The Generalized Averaging Method with Physics Applications

Authors

  • Alvaro H. Salas S. Fizmako Research Group, Universidad Nacional de Colombia, Colombia.

DOI:

https://doi.org/10.9734/bpi/mcscd/v1/12803F

Keywords:

Nonlinear oscillation, Van der Pol-Duc ng oscillator, averaging theory

Abstract

In this work, we consider the problem of solving strongly nonlinear oscillators making use of a generalized averaging method. We illustrate the efficacy of this method for the generalized Van der Pol-Duffing oscillator. We show that the amplitude of the limit cycle may be obtained by solving a quintic.

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Published

2024-07-20

How to Cite

Alvaro H. Salas S. (2024). The Generalized Averaging Method with Physics Applications. Mathematics and Computer Science: Contemporary Developments Vol. 1, 30–38. https://doi.org/10.9734/bpi/mcscd/v1/12803F

Issue

Mathematics and Computer Science: Contemporary Developments Vol. 1

Section

Chapters