Resurgence in a Hamilton-Jacobi equation

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/892

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Olivé, Carme
dc.contributor.author	Sauzin, D.
dc.contributor.author	Martínez-Seara Alonso, M. Teresa
dc.date	2002
dc.identifier.uri	http://hdl.handle.net/2117/892
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject	Bifurcation theory
dc.subject	Hamiltonian systems
dc.subject	Partial differential equations
dc.subject	Differential equations
dc.subject	Hamiltonian dynamical systems
dc.subject	Lagrangian functions
dc.subject	Hamilton-Jacobi Equation
dc.subject	Bifurcació, Teoria de la
dc.subject	Hamilton, Sistemes de
dc.subject	Equacions en derivades parcials
dc.subject	Equacions diferencials funcionals
dc.subject	Equacions en diferències
dc.subject	Hamilton, Sistemes de
dc.subject	Lagrange, Funcions de
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory
dc.subject	Classificació AMS::34 Ordinary differential equations::34M Differential equations in the complex domain
dc.subject	Classificació AMS::35 Partial differential equations::35F General first-order equations and systems
dc.subject	Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
dc.subject	Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
dc.title	Resurgence in a Hamilton-Jacobi equation
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We 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. We derive the Bridge equation, which encompasses infinitely many resurgent relations satisfied by the formal solution and the other components of the formal integral.

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