Dynamic analysis and chaos of the 4D fractional-order power system
type: Item
instance of: scholarly article
title: Dynamic analysis and chaos of the 4D fractional-order power system
zbMATH Open document ID: 1474.34053
DOI: 10.1155/2014/534896
author: Qin Li
author: Fengyun Sun
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Now dealing with power system became the most important arts. In this paper we report the dynamic analysis of a fractional-order power system with parameter \(Q_1\). To the best know of our knowledge, that was the first report about bifurcation analysis of the fractional order power system. So first we discuss the dynamic analysis with different fractional order and different parameters. Furthermore we will establish its numerical simulations which are provided to demonstrate the feasibility and efficacy of our analysis.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 7022569
Wikidata QID: Q59039224
describes a project that uses: Sprott's Software
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/534896
OpenAlex ID: W2005323486
cites work: Chaos in a fractional order modified Duffing system
cites work: Chaos in fractional-order autonomous nonlinear systems.
cites work: On nonlinear control design for autonomous chaotic systems of integer and fractional orders
cites work: The uniqueness of positive solution for a singular fractional differential system involving derivatives
cites work: Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
cites work: The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
cites work: Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
cites work: Linear approximation of transfer function with a pole of fractional power
cites work: Analysis of fractional differential equations
cites work: Limitations of frequency domain approximation for detecting chaos in fractional order systems
cites work: A predictor-corrector approach for the numerical solution of fractional differential equations
cites work: Chaos in Chen's system with a fractional order
cites work: Chaotic attractors in incommensurate fractional order systems
cites work: BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ SYSTEM
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description: scientific article; zbMATH DE number 7022569