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Nonlinear dynamical systems, sinchronization, maps, differential equations and applications

Abstract

To extend results of the Classic Theory of Nonlinear Oscillations by using wavelets. To study perturbation of equilibrium and to extend the Averaging Method t infinite dimensions. To study Lyapunov Stability for flows in infinite dimensions. To extend the Uniform Invariance Principle to infinite dimensions. Use synchronization and wavelets in Communication Systems. (AU)

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