
Fuqiang WU, Ying XU, Huimin QI, Jun MA. Dynamics of a two-disk dynamo loaded with a dual neuron circuit and its application[J]. Journal of Zhejiang University Science A, 2026, 27(7): 762-778.
@article{title="Dynamics of a two-disk dynamo loaded with a dual neuron circuit and its application",
author="Fuqiang WU, Ying XU, Huimin QI, Jun MA",
journal="Journal of Zhejiang University Science A",
volume="27",
number="7",
pages="762-778",
year="2026",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A2600099"
}
%0 Journal Article
%T Dynamics of a two-disk dynamo loaded with a dual neuron circuit and its application
%A Fuqiang WU
%A Ying XU
%A Huimin QI
%A Jun MA
%J Journal of Zhejiang University SCIENCE A
%V 27
%N 7
%P 762-778
%@ 1673-565X
%D 2026
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A2600099
TY - JOUR
T1 - Dynamics of a two-disk dynamo loaded with a dual neuron circuit and its application
A1 - Fuqiang WU
A1 - Ying XU
A1 - Huimin QI
A1 - Jun MA
J0 - Journal of Zhejiang University Science A
VL - 27
IS - 7
SP - 762
EP - 778
%@ 1673-565X
Y1 - 2026
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A2600099
Abstract: Constructing a neuromorphic electromechanical system based on a flexible memristor is of great significance for the development of biomimetic electrical-mechanical transverters. A bioinspired electromechanical system can perform real-time energy-efficient processing of multimodal signals, including electrical activities and mechanical motions. Here, we propose a bioinspired electromechanical system composed of a two-disc dynamo driven by a dual integrate-and-fire neuron. A memristive system exists in the bioinspired electromechanical system, as observed in the current–voltage relationship. The neuromorphic electromechanical model can exhibit a multiscroll hidden attractor by adjusting a controllable parameter. Complex chaotic behaviors have been demonstrated by numerical simulations, including two-parameter bifurcation, Lyapunov exponents, and phase diagrams. Finally, the applicability of a chaotic encryption scheme is successfully implemented on a neuromorphic electromechanical system.
[1]AnXL, QiaoS, 2021. The hidden, period-adding, mixed-mode oscillations and control in a HR neuron under electromagnetic induction. Chaos, Solitons & Fractals, 143:110587.
[2]AnXL, XiongL, ShiQQ, et al., 2023. Dynamics explore of an improved HR neuron model under electromagnetic radiation and its applications. Nonlinear Dynamics, 111(10):9509-9535.
[3]AnXL, LiuSY, XiongL, et al., 2024. Mixed gray-color images encryption algorithm based on a memristor chaotic system and 2D compression sensing. Expert Systems with Applications, 243:122899.
[4]BaoBC, HuJT, BaoH, et al., 2024. Memristor-coupled dual-neuron mapping model: initials-induced coexisting firing patterns and synchronization activities. Cognitive Neurodynamics, 18(2):539-555.
[5]BonagiriA, BiswasD, ChakravarthyS, 2024. Coupled memristor oscillators for neuromorphic locomotion control: modeling and analysis. IEEE Transactions on Neural Networks and Learning Systems, 35(6):8638-8652.
[6]BullardE, 1955. The stability of a homopolar dynamo. Mathematical Proceedings of the Cambridge Philosophical Society, 51(4):744-760.
[7]CookAE, RobertsPH, 1970. The Rikitake two-disc dynamo system. Mathematical Proceedings of the Cambridge Philosophical Society, 68(2):547-569.
[8]CoxA, 1968. Lengths of geomagnetic polarity intervals. Journal of Geophysical Research, 73(10):3247-3260.
[9]DonatoS, MeduriD, LepretiF, 2009. Magnetic field reversals of the earth: a two-disk Rikitake dynamo model. International Journal of Modern Physics B, 23(28-29):5492-5503.
[10]DrapacaCS, 2015. An electromechanical model of neuronal dynamics using Hamilton’s principle. Frontiers in Cellular Neuroscience, 9:271.
[11]DuttaS, PariharA, KhannaA, et al., 2019. Programmable coupled oscillators for synchronized locomotion. Nature Communications, 10(1):3299.
[12]ErshovSV, MalinetskiiGG, RuzmaikinAA, 1989. A generalized two-disk dynamo model. Geophysical & Astrophysical Fluid Dynamics, 47(1-4):251-277.
[13]FengXS, KangT, WuFQ, 2025. Bursting dynamics in a bi-membrane neuron-like model with resistive switching and memristive coupling activated by energy flow. Nonlinear Dynamics, 113(11):13727-13745.
[14]GuoYT, MaJ, 2025. An electromechanical arm model controlled by artificial muscles. Science China Technological Sciences, 68(4):1420403.
