Fractional-order chaotic systems

Authors:
Ivo Petráš;Dagmar Bednárová
Affiliations:
Institute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, Košice, Slovak Republic;Institute of Control and Informatization of Production Processes, BERG Faculty, Technical University of Košice, Košice, Slovak Republic
Venue:
ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
Year:
2009

Citing 3
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Abstract

This contribution deals with the fractional-order chaotic systems. A survey of the chaotic systems, where total order of the system is less than 3 is presented. With using a fractional derivative a chaos can be observed in such system in spite of usual notation that chaos can occur in system with order 3 and more. A numerical method for strange attractors computation is presented as well.