Perturbed damped pendulum: finding periodic solutions

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...

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Veröffentlicht in:arXiv.org 2012-12
1. Verfasser: Novaes, Douglas Duarte
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical systems
Mathematics - Dynamical Systems
Pendulums
Perturbation
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1112.2129