A New Approach for Solving the Complex Cubic-Quintic Duffing Oscillator Equation for Given Arbitrary Initial Conditions
Joint Authors
Casanova Trujillo, Simeón
Salas, Alvaro H.
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The nonlinear differential equation governing the periodic motion of the one-dimensional, undamped, and unforced cubic-quintic Duffing oscillator is solved exactly, providing exact expressions for the period and the solution.
The period as well as the exact analytic solution is given in terms of the famous Weierstrass elliptic function.
An integrable case of a damped cubic-quintic equation is presented.
Mathematica code for solving both cubic and cubic-quintic Duffing equations is given in Appendix at the end.
American Psychological Association (APA)
Salas, Alvaro H.& Casanova Trujillo, Simeón. 2020. A New Approach for Solving the Complex Cubic-Quintic Duffing Oscillator Equation for Given Arbitrary Initial Conditions. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1194858
Modern Language Association (MLA)
Salas, Alvaro H.& Casanova Trujillo, Simeón. A New Approach for Solving the Complex Cubic-Quintic Duffing Oscillator Equation for Given Arbitrary Initial Conditions. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1194858
American Medical Association (AMA)
Salas, Alvaro H.& Casanova Trujillo, Simeón. A New Approach for Solving the Complex Cubic-Quintic Duffing Oscillator Equation for Given Arbitrary Initial Conditions. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1194858
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194858
