Firing multistability,symmetry, bubbles of a Shinriki oscillator with mem-elements |
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| Institution: | 1. Laboratory of Automatics, Faculty of Sciences, University of Tlemcen, BP119, Algeria;2. Laboratory of Theoretical Physics, Faculty of Sciences, University of Tlemcen, BP119, Algeria;3. Laroseri, Department of Computer Science, University of Chouaib Doukkali, Faculty of Science EL Jadida, Morocco;4. Laboratory of Condensed Matter and Interdisciplinary Sciences (LaMCScl), Faculty of Sciences, Mohammed V University of Rabat, P. O. Box 1014, Morocco;1. Department of Mechanical and Industrial Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA;2. School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, PR China;1. School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China;2. School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China;1. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210023, China;2. School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing, 210044, China;1. Department of Computer Engineering, Faculty of Engineering, Hitit University, Corum, 19030, Turkey;2. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, India;3. Faculty of Political Sciences, Department of Business Administration, Management Information Systems, Social Sciences University of Ankara, Ankara, 06050, Turkey;4. Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Sakarya, 54050, Turkey |
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| Abstract: | In this paper, a novel memristive Shinriki oscillator is established by adding a flux-controlled memristor and a charge-controlled memcapacitor. The similar symmetry is observed with the Biolek memcapacitor model. Bubbles are also investigated with varying system parameters and initial conditions from the perspectives of cascade and location. Extreme multistability occurring with different initial conditions is clearly found in attraction basins. Different firing patterns with coexisting spiking, bursting and chaotic patterns are discussed in Shinriki oscillator. Spiking and chaotic firing with periodic coexisting large limit cycle and quiescent state are detected. In this oscillator, circle/circle buster is also observed, whose quiescent state is a small amplitude oscillation and spiking state has multiple peaks. The firing multistability of the adjusted Shinriki oscillator is implemented by a Field Programmable Gate Array (FPGA). The experimental results validate the accuracy of the numerical analysis, which shows the proposed oscillator is good for the relevant research and application. |
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