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Perturbed damped pendulum: finding periodic solutions

Using the damped pendulum system we introduce the averaging method to study the periodic solutions of a dynamical system with small perturbation. We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non--linear perturbed damped pendulum. The averaging theory provides a useful means to study dynamical systems, accessible to Master and PhD students.

preprint2012arXivOpen access
Douglas Duarte Novaes
math.DS
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Douglas Duarte Novaes

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