Resurgence in a Hamilton-Jacobi equation

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 relati...

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Hauptverfasser:	Olivé, Carme, Sauzin, D, Martínez-Seara Alonso, M. Teresa
Format:	Artikel
Sprache:	eng
Schlagworte:	34 Ordinary differential equations 34M Differential equations in the complex domain 35 Partial differential equations 35F General first-order equations and systems 37 Dynamical systems and ergodic theory 37G Local and nonlocal bifurcation theory 37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems 70 Mechanics of particles and systems 70H Hamiltonian and Lagrangian mechanics Bifurcació, Teoria de la Bifurcation theory Classificació AMS Differential equations Equacions diferencials funcionals Equacions en derivades parcials Equacions en diferències Hamilton, Sistemes de Hamilton-Jacobi Equation Hamiltonian dynamical systems Hamiltonian systems Lagrange, Funcions de Lagrangian functions Partial differential equations
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Beschreibung
Zusammenfassung:	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.