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Two Examples of Resurgence
Olivé, Carme; Sauzin, D.; Martínez-Seara Alonso, M. Teresa
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
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 one, and with a Hamiltonian system which stems from the rapidly forced pendulum for the second one.
Peer Reviewed
Differential equations
Resurgence
Divergent series
Asymptotic calculus
Splitting of separatrices
Hyperbolic singular point
Homoclinic trajectories
Equacions diferencials ordinàries
Equacions diferencials funcionals
Equacions en diferències
Classificació AMS::34 Ordinary differential equations::34M Differential equations in the complex domain
Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
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