Chaotic motion in forced Duffing system subject to linear and nonlinear damping
type: Item
instance of: scholarly article
title: Chaotic motion in forced Duffing system subject to linear and nonlinear damping
zbMATH Open document ID: 1426.34055
DOI: 10.1155/2017/3769870
author: T.-P. Chang
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: This paper investigates the chaotic motion in forced Duffing oscillator due to linear and nonlinear damping by using Melnikov technique. In particular, the critical value of the forcing amplitude of the nonlinear system is calculated by Melnikov technique. Further, the top Lyapunov exponent of the nonlinear system is evaluated by Wolf's algorithm to determine whether the chaotic phenomenon of the nonlinear system actually occurs. It is concluded that the chaotic motion of the nonlinear system occurs when the forcing amplitude exceeds the critical value, and the linear and nonlinear damping can generate pronounced effects on the chaotic behavior of the forced Duffing oscillator.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 6972027
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3769870
OpenAlex ID: W2585197938
Wikidata QID: Q59147505
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description: scientific article; zbMATH DE number 6972027