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arXiv · 1112.2129

Perturbed damped pendulum: finding periodic solutions

Douglas Duarte Novaes
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Abstract

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.

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Douglas Duarte Novaes. 2011-12-09. Perturbed damped pendulum: finding periodic solutions. https://doi.org/10.1590/s1806-11172013000100014

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