A new hyperchaotic system and its circuit implementation |
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| Affiliation: | 1. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran;2. Center for Nonlinear Dynamics, Defence University, Ethiopia;3. Laboratoired''Automatique et Informatique Appliquée (LAIA), Department of Electrical Engineering, IUT-FV Bandjoun, University of Dschang, Cameroon;4. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;1. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, China;2. Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters, Nanjing University of Information Science & Technology, Nanjing 210044, China;3. Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA;4. Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, Lodz 90-924, Poland;1. INAOE, Luis Enrique Erro No. 1. Tonantzintla, Puebla, 72840 México;2. CINVESTAV, Av. Instituto Politécnico Nacional No. 2508, San Pedro Zacatenco 07360, México;3. UESTC, Qingshuihe Campus, Xiyuan Ave No.2006, West Hi-Tech Zone 611731, China;1. Department of Mechanical and Electrical Engineering, Institute of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon;2. School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam;3. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran;4. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes (LaMSEBP) and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaoundé I, Po. Box 812, Yaoundé, Cameroon;5. Applied Physics Research Group (APHY), Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium;1. Department of Aerospace Engineering, Faculty of New Sciences and Technologies, University of Tehran, Tehran, 14395 -1561, Iran;2. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, 14399‒57131, Iran;3. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, China;4. Research Group in Electronic, Biomedical and Telecommunication Engineering, University of Castilla-La Mancha (UCLM), 16071, Cuenca, Spain;5. European University Institute, Department of Economics, Via delle Fontanelle, 18, I-50014, Florence, Italy;6. Rimini Centre for Economic Analysis (RCEA), LH3079, Wilfrid Laurier University, 75 University Ave W., ON, N2L3C5, Waterloo, Canada |
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| Abstract: | In this paper, a new hyperchaotic system is presented by adding a nonlinear controller to the three-dimensional autonomous chaotic system. The generated hyperchaotic system undergoes hyperchaos, chaos, and some different periodic orbits with control parameters changed. The complex dynamic behaviors are verified by means of Lyapunov exponent spectrum, bifurcation analysis, phase portraits and circuit realization. The Multisim results of the hyperchaotic circuit were well agreed with the simulation results. |
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