Work

Physical conditions in the analytical solution on the Mathieu equation

Year: 2024

Type: article

Abstract: The study aims to analyze the Mathieu equation associated with linear systems under properties, use the one-dimensional Floquet theorem and explain the behavior of the solutions of the Mathieu equation and function relating to the Hill equation together with the theory of disturbances. The most common mathematical problem in physics is finding solutions to certain second-order differential equations subject to boundary conditions. A hypothetical deductive approach method, handling qualitative equations of mathematical physics, was adopted in review. With Mathieu's equation, the existence of the physical conditions that influence the value of the parameters that define the equation were answered. It is important due to its usefulness in the field of analytical and mechanical dynamics, physical systems subjected to parametric excitation; In addition, it leaves other variations open for new applications.

Source: LATAM Revista Latinoamericana de Ciencias Sociales y Humanidades

DOI: 10.56712/latam.v5i6.3112

Authors: Alberto Gutiérrez Borda, Orlando Berrocal Navarro, Ricardo Cavero Donayre

Institution: Universidad Nacional San Luis Gonzaga

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405137446

FWCI:

Cites: 15

Cited by:

Related to: 10