Numerical evidence of Feigenbaum's number \(\delta\) in non-linear oscillations
type: Item
instance of: scholarly article
title: Numerical evidence of Feigenbaum's number \(\delta\) in non-linear oscillations
zbMATH Open document ID: 0766.65059
published in: Journal of Computational Physics
publication date: 1993-05-16T00:00:00Z
review text: The aim of this paper is to compute, to a high precision, the transition values of the specific parameter \(F\) at which period-doubling bifurcations take place. The differential equation which is involved is \(\ddot x(t)+0.1\dot x(t)+x(t)-x^ 2(t)=F\sin 0.85 t\). An iterative technique and numerical results are presented.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A55
zbMATH DE Number: 167086
zbMATH Keywords: nonlinear oscillations
zbMATH Keywords: Feigenbaum's number
zbMATH Keywords: Runge-Kutta method
zbMATH Keywords: iterative method
zbMATH Keywords: inverse problem
zbMATH Keywords: parameter identification
zbMATH Keywords: period- doubling bifurcations
zbMATH Keywords: numerical results
author: R. Van Dooren
author: Matthias Degroote
author: Hu. Jansen
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
full work available at URL: jcph.1993.1063
OpenAlex ID: W1999800172
DOI: 10.1006/JCPH.1993.1063
Recommended article: Numerical solutions for a coupled non-linear oscillator
Recommended article: Q4883431
Recommended article: Numerical studies of 2 -oscillatons
Recommended article: Q3369615
Recommended article: Numerical Characterization of the Chaotic Nonregular Dynamics of Pseudoelastic Oscillators
Recommended article: Observations on numerical method dependent solutions of a modified Duffing oscillator
Recommended article: Numerical analyses of the vibrational resonance occurrence in a nonlinear dissipative system
Recommended article: Q4231565
Recommended article: Properties of finite difference models of non-linear conservative oscillators
description: scientific article; zbMATH DE number 167086