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Title:
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Two Examples of Resurgence
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Author:
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Olivé, Carme; Sauzin, D.; Martínez-Seara Alonso, M. Teresa
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-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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Rights:
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Document type:
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Article |
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