Topological horseshoe analysis and circuit realization for a fractional-order LA14 system

The paper first discusses a newly reported fractional-order LA14 system of order as low as 2.7 and shows its chaotic characteristics by numerical simulations. Then by using the topological horseshoe theory and computer-assisted proof, the existence of chaos in the system is verified theoretically. F...

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Bibliographic Details
Published inNonlinear dynamics Vol. 74; no. 1; pp. 203 - 212
Main Authors Jia, Hong-Yan, Chen, Zeng-Qiang, Qi, Guo-Yuan
Format Journal Article
LanguageEnglish
Published 01.10.2013
Subjects
Chaos theory
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Summary:The paper first discusses a newly reported fractional-order LA14 system of order as low as 2.7 and shows its chaotic characteristics by numerical simulations. Then by using the topological horseshoe theory and computer-assisted proof, the existence of chaos in the system is verified theoretically. Finally, an analog hardware circuit is made for the fractional-order system, and the observed results demonstrate that the fractional-order LA14 system is chaotic in physical experiment.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ObjectType-Feature-1
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-0958-9