Exploració per tema "Classificació AMS::34 Ordinary differential equations::34M Differential equations in the complex domain"
Ara es mostren els items 1-8 de 8
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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. ... -
Extremal p-adic L-functions
(Multidisciplinary Digital Publishing Institute (MDPI), 2021-01-25)
Article
Accés obertIn this note, we propose a new construction of cyclotomic p-adic L-functions that are attached to classical modular cuspidal eigenforms. This allows for us to cover most known cases to date and provides a method which is ... -
Non-integrability of some few body problems in two degrees of freedom
(2008-11-16)
Article
Accés obertThe basic theory of Differential Galois and in particular Morales--Ramis theory is reviewed with focus in analyzing the non--integrability of various problems of few bodies in Celestial Mechanics. The main theoretical ... -
Psi-series, singularities of solutions and integrability of polynomial systems
(1996)
Article
Accés obertPsi-series (i.e., logarithmic series) of $m$-dimensional polynomial systems are considered. Its existence and convergence is studied, and an algorithm of location of logarithmic singularities is developed. Moreover, ... -
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 ... -
Teoría de Galois diferencial: una aproximación
(2007)
Article
Accés obertEn este artículo presentamos una descripción básica de la teoría de Galois diferencial, también conocida como teoría de Picard - Vessiot. Empezamos comparando la versión clásica de la teoría de Galois con la versión ... -
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 ...