A New Memristive System with Chaotic and Periodic Bursting and Its FPGA Implementation
This paper analyzes the fingerprint characteristics of a memristor model and proves that this memristor model conforms to the definition of generalized memristor. Using this memristor model, a new class of memristive circuit is built. A new memristive system is obtained through the mathematical mode...
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| Veröffentlicht in: | Circuits, systems, and signal processing systems, and signal processing, 2023, Vol.42 (1), p.623-637 |
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| container_title | Circuits, systems, and signal processing |
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| creator | Wan, Qiuzhen Li, Fei Liu, Jiong Chen, Simiao Yan, Zidie |
| description | This paper analyzes the fingerprint characteristics of a memristor model and proves that this memristor model conforms to the definition of generalized memristor. Using this memristor model, a new class of memristive circuit is built. A new memristive system is obtained through the mathematical modeling of the memristive circuit. The equilibrium points and stability of the new memristive system are analyzed by mathematical theory, and the complex dynamic behavior of the system under different parameters is analyzed by using simulation tools such as phase diagram, bifurcation diagram, Lyapunov exponent spectrum and time-domain waveform. Through simulation, it is found that this system can have quasi-periodic, periodic, chaotic and hyperchaotic attractors and wing-variable phenomenon under the change of parameters. The sensitivity of hyperchaos and chaos to the change of initial value is studied, and the phenomena of chaotic bursting and periodic bursting are observed. For physical verification, the hardware implementation of digital circuit based on FPGA is given. The experimental results are consistent with the numerical simulation ones, which prove its physical realizability. |
| doi_str_mv | 10.1007/s00034-022-02136-x |
| format | Article |
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Using this memristor model, a new class of memristive circuit is built. A new memristive system is obtained through the mathematical modeling of the memristive circuit. The equilibrium points and stability of the new memristive system are analyzed by mathematical theory, and the complex dynamic behavior of the system under different parameters is analyzed by using simulation tools such as phase diagram, bifurcation diagram, Lyapunov exponent spectrum and time-domain waveform. Through simulation, it is found that this system can have quasi-periodic, periodic, chaotic and hyperchaotic attractors and wing-variable phenomenon under the change of parameters. The sensitivity of hyperchaos and chaos to the change of initial value is studied, and the phenomena of chaotic bursting and periodic bursting are observed. For physical verification, the hardware implementation of digital circuit based on FPGA is given. The experimental results are consistent with the numerical simulation ones, which prove its physical realizability.</description><identifier>ISSN: 0278-081X</identifier><identifier>EISSN: 1531-5878</identifier><identifier>DOI: 10.1007/s00034-022-02136-x</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Bursting ; Chaos theory ; Circuits and Systems ; Digital electronics ; Electrical Engineering ; Electronics and Microelectronics ; Engineering ; Field programmable gate arrays ; Instrumentation ; Liapunov exponents ; Mathematical models ; Memory devices ; Memristors ; Parameter sensitivity ; Phase diagrams ; Short Paper ; Signal,Image and Speech Processing ; Simulation ; Stability analysis ; Waveforms</subject><ispartof>Circuits, systems, and signal processing, 2023, Vol.42 (1), p.623-637</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. 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Using this memristor model, a new class of memristive circuit is built. A new memristive system is obtained through the mathematical modeling of the memristive circuit. The equilibrium points and stability of the new memristive system are analyzed by mathematical theory, and the complex dynamic behavior of the system under different parameters is analyzed by using simulation tools such as phase diagram, bifurcation diagram, Lyapunov exponent spectrum and time-domain waveform. Through simulation, it is found that this system can have quasi-periodic, periodic, chaotic and hyperchaotic attractors and wing-variable phenomenon under the change of parameters. The sensitivity of hyperchaos and chaos to the change of initial value is studied, and the phenomena of chaotic bursting and periodic bursting are observed. For physical verification, the hardware implementation of digital circuit based on FPGA is given. 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Using this memristor model, a new class of memristive circuit is built. A new memristive system is obtained through the mathematical modeling of the memristive circuit. The equilibrium points and stability of the new memristive system are analyzed by mathematical theory, and the complex dynamic behavior of the system under different parameters is analyzed by using simulation tools such as phase diagram, bifurcation diagram, Lyapunov exponent spectrum and time-domain waveform. Through simulation, it is found that this system can have quasi-periodic, periodic, chaotic and hyperchaotic attractors and wing-variable phenomenon under the change of parameters. The sensitivity of hyperchaos and chaos to the change of initial value is studied, and the phenomena of chaotic bursting and periodic bursting are observed. For physical verification, the hardware implementation of digital circuit based on FPGA is given. 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| subjects | Bursting Chaos theory Circuits and Systems Digital electronics Electrical Engineering Electronics and Microelectronics Engineering Field programmable gate arrays Instrumentation Liapunov exponents Mathematical models Memory devices Memristors Parameter sensitivity Phase diagrams Short Paper Signal,Image and Speech Processing Simulation Stability analysis Waveforms |
| title | A New Memristive System with Chaotic and Periodic Bursting and Its FPGA Implementation |
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