Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods
type: Item
instance of: scholarly article
title: Analysis of highly nonlinear oscillation systems using He's max-min method and comparison with homotopy analysis and energy balance methods
zbMATH Open document ID: 1206.34023
author: Sumit K. Garg
published in: Sādhanā
publication date: 2010-11-03T00:00:00Z
full work available at URL: https://www.ias.ac.in/describe/article/sadh/035/04/0433-0448
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 5809960
zbMATH Keywords: min-max method
zbMATH Keywords: nonlinear oscillation
zbMATH Keywords: Duffing equation
zbMATH Keywords: homotopy analysis method
zbMATH Keywords: He's energy balance method
MaRDI profile type: Publication
OpenAlex ID: W2034662174
cites work: Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations
cites work: A new perturbative approach to nonlinear problems
cites work: Solution of free vibration equations of beam on elastic soil by using differential transform method
cites work: The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
cites work: Application of amplitude-frequency formulation to nonlinear oscillation system of the motion of a rigid rod rocking back
cites work: Q3628051
cites work: Modified Lindsted-Poincare Methods For Some Strongly Nonlinear Oscillations Part III : Double Series Expansion
cites work: A note on delta-perturbation expansion method
cites work: Modified Lindstedt-Poincaré methods for some strongly nonlinear oscillations. I: Expansion of a constant
cites work: The homotopy perturbation method for nonlinear oscillators with discontinuities.
cites work: Some new approaches to the Duffing equation with strongly and high-order nonlinearity. II: Parametrized perturbation technique
cites work: Variational approach for nonlinear oscillators
cites work: Application of He Chengtian's interpolation to Bethe equation
cites work: Variational iteration method -- a kind of non-linear analytical technique: Some examples
cites work: An analytical approach to investigate the response and stability of Van der Pol-Mathieu-Duffing oscillators under different excitation functions
cites work: Analytical solution for van der Pol-Duffing oscillators
cites work: Newton-harmonic balancing approach for accurate solutions to nonlinear cubic-quintic duffing oscillators
cites work: Application of He's energy balance method to Duffing-harmonic oscillators
cites work: Determination of periodic solution for a \(u^{1/3}\) force by He's modified Lindstedt-Poincaré method
cites work: The max-min approach to a relativistic equation
cites work: Q3628063
cites work: Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations
cites work: Nonlinear oscillator with discontinuity by the max-min approach
DOI: 10.1007/S12046-010-0024-Y
description: scientific article; zbMATH DE number 5809960