A novel perturbation method to approximate the solution of nonlinear ordinary differential equation after being linearized to the Mathieu equation-Reference-Cited by-同舟云学术

A novel perturbation method to approximate the solution of nonlinear ordinary differential equation after being linearized to the Mathieu equation

Published:2022-10 Issue: Volume:178 Page:109261
ISSN:0888-3270
Container-title:Mechanical Systems and Signal Processing
language:en
Short-container-title:Mechanical Systems and Signal Processing

Author:

Liu Chein-Shan,Chang Chih-Wen^ORCID

Publisher

Elsevier BV

Subject

Computer Science Applications,Mechanical Engineering,Aerospace Engineering,Civil and Structural Engineering,Signal Processing,Control and Systems Engineering

Reference67 articles.

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3. Beyond Perturbation: Introduction to the Homotopy Analysis Method;Liao,2004

4. A simplified Lindstedt-Poincaré method for saving computational cost to determine higher order nonlinear free vibrations;Liu;Mathematics,2021

5. Periodic solutions of an unsymmetric oscillator including a comprehensive study of their stability characteristics;Donescu;J. Sound Vib.,1996

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