Browsing by Author "Sauzin, D."

Adiabatic invariant of the harmonic oscillator, complex matching and resurgence
Bonet Revés, Carles; Sauzin, D.; MartínezSeara Alonso, M. Teresa; València Guitart, Marta (1997)
Article
Open AccessThe 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
MartínezSeara Alonso, M. Teresa; Martín de la Torre, Pablo; Sauzin, D. (200912)
External research report
Open AccessThe McMillan map is a oneparameter 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. ... 
Exponentially small splitting of separatrices in the perturbed McMillan map
Martín, Pau; Sauzin, D.; MartínezSeara Alonso, M. Teresa (201110)
Article
Open AccessThe McMillan map is a oneparameter 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. ... 
Resurgence in a HamiltonJacobi equation
Olivé, Carme; Sauzin, D.; MartínezSeara Alonso, M. Teresa (2002)
Article
Open AccessWe study the resurgent structure associated with a HamiltonJacobi 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
MartínezSeara Alonso, M. Teresa; Sauzin, D.; Martín de la Torre, Pablo (200912)
External research report
Open AccessA 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 ... 
Resurgence of inner solutions for perturbations of the McMillan map
Martín, Pau; Sauzin, D.; MartínezSeara Alonso, M. Teresa (201109)
Article
Open AccessAbstract. 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 ... 
Two Examples of Resurgence
Olivé, Carme; Sauzin, D.; MartínezSeara Alonso, M. Teresa (2003)
Article
Open AccessThis 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 areapreserving H?enon map for the first ...