Browsing by Author "Sauzin, D."

Now showing items 1-7 of 7

    • Adiabatic invariant of the harmonic oscillator, complex matching and resurgence 

      Bonet Revés, Carles; Sauzin, D.; Martínez-Seara Alonso, M. Teresa; València Guitart, Marta (1997)
      Article
      Open Access
      The linear oscillator equation with a frequency depending slowly on time is used to test a method to compute exponentially small quantities. This work present the matching method in the complex plane as a tool to obtain ...

    • Exponentially small splitting of separatrices in the perturbed McMillan map 

      Martín, Pau; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2011-10)
      Article
      Open Access
      The McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic xed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. ...

    • Exponentially small splitting of separatrices in the perturbed McMillan map 

      Martínez-Seara Alonso, M. Teresa; Martín de la Torre, Pablo; Sauzin, D. (2009-12)
      Research report
      Open Access
      The McMillan map is a one-parameter family of integrable symplectic maps of the plane, for which the origin is a hyperbolic fixed point with a homoclinic loop, with small Lyapunov exponent when the parameter is small. ...

    • Resurgence in a Hamilton-Jacobi equation 

      Olivé, Carme; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2002)
      Article
      Open Access
      We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching. ...

    • Resurgence of inner solutions for perturbations of the McMillan map 

      Martín, Pau; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2011-09)
      Article
      Open Access
      Abstract. A sequence of \inner equations" attached to certain perturbations of the McMillan map was considered in [5], their solutions were used in that article to measure an exponentially small separatrix splitting. We ...

    • Resurgence of inner solutions for perturbations of the McMillan map 

      Martínez-Seara Alonso, M. Teresa; Sauzin, D.; Martín de la Torre, Pablo (2009-12)
      Research report
      Open Access
      A sequence of “inner equations” attached to certain perturbations of the McMillan map was considered in [MSS09], their solutions were used in that article to measure an exponentially small separatrix splitting. We prove ...

    • Two Examples of Resurgence 

      Olivé, Carme; Sauzin, D.; Martínez-Seara Alonso, M. Teresa (2003)
      Article
      Open Access
      This paper gives an account of two articles which illustrate the use of Resurgence theory for estimating the diference between two complex invariant manifolds associated with the area-preserving H?enon map for the first ...