Complex dynamics of the fractional-order Rössler system and its tracking synchronization control
type: Item
instance of: scholarly article
title: Complex dynamics of the fractional-order Rössler system and its tracking synchronization control
zbMATH Open document ID: 1407.34092
DOI: 10.1155/2018/4019749
author: Huihai Wang
author: Shaobo He
author: Kehui Sun
published in: Complexity
publication date: 2019-02-19T00:00:00Z
review text: Summary: Numerical analysis of fractional-order chaotic systems is a hot topic of recent years. The fractional-order Rössler system is solved by a fast discrete iteration which is obtained from the Adomian decomposition method (ADM) and it is implemented on the DSP board. Complex dynamics of the fractional-order chaotic system are analyzed by means of Lyapunov exponent spectra, bifurcation diagrams, and phase diagrams. It shows that the system has rich dynamics with system parameters and the derivative order \(q\). Moreover, tracking synchronization controllers are theoretically designed and numerically investigated. The system can track different signals including chaotic signals from the fractional-order master system and constant signals. It lays a foundation for the application of the fractional-order Rössler system.
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 7025153
describes a project that uses: Sprott's Software
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/4019749
OpenAlex ID: W2903332500
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description: scientific article; zbMATH DE number 7025153