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Chaos Generated by Switching Fractional Systems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We, for the first time, 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.
American Psychological Association (APA)
Xing-Yuan, Wang& Xue, Qin. 2012. Chaos Generated by Switching Fractional Systems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029638
Modern Language Association (MLA)
Xing-Yuan, Wang& Xue, Qin. Chaos Generated by Switching Fractional Systems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1029638
American Medical Association (AMA)
Xing-Yuan, Wang& Xue, Qin. Chaos Generated by Switching Fractional Systems. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1029638
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029638