[15]GuoYT, SongXL, MaJ, 2025a. Control electromechanical arms by using a neural circuit. Nonlinear Dynamics, 113(2):1605-1622.
[16]GuoYT, WangCN, MaJ, 2025b. Model approach of artificial muscle and leg movements. Physics Letters A, 529:130069.
[17]ItoK, 1980. Chaos in the Rikitake two-disc dynamo system. Earth and Planetary Science Letters, 51(2):451-456.
[18]KamsmaTM, BoonWQ, ter ReleT, et al., 2023. Iontronic neuromorphic signaling with conical microfluidic memristors. Physical Review Letters, 130(26):268401.
[19]Kitio KwuimyCA, WoafoP, 2007. Dynamics of a self-sustained electromechanical system with flexible arm and cubic coupling. Communications in Nonlinear Science and Numerical Simulation, 12(8):1504-1517.
[20]Kitio KwuimyCA, WoafoP, 2008. Dynamics, chaos and synchronization of self-sustained electromechanical systems with clamped-free flexible arm. Nonlinear Dynamics, 53(3):201-213.
[21]KouamiNM, NanaB, WoafoP, 2020. Analysis of array nanoelectromechanical beams driven by an electrical line of Josephson junctions. Physica C: Superconductivity and its Applications, 574:1353658.
[22]LaiQ, LiuY, 2025. A family of image encryption schemes based on hyperchaotic system and cellular automata neighborhood. Science China Technological Sciences, 68(3):1320401.
[23]LeiZ, GuoQ, WangCN, et al., 2025. Continuous energy exchange between magnetic fields supporting memristive neuron firing. Journal of Zhejiang University-SCIENCE A, 26(8):755-770.
[24]LiYN, MaJ, XieY, 2024. A biophysical neuron model with double membranes. Nonlinear Dynamics, 112(9):7459-7475.
[25]MaJ, 2025. Biological neurons to neural circuit, review from physical perspective. Nonlinear Dynamics, 113(19):25365-25387.
[26]MaJ, GuoYT, 2024. Model approach of electromechanical arm interacted with neural circuit, a minireview. Chaos, Solitons & Fractals, 183:114925.
[27]MbeungaNK, NanaB, WoafoP, 2021. Dynamics of array mechanical arms coupled each to a Fitzhugh-Nagumo neuron. Chaos, Solitons & Fractals, 153:111484.
[28]Mboussi NkomidioA, NoubissieS, WoafoP, 2014. Dynamics of arrays of legs powered by a discrete electrical model of nerve. Physics Letters A, 378(11-12):857-862.
[29]RikitakeT, 1958. Oscillations of a system of disk dynamos. Mathematical Proceedings of the Cambridge Philosophical Society, 54(1):89-105.
[30]ShaoY, WuFQ, WangQY, 2025a. Bursting dynamics and synchronization of neuromorphic systems with VO2 memristors and Josephson junctions. Nonlinear Dynamics, 113(24):33907-33926.
[31]ShaoY, WuFQ, WangQY, 2025b. Excitability and synchronization of vanadium dioxide memristor-inspired neurons. Mathematics and Computers in Simulation, 233:99-116.
[32]WuFQ, FengXS, 2025. Spatiotemporal dynamics in discrete memristive Josephson junction array with electric and magnetic couplings under a controllable energy injection. Nonlinear Dynamics, 113(20):28207-28231.
[33]WuFQ, MengH, MaJ, 2024. Reproduced neuron-like excitability and bursting synchronization of memristive Josephson junctions loaded inductor. Neural Networks, 169:607-621.
[34]XuY, JiaY, MaJ, et al., 2018. Collective responses in electrical activities of neurons under field coupling. Scientific Reports, 8(1):1349.
[35]XuY, RenGD, MaJ, 2023. Patterns stability in cardiac tissue under spatial electromagnetic radiation. Chaos, Solitons & Fractals, 171:113522.
[36]YangFF, AnXL, XiongL, 2022. A new discrete chaotic map application in image encryption algorithm. Physica Scripta, 97(3):035202.
[37]YangFF, XuY, MaJ, 2023. A memristive neuron and its adaptability to external electric field. Chaos, 33(2):023110.
[38]YangFF, MaJ, RenGD, 2024a. A Josephson junction-coupled neuron with double capacitive membranes. Journal of Theoretical Biology, 578:111686.
[39]YangFF, MaJ, WuFQ, 2024b. Review on memristor application in neural circuit and network. Chaos, Solitons & Fractals, 187:115361.
CLC number:
On-line Access: 2026-07-20
Received: 2026-03-01
Revision Accepted: 2026-04-22
Crosschecked: 2026-07-20
Cited: 0
Clicked: 484
Citations: Bibtex RefMan EndNote GB/T7714
https://orcid.org/0000-0002-3850-7400
Open peer comments: Debate/Discuss/Question/Opinion
<1>