Asymptotic solutions and stability analysis for generalized non-homogeneous Mathieu equation
type: Item
instance of: scholarly article
title: Asymptotic solutions and stability analysis for generalized non-homogeneous Mathieu equation
zbMATH Open document ID: 1111.34036
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2006-11-15T00:00:00Z
review text: Periodic solutions of Mathieu's nonhomogeneous generalized equation are obtained by using asymptotic analysis. The transition curves for some special values of the governing parameters are presented. For the stability analysis of those transition curves, the multiple scale method is used. Analytical results are verified by numerical simulations.
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 5072622
zbMATH Keywords: Mathieu equation
zbMATH Keywords: asymptotic solution
zbMATH Keywords: stability analysis
zbMATH Keywords: transition curve
zbMATH Keywords: multiple scale method
zbMATH Keywords: strained parameter technique
author: Davood Younesian
author: E. Esmailzadeh
author: Ramin Sedaghati
reviewed by: I. V. Andrianov
MaRDI profile type: Publication
full work available at URL: j.cnsns.2006.01.005
OpenAlex ID: W1993324763
cites work: Q3851672
cites work: Stability Analysis Of The Non-Linear Mathieu Equation
cites work: Bifurcations in a Mathieu equation with cubic nonlinearities
cites work: Bifurcations in a Mathieu equation with cubic nonlinearities. II
cites work: Bursters and quasi-periodic solutions of a self-excited quasi-periodic Mathieu oscillator
cites work: Three-period quasi-periodic solutions in the self-excited quasi-periodic Mathieu oscillator
cites work: 2:2:1 resonance in the quasiperiodic Mathieu equation
cites work: Quasi-periodic solutions and stability for a weakly damped nonlinear quasi-periodic Mathieu equation
cites work: Global behavior of a nonlinear quasiperiodic Mathieu equation
cites work: Approximating the Escape Zone for the Parametrically Excited Pendulum
cites work: ZONES OF CHAOTIC BEHAVIOUR IN THE PARAMETRICALLY EXCITED PENDULUM
cites work: Rotating orbits of a parametrically-excited pendulum
cites work: Existence of periodic solutions for the generalized form of Mathieu equation
DOI: 10.1016/J.CNSNS.2006.01.005
description: scientific article; zbMATH DE number 5072622