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Chin. Phys. B, 2026, Vol. 35(3): 030504    DOI: 10.1088/1674-1056/ae44f9
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Spiking-bursting alternating chaos mediated by a locally active memristor

Yuxia Li(李玉霞)1, Xintong Yue(岳新同)1, Hui Chang(常辉)1,†, Baoxing Han(韩宝兴)1, and Yan Zhang(张燕)2
1 College of Electrical and Automation Engineering, Shandong University of Science and Technology, Qingdao 266590, China;
2 College of Safety and Environmental Engineering, Shandong University of Science and Technology, Qingdao 266590, China
Abstract  Local active memristors demonstrate complex nonlinear dynamic characteristics under specific voltage stimuli, making them well-suited for emulating biological synapse behavior. This paper presents a novel local active memristor with coexisting hysteresis loops, whose non-volatility and local activity are experimentally verified. Based on this memristor, a spiking-bursting chaotic system is constructed, which can reproduce neuronal firing patterns such as periodic spiking, bursting and spiking-bursting alternating discharge. In addition, it reveals the generation mechanism of the spiking-bursting alternating chaos driven by the locally active memristor. Finally, the chaotic system is physically implemented on a field-programmable gate array (FPGA). The experimental results show excellent agreement with numerical simulations, confirming the system's feasibility and highlighting its potential for engineering applications.
Keywords:  locally active memristor      spiking      chaotic bursting      FPGA  
Received:  05 December 2025      Revised:  10 February 2026      Accepted manuscript online:  12 February 2026
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  95.10.Fh (Chaotic dynamics)  
  84.30.-r (Electronic circuits)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62473238), the Shandong Provincial Natural Science Foundation (Grant No. ZR2021MF116), and the Qingdao Natural Science Foundation (Grant No. 23- 2-1-233-zyydjch).
Corresponding Authors:  Hui Chang     E-mail:  changhui2000_mic@sdust.edu.cn

Cite this article: 

Yuxia Li(李玉霞), Xintong Yue(岳新同), Hui Chang(常辉), Baoxing Han(韩宝兴), and Yan Zhang(张燕) Spiking-bursting alternating chaos mediated by a locally active memristor 2026 Chin. Phys. B 35 030504

