A new multi-scroll Chua’s circuit with composite hyperbolic tangent-cubic nonlinearity: Complex dynamics,Hardware implementation and Image encryption application |
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| Affiliation: | 1. Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi''an 710123, PR China;2. Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., Tehran 15875-4413, Iran;3. Center for Nonlinear Dynamics, Institute of Research and Development, Defence University, Ethiopia;5. Department of Computer Science and Engineering, University of Kurdistan-Hewler, Iraq;7. Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar;1. Unité de Recherche de Laboratoire d''Automatique et Informatique Appliquée (LAIA), Department of Electrical Engineering, IUT-FV Bandjoun, University of Dschang, Cameroon;2. Unité de Recherche de Matière Condensée, d''Electronique et de Traitement du Signal, Department of Physics, University of Dschang, Dschang P.O. Box 67, Cameroon;3. Department of Physics, Faculty of Sciences, University of Douala, Cameroon |
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| Abstract: | In this paper, a new method for generating multi-scroll chaotic attractors via constructing a compound hyperbolic tangent-cubic nonlinear function in canonical Chua’s circuit is presented. The basic dynamic characteristics of the system are analyzed, including equilibrium points, bifurcation diagrams, Lyapunov exponents, phase portraits, time-domain diagrams and attractive basins. What is surprising is that the proposed multi-scroll Chua’s circuit also exhibits rich dynamic behaviors like coexisting multiple attractors, transient period, intermittent chaos and offset boosting. In addition, we put forward the application of the system in chaotic image encryption, and analyzed some security performance evaluation indexes to show that the new Chua’s chaotic cipher system has high security and reliable encryption performance. Finally, the hardware design and experiments of the chaotic digital circuits and image encryption are carried out. Both numerical simulation and FPGA experimental results verify the feasibility and usability of the proposed new multi-scroll Chua’s system. |
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| Keywords: | Multi-scroll Chua’s circuit Coexisting multiple attractors Intermittent chaos Offset boosting FPGA Image encryption |
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