The Duffing Oscillator Equation and Its Applications in Physics-Reference-Cited by-同舟云学术

The Duffing Oscillator Equation and Its Applications in Physics

Published:2021-11-30 Issue: Volume:2021 Page:1-13
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Salas Salas Alvaro Humberto¹^ORCID,Castillo Hernández Jairo Ernesto²^ORCID,Martínez Hernández Lorenzo Julio³⁴^ORCID

Affiliation:

1. Universidad Nacional de Colombia, Department of Mathematics and Statistics, Fizmako Research Group, Bogotá, Colombia

2. Universidad Distrital Francisco José de Caldas, Fizmako Research Group, Bogotá, Colombia

3. Universidad Nacional de Colombia-Manizales-Caldas, Department of Mathematics and Statistics, Caldas, Colombia

4. Universidad de Caldas, Department of Mathematics and StatisticsManizales, Caldas, Colombia

Abstract

In this paper, we solve the Duffing equation for given initial conditions. We introduce the concept of the discriminant for the Duffing equation and we solve it in three cases depending on sign of the discriminant. We also show the way the Duffing equation is applied in soliton theory.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/9994967.pdf

Reference18 articles.

1. The Duffing Equation

2. An Introduction to Dynamical Systems and Chaos

3. A qualitative study of the damped duffing equation and applications

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