An Extremely Simple Multiwing Chaotic System: Dynamics Analysis, Encryption Application, and Hardware Implementation

Polynomial functions have been the main barrier restricting the circuit realization and engineering application of multiwing chaotic systems (MWCSs). To eliminate this bottleneck, we construct a simple MWCS without polynomial functions by introducing a sinusoidal function in a Sprott C system. Theor...

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Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) Vol. 68; no. 12; pp. 12708 - 12719
Main Authors: Lin, Hairong, Wang, Chunhua, Yu, Fei, Xu, Cong, Hong, Qinghui, Yao, Wei, Sun, Yichuang
Format: Journal Article
Language:English
Published: New York IEEE 01.12.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Analog circuits
Bifurcation
Chaos theory
Chaotic communication
Chaotic system
Eigenvalues and eigenfunctions
Electronic components
Encryption
Entropy (Information theory)
Field programmable gate arrays
field-programmable gate array (FPGA) implementation
Functions (mathematics)
Histograms
image encryption
Mathematical model
multibutterfly attractor
multistability
nonlinear circuit
Polynomials
Sensitivity
ISSN:0278-0046, 1557-9948
Online Access:Get full text
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Summary:Polynomial functions have been the main barrier restricting the circuit realization and engineering application of multiwing chaotic systems (MWCSs). To eliminate this bottleneck, we construct a simple MWCS without polynomial functions by introducing a sinusoidal function in a Sprott C system. Theoretical analysis and numerical simulations show that the MWCS can not only generate multibutterfly attractors with an arbitrary number of butterflies, but also adjust the number of the butterflies by multiple ways including self-oscillating time, control parameters, and initial states. To further explore the advantage of the proposed MWCS, we realize its analog circuit using commercially available electronic elements. The results demonstrate that in comparison to traditional MWCSs, our circuit implementation greatly reduces the consumption of electronic components. This makes the MWCS more suitable for many chaos-based engineering applications. Furthermore, we propose an application of the MWCS to chaotic image encryption. Histogram, correlation, information entropy, and key sensitivity show that the simple image encryption scheme has a high security and reliable encryption performance. Finally, we develop a field-programmable gate array test platform to implement the MWCS-based image cryptosystem. Both theoretical analysis and experimental results verify the feasibility and availability of the proposed MWCS.
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ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2020.3047012