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

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  • Wu, Chaojun
  • Xiong, Linhai
  • Yang, Ningning

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.

Suggested Citation

  • Wu, Chaojun & Xiong, Linhai & Yang, Ningning, 2024. "Modeling and dynamics analysis of a novel fractional-order meminductive multi-stable chaotic circuit and its FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924007744
    DOI: 10.1016/j.chaos.2024.115222
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    References listed on IDEAS

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    1. Ke Ding, 2018. "On Designing Feedback Controllers for Master-Slave Synchronization of Memristor-Based Chua’s Circuits," Complexity, Hindawi, vol. 2018, pages 1-8, October.
    2. Chen, Mo & Wang, Ankai & Wang, Chao & Wu, Huagan & Bao, Bocheng, 2022. "DC-offset-induced hidden and asymmetric dynamics in Memristive Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Gomes, Iacyel & Korneta, Wojciech & Stavrinides, Stavros G. & Picos, Rodrigo & Chua, Leon O., 2023. "Experimental observation of chaotic hysteresis in Chua's circuit driven by slow voltage forcing," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Liu, Tianming & Yan, Huizhen & Banerjee, Santo & Mou, Jun, 2021. "A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    5. Chen, Mo & Xue, Wanqi & Luo, Xuefeng & Zhang, Yunzhen & Wu, Huagan, 2023. "Effects of coupling memristors on synchronization of two identical memristive Chua's systems," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Xu, Quan & Lin, Yi & Bao, Bocheng & Chen, Mo, 2016. "Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 186-200.
    7. Junjian Huang & Chuandong Li & Tingwen Huang & Hui Wang & Xin Wang, 2014. "Synchronization and Lag Synchronization of Hyperchaotic Memristor-Based Chua’s Circuits," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, September.
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