Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit
Joint Authors
Sun, Kehui
Mou, Jun
Wang, Huihai
Ruan, Jingya
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Dynamical behaviors of the 4D hyperchaotic memristive circuit are analyzed with the system parameter.
Based on the definitions of fractional-order differential and Adomian decomposition algorithm, the numerical solution of fractional-order 4D hyperchaotic memristive circuit is investigated.
The distribution of stable and unstable regions of the fractional-order 4D hyperchaotic memristive circuit is determined, and dynamical characteristics are studied by phase portraits, Lyapunov exponents spectrum, and bifurcation diagram.
Complexities are calculated by employing the spectral entropy (SE) algorithm and C0 algorithm.
Complexity results are consistent with that of the bifurcation diagrams, and this means that complexity can also reflect the dynamic characteristics of a chaotic system.
Results of this paper provide a theoretical and experimental basis for the application of fractional-order 4D hyperchaotic memristive circuit in the field of encryption and secure communication.
American Psychological Association (APA)
Mou, Jun& Sun, Kehui& Wang, Huihai& Ruan, Jingya. 2017. Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1189801
Modern Language Association (MLA)
Mou, Jun…[et al.]. Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit. Mathematical Problems in Engineering No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1189801
American Medical Association (AMA)
Mou, Jun& Sun, Kehui& Wang, Huihai& Ruan, Jingya. Characteristic Analysis of Fractional-Order 4D Hyperchaotic Memristive Circuit. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1189801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189801