![](/images/graphics-bg.png)
Chaos and Symbol Complexity in a Conformable Fractional-Order Memcapacitor System
Joint Authors
He, Shaobo
Yan, Bo
Banerjee, Santo
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Application of conformable fractional calculus in nonlinear dynamics is a new topic, and it has received increasing interests in recent years.
In this paper, numerical solution of a conformable fractional nonlinear system is obtained based on the conformable differential transform method.
Dynamics of a conformable fractional memcapacitor (CFM) system is analyzed by means of bifurcation diagram and Lyapunov characteristic exponents (LCEs).
Rich dynamics is found, and coexisting attractors and transient state are observed.
Symbol complexity of the CFM system is estimated by employing the symbolic entropy (SybEn) algorithm, symbolic spectral entropy (SybSEn) algorithm, and symbolic C0 (SybC0) algorithm.
It shows that pseudorandom sequences generated by the system have high complexity and pass the rigorous NIST test.
Results demonstrate that the conformable memcapacitor nonlinear system can also be a good model for real applications.
American Psychological Association (APA)
He, Shaobo& Banerjee, Santo& Yan, Bo. 2018. Chaos and Symbol Complexity in a Conformable Fractional-Order Memcapacitor System. Complexity،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1133991
Modern Language Association (MLA)
He, Shaobo…[et al.]. Chaos and Symbol Complexity in a Conformable Fractional-Order Memcapacitor System. Complexity No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1133991
American Medical Association (AMA)
He, Shaobo& Banerjee, Santo& Yan, Bo. Chaos and Symbol Complexity in a Conformable Fractional-Order Memcapacitor System. Complexity. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1133991
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133991