Differential equations, Formal solutions and transform techniques for ordinary differential equations in the complex domain, :37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory [Classificació AMS], Lagrange, Funcions de, Hamilton-Jacobi equations in mechanics, Equacions en diferències, Equacions diferencials funcionals, Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics, :35 Partial differential equations::35F General first-order equations and systems [Classificació AMS], Resurgence phenomena, :70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics [Classificació AMS], Bifurcation theory, Hamilton, Hamiltonian dynamical systems, and nonholonomic systems, Hamiltonian systems, Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems, Lagrangian, Asymptotics and summation methods for ordinary differential equations in the complex domain, Teoria de la, Bifurcació, Teoria de la, Classificació AMS::37 Dynamical systems and ergodic theory::37G Local and nonlocal bifurcation theory, Equacions en derivades parcials, :37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems [Classificació AMS], Bifurcació, Lagrange, Hamilton-Jacobi Equation, Hamilton-Jacobi equation, resurgence, Partial differential equations, Funcions de, Sistemes de, Classificació AMS::35 Partial differential equations::35F General first-order equations and systems, Classificació AMS::34 Ordinary differential equations::34M Differential equations in the complex domain, Hamilton, Sistemes de, Lagrangian functions, Borel summation, splitting of separatrices, Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, contact, :34 Ordinary differential equations::34M Differential equations in the complex domain [Classificació AMS]