Work

Perturbed damped pendulum: finding periodic solutions via averaging method

Year: 2013

Type: article

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

Source: Revista Brasileira de Ensino de Física

DOI: 10.1590/s1806-11172013000100014

Author: Douglas D. Novaes

Institution: Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Fundação de Amparo à Pesquisa do Estado de São Paulo

Award: G3050481814