[1] Ott E, Spano M and Katz R A 1996 Phys. Rev. Lett. 64 1196
[2] Lorenz E N 1963 J. Atmos. Sci. 20 448
[3] May R M 1976 Nature 261 459
[4] Rössler O E 1976 Phys. Lett. A 57 397
[5] Huang W, Li Y, Huang Y 2021 Acta Phys. Sin. 70 010501 (in Chinese)
[6] Lin H, Wang C, Cui L, Sun Y, Xu C and Yu F 2022 IEEE Trans. Ind. Inform. 18 8839
[7] Lin H, Wang C, Cui L, Sun Y, Zhang X and Yao W 2022 Nonlinear Dyn. 110 841
[8] Yang D, Liu Z and Zhou J 2014 Commun. Nonlinear Sci. Numer. Simul. 19 1229
[9] Wang Z, Min F and Wang E 2016 AIP. Adv. 6 095316
[10] Lin H, Wang C and Tan Y 2020 Nonlinear Dyn. 99 2369
[11] Song Y, Yuan F and Li Y 2019 Entropy 21 678
[12] Yan S, Zhang Y, Ren Y, Sun X, Cui Y and Li L 2023 Nonlinear Dyn. 111 17547
[13] Wang G, Yuan F, Chen G and Zhang Y 2018 Chaos 28 013125
[14] Rajagopal K, Khalaf A J M, Wei Z, Pham V, Alsaedi A and Hayat T 2019 Int. J. Bifurcat. Chaos 29 1950067
[15] Yuan F, Wang G and Wang X 2016 Chaos 26 073107
[16] Ahmadi A, Parthasarathy S, Pal N, Rajagopal K, Jafari S and Tlelo- Cuautle E 2023 Int. J. Bifurcat. Chaos 33 2330016
[17] Li Y, Wang M, Chang H, Wang H and Chen G 2024 Nonlinear Dyn. 112 3851
[18] Bi Q, Zhang R and Zhang Z 2014 Appl. Math. Comput. 243 482
[19] Lin Y, Liu W, Bao H and Shen Q 2020 Chaos Solitons Fractals 131 109524
[20] Chang H, Li Y, Chen G and Yuan F 2020 Int. J. Bifurcat. Chaos 30 2030019
[21] Fallah H 2016 Int. J. Bifurcat. Chaos 26 1630022
[22] Forrest M D 2013 Plos One 8 e68765
[23] Bao H, Zhu D, Liu W, Xu Q, Chen M and Bao B 2020 Int. J. Bifurcat. Chaos 30 2050045
[24] Zhao H, Ma X and Bi Q 2024 Int. J. Non-Linear Mech. 159 104592
[25] Chua L 1998 Int. J. Bifurcat. Chaos 15 11
[26] Gibson G A, Musunuru S, Zhang J, Vandenberghe K, Lee J, Hsieh C C, Jackson W, Jeon Y, Henze D, Li Z and Williams R S 2016 Appl. Phys. Lett. 108 023505
[27] Weiher M, Herzig M, Tetzlaff R, Ascoli A, Mikolajick T and Slesazeck S 2019 IEEE Trans. Circuits Syst. I 66 2627
[28] Ascoli A, Slesazeck S, Mähne H, Tetzlaff R and Mikolajick T 2017 IEEE Trans. Circuits Syst. 62 1165
[29] Lai Q, Yang L 2024 Chaos 34 013145
[30] Ying J, Liang Y, Wang G, Iu H, Zhang J and Jin P 2021 Chaos 31 063114
[31] Jin P, Han N, Zhang X, Wang G and Chen L 2023 Commun. Nonlinear Sci. Numer. Simul. 117 106961
[32] Yan X, Li Z and Li C 2024 Chin. Phys. B 33 028705
[33] Wang X, Banerjee S, Cao Y and Mou J 2024 Chin. Phys. B 33 100501
[34] Zhou X, Jiang D, Nkapkop J D D, Ahmad M, Fossi J T, Tsafack N and Wu J 2024 Chin. Phys. B 33 040506
[35] Wang W, Kiss I and Hudson J 2001 Phys. Rev. Lett. 86 4954
[36] Wan Q, Li F, Liu J, Chen S, Yan Z 2023 Circuits Syst. Signal Process 42 623
[37] Xu Q, Wang Y,Wu H, Chen M and Chen B 2024 Chaos Solitons Fractals 179 114458
[38] Boriskov P 2022 IEEE Trans. Circuits Syst. II Express Briefs. 69 2982
[39] Yan S, Song Z and Shi W 2022 J. Circuits Syst. Comput. 31 2250120
[40] Cang S, Wang L, Zhang Y, Wang Z and Chen Z. 2022 Chaos Solitons Fractals 158 112016
[41] Jia H, Chen Z, ShiWand Qi G 2022 Int. J. Bifurcat. Chaos 32 2250022
[42] Gupta M and Chauhan R 2022 J. Circuits Syst. Comput. 31 2250043
[43] Rziga F, Mbarek K, Ghedira S and Besbes K. 2017 Appl. Phys. A Mater. Sci. Process 123 288
[44] Potapov A and Ali M K 2000 Phys. Lett. A 277 310
[45] Zhou L, Wang C and Zhou L 2017 Int. J. Bifurcat. Chaos 27 1750027
[46] Zhou L, Wang C and Zhou L 2018 Int. J. Circuit Theory Appl. 46 84
[47] Zhou L, Wang C and Zhou L 2016 Nonlinear Dyn. 85 2653
[48] Jin J and Li C 2019 Complexity 19 4106398
[49] Zhang X and Wang C 2019 IEEE Access 7 16336
[50] Jin J 2018 Microelectron. J. 75 27
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[1] DING E-JIANG(丁鄂江), Lü YAN-NAN(吕燕南). THE INHOMOGENEOUS PERIODIC STATES IN A COUPLED MAP LATTICE[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(1): 3 -10 .
[2] LIANG ZHONG-CHENG (梁忠诚). INTERFACE STRESS, TENSION AND FREE ENERGY DENSITY OF CONDENSED MATTER[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(2): 104 -112 .
[3] TIAN REN-HE (田人和), MANFRED FINK. THE BEAM TEMPERATURE AND ENERGY BROADENING OF A CHARGED-PARTICLE BEAM IN AN AXIALLY SYMMETRIC MAGNETIC FIELD[J]. Acta Physica Sinica (Overseas Edition), 1992, 1(2): 86 -93 .
[4] ZHOU HAI-JUN (周海军), XU XIANG-YUAN (许祥源), HUANG WEN (黄雯), CHEN DIE-YAN (陈瓞延). NEW AUTOIONIZING STATES NEAR THE FIRST IONIZATION LIMIT OF RARE EARTH ELEMENT Dy[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(12): 917 -924 .
[5] LIU GUO-LIANG (刘国良), LIN-ZHENG (林征), LIN QIN (林勤), ZHANG YU-FEN (张玉芬), JIANG LIAN-HUA (蒋连化), LI GUO-HONG (李国红), YAN SHOU-SHENG (阎守胜). THERMOELECTRIC POWER IN (Gd, Sm)1.85Ce0.15CuO4 SYSTEM[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(12): 930 -936 .
[6] LIN JIAN-LONG (林建龙), SHI BING-REN (石秉仁), LI FANG-ZHU (李芳著). BALLOONING INSTABILITY IN HIGH $\beta$ TOKAMAK[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(2): 81 -88 .
[7] DUAN YI-WU (段宜武), BAO CHENG-GUANG (鲍诚光). ONE-BODY DENSITIES AND FEATURES OF THE STRUCTURE OF THE 2S+1Pe DOUBLY EXCITED HELIUM STATES[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(3): 170 -179 .
[8] XU KUN-MING (徐昆明), LU DAO-FANG (陆道芳), YAO XI-XIAN (姚希贤). SIZE EFFECT OF INNER RADIUS ON CIRCULARLY SYMMETRIC SOLITON STATES IN ANNULAR JOSEPHSON JUNCTIONS[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(4): 300 -310 .
[9] JIANG XUE-YIN (蒋雪茵), ZHANG ZHI-LIN (张志林), XU SHAO-HONG (许少鸿). QUANTUM EFFICIENCY AND MULTIPHONON NONRADIATIVE TRANSITION OF Er3+ IONS IN FLUORIDE GLASS[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(5): 333 -344 .
[10] YI LIN (易林), YAO KAI-LUN (姚凯伦). RENORMALIZED HALL CONDUCTIVITY FOR MAGNETIC ALLOYS[J]. Acta Physica Sinica (Overseas Edition), 1993, 2(6): 449 -457 .