Suppressing chaos of Duffing-Holmes system using random phase
type: Item
instance of: scholarly article
title: Suppressing chaos of Duffing-Holmes system using random phase
zbMATH Open document ID: 1213.34075
DOI: 10.1155/2011/538202
author: Li Longsuo
published in: Mathematical Problems in Engineering
publication date: 2011-06-07T00:00:00Z
full work available at URL: https://eudml.org/doc/225834
review text: Summary: The effect of random phase for Duffing-Holmes equation is investigated. We show that as the intensity of random noise properly increases the chaotic dynamical behavior will be suppressed by the criterion of top Lyapunov exponent, which is computed based on the Khasminskii's formulation and the extension of Wedig's algorithm for linear stochastic systems. Then, the obtained results are further verified by the Poincaré map analysis, phase plot, and time evolution on dynamical behavior of the system, such as stability, bifurcation, and chaos. Thus excellent agrement between these results is found.
Mathematics Subject Classification ID: 34H10
zbMATH DE Number: 5904900
Wikidata QID: Q58693193
MaRDI profile type: Publication
OpenAlex ID: W2045569584
cites work: Controlling chaos
cites work: Q4217274
cites work: Feedback Anticontrol of Discrete Chaos
cites work: Taming chaotic dynamics with weak periodic perturbations
cites work: Chaos control by nonfeedback methods in the presence of noise
cites work: Lyapunov exponent and chaos of Duffing's equation perturbed by white noise
cites work: Effect of bounded noise on chaotic motion of Duffing oscillator under parametric excitation
cites work: Chaos control by harmonic excitation with proper random phase
cites work: Suppressing chaos of a complex Duffing's system using a random phase
cites work: Q3061589
cites work: On a complex Duffing system with random excitation
cites work: Q5574410
cites work: Chaos and routes to chaos in coupled Duffing oscillators with multiple degrees of freedom
cites work: Resonances of a harmonically forced Duffing oscillator with time delay state feedback
cites work: Q5646734
description: scientific article; zbMATH DE number 5904900