Mathematical Model and FPGA Realization of a Multi-Stable Chaotic Dynamical System with a Closed Butterfly-Like Curve of Equilibrium Points

Published on Jan 15, 2021in Applied Sciences
· DOI :10.3390/APP11020788
Aceng Sambas12
Estimated H-index: 12
Sundarapandian Vaidyanathan81
Estimated H-index: 81
+ 5 AuthorsMustafa Mamat15
Estimated H-index: 15
Hyper-chaotic systems can exhibit a higher level of complexity in comparison with the chaotic systems. However, they require more resources when they are realized on a modular field-programmable gate array (FPGA). In this paper, we introduce full hardware/software comparison and security analysis of three-dimensional chaotic and four-dimensional hyper-chaotic oscillator systems. The two systems (previously implemented only in analog form) are realized on a modular FPGA hardware platform to gener...
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Last. Eleonora Bilotta (University of Calabria)H-Index: 19
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Abstract In this paper we use the method of supertracks to study two attractors: the first, called PC8, is generated by Chua’s oscillator and the second is produced by Chua’s circuit equipped with a memristor. In both cases we study in particular the bifurcation maps obtained by varying the control parameters of the circuit one each time and, after applying a discretizing model expressly designed for the purpose, we employ Runge-Kutta methods to get numerical integrations that allow us to descri...
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#1Yong Zhang (Jiangxi University of Finance and Economics)H-Index: 3
Abstract Image encryption is one of the most effective means to ensure the security of image information in network communications. A new unified image encryption system with identical encryption and decryption algorithms was proposed in this paper. In this system, an external key and the Henon map are used to generate the equivalent secret keys. Then, a kind of lifting-like transformation is employed to diffuse the image information to fulfill the image encryption. On the computer configured wi...
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Abstract Chaotic systems are suitable for image encryption owing to their numerous intrinsic characteristics. However, chaotic maps and algorithmic structures employed in many existing chaos-based image encryption algorithms exhibit various shortcomings. To overcome these, in this study, we first construct a two-dimensional logistic tent modular map (2D-LTMM) and then develop a new colour image encryption algorithm (CIEA) using the 2D-LTMM, which is referred to as the LTMM-CIEA. Compared with th...
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Abstract The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua’s system with a special Chua’s diode. But designing such physical Chua’s circuit is a challenging task due to the distinct slopes of Chua’s diode. In this paper, a modified Chua’s circuit is implemented using a 5-segment piecewise-linear Chua’s diode. In particular, the coexisting phenomena of hidden attractors and three point attractors are noticed in the entire period-doubling bifurcation route....
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There are various ways of social communication including writing (WhatsApp, Messenger, Facebook, Twitter, Skype, etc), calling (mobile phone) and voice recording (record your voice and then send it to the other party), but there are ways to eavesdropping the calls and voice messages, One way to solve this problem is via cryptographic approach. Chaos cryptography build on top of nonlinear dynamics chaotic system has gained some footstep in data security. It provides an alternative to conventional...
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Abstract This paper presents a secure communication system based on chaos synchronization using brain emotional learning-based intelligent controller (BELBIC). Uncertainties, including parametric uncertainties and external disturbances are approximated using emotional learning. The obtained estimation is used in the controller or observer to apply appropriate input to the receiver to synchronize the chaotic signals of transmitter and receiver. The proposed system can effectively reduce the synch...
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Abstract In order to improve the engineering feasibility of the memristive cellular neural network, a new memristor model with the smooth characteristic curve is designed. Based on the new memristor model, a new four-dimensional chaotic memristive cellular neural network (CNN) system is constructed, and its chaotic dynamic behaviors are analyzed. It can be applied to the secure communication based on the chaos synchronization control. Because both the external disturbances and uncertainties of i...
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Abstract In this study, a new chaotic system and its analog circuit design have been introduced. The circuit of chaotic system has only a memristor, an inductor, a capacitor and a negative resistor. The proposed memristor emulator circuit is based on Operational Transconductance Amplifier (OTA) and it consists of multipliers, resistors, a capacitor and a current conveyor apart from OTAs. We have shown the chaotic behavior of our system with both numerical analyses done in MATLAB environment and ...
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In this paper, a new fractional order chaotic system without equilibrium is proposed, analytically and numerically investigated, and numerically and experimentally tested. The analytical and numerical investigations were used to describe the system’s dynamical behaviors including the system equilibria, the chaotic attractors, the bifurcation diagrams, and the Lyapunov exponents. Based on the obtained dynamical behaviors, the system can excite hidden chaotic attractors since it has no equilibrium...
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