An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation
type: Item
instance of: scholarly article
title: An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation
zbMATH Open document ID: 1329.37051
author: Keguan Zou
author: Satish Nagarajaiah
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2016-01-26T00:00:00Z
full work available at URL: http://hdl.handle.net/1911/77438
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 6535602
zbMATH Keywords: symmetry-breaking bifurcation
zbMATH Keywords: period-doubling bifurcation
zbMATH Keywords: homotopy analysis method
zbMATH Keywords: analytical approximation
describes a project that uses: BVPh
MaRDI profile type: Publication
OpenAlex ID: W2062740016
cites work: Q5682682
cites work: Q3895818
cites work: Q4096019
cites work: Q3995520
cites work: A New Approach to Nonlinear Oscillations
cites work: Homotopy Analysis Method in Nonlinear Differential Equations
cites work: Harmonic balance analysis of period-doubling bifurcations with implications for control of nonlinear dynamics
cites work: Analysis of stability and bifurcations of limit cycles in Chua's circuit through the harmonic-balance approach
cites work: Unstable and Stable Period-m Motions in a Twin-well Potential Duffing Oscillator
cites work: ANALYTICAL DYNAMICS OF PERIOD-m FLOWS AND CHAOS IN NONLINEAR SYSTEMS
cites work: Analytical Routes of Period-1 Motions to Chaos in a Periodically Forced Duffing Oscillator with a Twin-well Potential
cites work: A perturbation method for certain nonlinear oscillators
cites work: On the multi-scale analysis of strongly nonlinear forced oscillators
cites work: A modified Lindstedt-Poincaré method for certain strongly non-linear oscillators
cites work: Notes on the homotopy analysis method: some definitions and theorems
cites work: An optimal homotopy-analysis approach for strongly nonlinear differential equations
cites work: Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
cites work: Q4885523
cites work: Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator
cites work: Toward Analytical Chaos in Nonlinear Systems
DOI: 10.1016/J.CNSNS.2014.08.015
description: scientific article; zbMATH DE number 6535602