be applied to a wide range of systems in which the Hamiltonian is known (for instance) ...