Chaos detection of Duffing system with fractional-order derivative by Melnikov method
type: Item
instance of: scholarly article
title: Chaos detection of Duffing system with fractional-order derivative by Melnikov method
zbMATH Open document ID: 1429.34041
DOI: 10.1063/1.5124367
author: Jiangchuan Niu
author: Ruyu Liu
author: Shaopu Yang
author: Yongjun Shen
published in: Chaos: An Interdisciplinary Journal of Nonlinear Science
publication date: 2020-02-03T00:00:00Z
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C28
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 7162175
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1063/1.5124367
OpenAlex ID: W2995410159
Wikidata QID: Q92362358
cites work: Chaos: concepts, control and constructive use
cites work: A necessary condition for double scroll attractor existence in fractional-order systems
cites work: Fractional-order nonlinear systems. Modeling, analysis and simulation
cites work: Fractional differentiation matrices with applications
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: Chaos in the fractional order periodically forced complex Duffing's oscillators
cites work: Chaos in Chen's system with a fractional order
cites work: BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ SYSTEM
cites work: A note on the fractional-order Chen system
cites work: Fractional-order complex T system: bifurcations, chaos control, and synchronization
cites work: Detecting early-warning signals in periodically forced systems with noise
cites work: Predicting noise-induced critical transitions in bistable systems
cites work: Limitations of frequency domain approximation for detecting chaos in fractional order systems
cites work: Chaos detection and parameter identification in fractional-order chaotic systems with delay
cites work: Detecting chaos in fractional-order nonlinear systems using the smaller alignment index
cites work: A method to stochastic dynamical systems with strong nonlinearity and fractional damping
cites work: A fractal roughness model for the transport of fractional non-Newtonian fluid in microtubes
cites work: Global bifurcations and chaos. Analytical methods
cites work: The Mel’nikov Technique for Highly Dissipative Systems
cites work: Stick-slip chaos detection in coupled oscillators with friction
cites work: Melnikov method for homoclinic bifurcation in nonlinear impact oscillators
cites work: Melnikov's method for a general nonlinear vibro-impact oscillator
cites work: The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate
cites work: Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications
cites work: The Melnikov method of heteroclinic orbits for a class of planar hybrid piecewise-smooth systems and application
cites work: Melnikov-Type Chaos of Planar Systems with Two Discontinuities
description: scientific article; zbMATH DE number 7162175