Exploració per autor "Sauzin, D."
Ara es mostren els items 2-7 de 7
-
Exponentially small splitting of separatrices in the perturbed McMillan map
(2009-12)
Report de recerca
Accés obertThe 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. ... -
Exponentially small splitting of separatrices in the perturbed McMillan map
(2011-10)
Article
Accés obertThe 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. ... -
Resurgence in a Hamilton-Jacobi equation
(2002)
Article
Accés obertWe 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
(2011-09)
Article
Accés obertAbstract. 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
(2009-12)
Report de recerca
Accés obertA 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
(2003)
Article
Accés obertThis 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 ...
