Alexander Tovbis, University of Central Florida, U.S.A.

Exponential asymptotics, Stokes phenomenon and applications to nonlinear dynamics


I would like to present basic ideas of exponential asymptotics on a several simple examples (a linear and a nonlinear case), and show how these tools work in problems of exponentially small separatrix splitting and related questions (chaos-integrability transition, finite-differnce schemes, etc.)