Analytical Solution to a Class of Truly Nonlinear Oscillators

Authors

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

DOI:

https://doi.org/10.9734/bpi/rumcs/v4/2957G

Keywords:

Nonlinear oscillator, truly nonlinear oscillator, duffing equation

Abstract

We introduce new techniques for solving truly nonlinear oscillators. We give approximate expressions for their period. Using this period we find approximate analytical solutions using both trigonometric and jacobian functions. The results are illustrated with concrete examples.

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Published

2024-04-11

How to Cite

Alvaro H. Salas S. (2024). Analytical Solution to a Class of Truly Nonlinear Oscillators. Research Updates in Mathematics and Computer Science Vol. 4, 10–16. https://doi.org/10.9734/bpi/rumcs/v4/2957G

Issue

Research Updates in Mathematics and Computer Science Vol. 4

Section

Chapters