Application of coupled map lattice with parameter q in image encryption |
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| Affiliation: | 1. State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, 100084 China;2. Beijing Advanced Innovation Center for Imaging Technology, Capital Normal University, Beijing, 100048 China;3. School of Mechanical Engineering, Purdue University, West Lafayette, IN, 47907 USA;4. Ingram School of Engineering, Texas State University, San Marcos, TX, 78746 USA;1. CEA, DEN, DTEC, SGCS, F-30207 Bagnols-sur-Cèze, France;2. CEA, DEN, DTEC, SEPE, F-30207 Bagnols-sur-Cèze, France;3. Aix-Marseille Université, CNRS, IUSTI, UMR 7343, 13453 Marseille Cedex 13, France;1. Faculty of Technical Sciences, Kosovska Mitrovica, University of Priština, Kneza Milosa 7, 38 220 Kosovska Mitrovica, Serbia;2. Faculty of Engineering, University of Kragujevac, Sestre Janic 6, 34 000, Kragujevac, Serbia;1. National Laboratory for Scientific Computing, 333 Getúlio Vargas Avenue, Quitandinha, Petrópolis, RJ 25651-075, Brazil;2. Oswaldo Cruz Foundation, Rio de Janeiro, RJ, Brazil;3. Institute of Astronomy, Geophysics and Atmospheric Sciences, University of São Paulo, SP, Brazil;4. Federal University of Juiz de Fora, Juiz de Fora, MG, Brazil;1. University of Science and Technology of China, CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, Hefei, 230027 China;2. Peking University School and Hospital of Stomatology, Department of Oral and Maxillofacial Surgery, Beijing, 100081 China;3. Shandong University, School of Control Science and Engineering, Jinan, 250061 China;4. Medical Devices Unit, DCPB, NHS Greater Glasgow and Clyde, Glasgow, UK |
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| Abstract: | In this paper, a novel coupled map lattice (CML) with parameter q is applied to image encryption to get higher security. The CML with parameter q is provided with Euler method and Adams–Bashforth–Moulton predictor–corrector method. In the new CML, dynamical properties are improved because the coupled strength can decrease the periodic dynamical behaviors which are caused by finite-precision. What's more, the CML changes system parameters from one-dimensional to two-dimensional. Two-dimensional parameters and coupling strengths provide researchers a possibility to improve the performance in image encryption. Finally, from numerical simulation results, it can be found that the CML improves the effectiveness and security. |
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| Keywords: | Image encryption Coupled map lattice Bifurcation Predictor–corrector Fractional calculus |
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