Chaos generated by switching fractional systems
type: Item
instance of: scholarly article
title: Chaos generated by switching fractional systems
zbMATH Open document ID: 1264.34016
DOI: 10.1155/2012/601309
author: Qin Xue
author: Xingyuan Wang
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We investigate the basic behaviours of a chaotic switching fractional system via both theoretical and numerical ways. To deeply understand the mechanism of the chaos generation, we also analyse the parameterization of the switching fractional system and the dynamics of the system's trajectory. Then we try to write down some detailed rules for designing chaotic or chaos-like systems by switching fractional systems, which can be used in the future application. At last, for the first time, we proposed a new switching fractional system, which can generate three attractors with the positive largest Lyapunov exponent.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 6173415
Wikidata QID: Q58912259
describes a project that uses: Sprott's Software
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/601309
OpenAlex ID: W1980790101
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description: scientific article; zbMATH DE number 6173415