The nonlinear chaotic model reconstruction for the experimental data obtained from different dynamic system
type: Item
instance of: scholarly article
title: The nonlinear chaotic model reconstruction for the experimental data obtained from different dynamic system
zbMATH Open document ID: 0984.37112
DOI: 10.1007/BF02463789
author: Junhai Ma
author: Yushu Chen
author: Zengrong Liu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2002-05-14T00:00:00Z
review text: This paper is devoted to the characteristic of nonlinear chaotic model, more precisely, the authors show: 1) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of limit circle, periodic orbit, quasiperiodic torus or strange attractor, 2) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of resonance and leap, 3) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of amplitude and frequency dependent upon each other, 4) suitable parametric adaptive control for this model can describe the nonlinear vibration phenomenon of bifurcation and chaos.
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 93C40
zbMATH DE Number: 1417782
zbMATH Keywords: adaptive control
zbMATH Keywords: vibration phenomenon
zbMATH Keywords: bifurcation
zbMATH Keywords: chaos
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Threshold value for diagnosis of chaotic nature of the data obtained in nonlinear dynamic analysis
cites work: Determining Lyapunov exponents from a time series
cites work: Predicting chaotic time series with wavelet networks
cites work: Reconstructing attractors from filtered time series
cites work: Distortions of reconstruction for chaotic attractors
description: scientific article; zbMATH DE number 1417782