Perturbed damped pendulum: finding periodic solutions
classification
🧮 math.DS
keywords
dampedpendulumperiodicsolutionsaveragingdynamicalperturbedsmall
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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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