Modeling and dynamics analysis of a novel fractional-order meminductive multi-stable chaotic circuit and its FPGA implementation

Chaojun Wu, Linhai Xiong and Ningning Yang

Chaos, Solitons & Fractals, 2024, vol. 186, issue C

Abstract: Integrating a meminductor into a Chua's circuit and extending it to fractional order can produce chaotic circuits with complex dynamical behaviour. First, a fractional-order meminductor model is developed and it's meminductive characteristic curve is investigated. Subsequently, the dynamical behaviour of the fractional-order meminductive chaotic circuit is analysed by means of phase diagrams, bifurcation diagrams, and Lyapunov exponential diagrams. The results show that the circuit generates a large number of coexisting attractors, has multistability, state transition phenomenon, achieves amplitude control and offset boosting control. Finally, circuit simulations were performed and FPGA experiments were conducted using the NI-Labview platform. The experimental results are in good agreement with the numerical simulation results, confirming the accuracy and feasibility of the circuit.

Keywords: Meminductor; Chua's circuit; Multistability; Offset boosting; State transition (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007744

DOI: 10.1016/j.chaos.2024.115222

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