2021
DOI: 10.1155/2021/6636813
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A Memristive Hyperjerk Chaotic System: Amplitude Control, FPGA Design, and Prediction with Artificial Neural Network

Abstract: An amplitude controllable hyperjerk system is constructed for chaos producing by introducing a nonlinear factor of memristor. In this case, the amplitude control is realized from a single coefficient in the memristor. The hyperjerk system has a line of equilibria and also shows extreme multistability indicated by the initial value-associated bifurcation diagram. FPGA-based circuit realization is also given for physical verification. Finally, the proposed memristive hyperjerk system is successfully predicted wi… Show more

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Cited by 14 publications
(10 citation statements)
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“…e system ( 1) is stabilized by using controllers (17), adaptation rules (18), and compensators (19).…”
Section: Theoremmentioning
confidence: 99%
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“…e system ( 1) is stabilized by using controllers (17), adaptation rules (18), and compensators (19).…”
Section: Theoremmentioning
confidence: 99%
“…Stabilization. In this section, the dynamics of ( 1) is stabilized by controller (17), tuning rules (18), and compensator (19). e simulation conditions are described in Table 1.…”
Section: Simulationmentioning
confidence: 99%
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“…So far, the system designed in this way has high program readability, high logic synthesis efficiency, and good program portability. Without phase truncation, the output phase sequence of the phase accumulator Y½n is as follows [5,6]:…”
Section: Electromagnetic Occlusion Algorithmmentioning
confidence: 99%
“…Therefore, the design of memristor chaotic circuits using FPGA is significant for practical applications. Nowadays, a variety of memristor chaotic systems have been implemented by FPGA [34,[40][41][42][43]-for instance, FPGA realization of a novel 5D hyperchaotic fourwing memristive system [44], FPGA implementation of a memristor-based multi-scroll hyperchaotic system [45], etc.…”
Section: Introductionmentioning
confidence: 99%