02-467 Carme Olive,David Sauzin,Tere M.Seara

Resurgence in a Hamilton-Jacobi Equation (916K, Postscript) Nov 16, 02

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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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