Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation

doi:10.1088/1674-1056/abfa03

中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120502-120502.doi: 10.1088/1674-1056/abfa03

Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation

Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红)^†, Zhi Rui(芮智), and Lei Zhang(张雷)

School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China

收稿日期:2021-03-23 修回日期:2021-04-06 接受日期:2021-04-21 出版日期:2021-11-15 发布日期:2021-11-23
通讯作者: Fu-Hong Min E-mail:minfuhong@njnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61971228 and 61871230), the Natural Science Foundations of Jiangsu Higher Education Institutions, China (Grant No. 19KJB520042), and the Postgraduate Research & Practice Innovation Program of Jiangsu Province, China (Grant No. SJCX21_0564).

Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation

Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红)^†, Zhi Rui(芮智), and Lei Zhang(张雷)

School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China

Received:2021-03-23 Revised:2021-04-06 Accepted:2021-04-21 Online:2021-11-15 Published:2021-11-23
Contact: Fu-Hong Min E-mail:minfuhong@njnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61971228 and 61871230), the Natural Science Foundations of Jiangsu Higher Education Institutions, China (Grant No. 19KJB520042), and the Postgraduate Research & Practice Innovation Program of Jiangsu Province, China (Grant No. SJCX21_0564).

摘要/Abstract

摘要： An improved heterogeneous dual memristive circuit (DMC) is proposed based on Chua's circuit, which shows good symmetry and multistablility. For the difficulty in controlling the initial conditions, which restricts the engineering applications, the 3rd-order model (3OM) in flux-charge domain is derived from the 5th-order model (5OM) in volt-ampere domain by using the flux-charge analysis method (FCAM). The consistence of symmetry and multistability before and after dimensionality decreasing is meticulously investigated via bifurcation diagram, Lyapunov exponents, and especially attraction basins. The comparative analysis validates the effectiveness of reduction model and improves the controllability of the circuit. To avoid the noise in the analog circuit, a field-programmable gate array (FPGA) is utilized to realize the reduction model, which is rarely reported and valuable for relevant research and application.

关键词: memristive circuit, chaos, multistability, FPGA implementation

Abstract: An improved heterogeneous dual memristive circuit (DMC) is proposed based on Chua's circuit, which shows good symmetry and multistablility. For the difficulty in controlling the initial conditions, which restricts the engineering applications, the 3rd-order model (3OM) in flux-charge domain is derived from the 5th-order model (5OM) in volt-ampere domain by using the flux-charge analysis method (FCAM). The consistence of symmetry and multistability before and after dimensionality decreasing is meticulously investigated via bifurcation diagram, Lyapunov exponents, and especially attraction basins. The comparative analysis validates the effectiveness of reduction model and improves the controllability of the circuit. To avoid the noise in the analog circuit, a field-programmable gate array (FPGA) is utilized to realize the reduction model, which is rarely reported and valuable for relevant research and application.

Key words: memristive circuit, chaos, multistability, FPGA implementation

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Pq (Numerical simulations of chaotic systems) 05.45.Gg (Control of chaos, applications of chaos)

Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红), Zhi Rui(芮智), and Lei Zhang(张雷). Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation[J]. 中国物理B, 2021, 30(12): 120502-120502.

Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红), Zhi Rui(芮智), and Lei Zhang(张雷). Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation[J]. Chin. Phys. B, 2021, 30(12): 120502-120502.

参考文献

[1] Chua L O 1971 IEEE Trans. Circ. Theory 18 507
[2] Xin Y M, Li Y X, Huang X and Cheng Z S 2019 IEEE Trans. Cybern. 49 712
[3] Li C, Min F H and Li C B 2018 Nonlinear Dyn. 94 2785
[4] Yuan M M, Wang W P, Wang Z, Luo X and Kurths J 2021 IEEE Trans. Neural Netw. Lear. Syst. 32 151
[5] Bodo B, Armand Eyebe Fouda J S, Mvogo A and Tagne S 2018 Chaos, Solitons and Fractals 115 190
[6] Chang H, Li Y X, Chen G R and Yuan F 2020 Int. J. Bifurc. Chaos 30 2030019
[7] Peng Y X, Sun K H and He S B 2020 Chaos, Solitons and Fractals 137 109873
[8] Guo M, Zhang M, Dou M L, Dou G and Li Y X 2020 Chin. Phys. B 29 110505
[9] Chang H, Li Y and Chen G R 2019 Int. J. Bifurc. Chaos 29 1950086
[10] Guo M, Yang W Y, Xue Y B, Gao Z H, Yuan F and Dou G and Li Y X 2019 Chaos 29 043114
[11] Sun J W, Han G Y and Zeng Z G 2020 IEEE Trans. Cybern. 50 2935
[12] Li H, Sheng Y J, Yang S P, Peng M F and Han Y J 2021 Acta Phys. Sin. 70 040502 (in Chinese)
[13] Dong Y J, Wang G Y, Iu H H C, Chen G R and Chen L 2020 Chaos 30 103123
[14] Leonov G A, Kuznetsov N V and Modaev T N 2015 Commun. Nonlinear Sci. Numer. Simul. 28 166
[15] Chen J J, Yan D W, Duan S K and Wang L D 2020 Chin. Phys. B 29 110504
[16] Kengne J, Nguomkam Negou A and Tchiotsop D 2017 Nonlinear Dyn. 88 2589
[17] Li H M, Yang Y F, Li W, He S B and Li C L 2020 Eur. Phys. J. Plus 135 579
[18] Wang G Y, Yuan F, Chen G R and Zhang Y 2018 Chaos 28 013125
[19] Wang M J, Deng Y, Liao X H, Li Z J, Ma M L and Zeng Y C 2019 Int. J. Nonlinear Mech. 111 149
[20] Yang Y, Ren K C, Qian H and Yao X Y 2019 Eur. Phys. J. Spec. Top. 228 2011
[21] Lu Y M and Min F H 2019 Acta Phys. Sin. 68 130502 (in Chinese)
[22] Chen M, Feng Y, Bao H, Bao B C, Yu Y J, Wu H G and Xu Q 2018 Chaos Solitons Fract. 115 313
[23] Chen M, Sun M X, Bao H, Hu Y H and Bao B C 2020 IEEE Trans. Ind. Electron. 67 2197
[24] Corinto F and Forti M 2016 IEEE Trans. Circ. Syst. I:Reg. Paper 63 1997
[25] Zhang Y M, Guo M, Dou G, Li Y X and Chen G R 2018 Chaos 28 083121
[26] Peng G Y and Min F H 2017 Nonlinear Dyn. 90 1607
[27] Ruan J Y, Sun K H and Mou J 2016 Acta Phys. Sin. 65 190502 (in Chinese)
[28] Dong E Z, Li R H and Du S Z 2021 Chin. Phys. B 30 020505

Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation

Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Abderrahmane Abbes, Adel Ouannas, and Nabil Shawagfeh. An incommensurate fractional discrete macroeconomic system: Bifurcation, chaos, and complexity[J]. 中国物理B, 2023, 32(3): 30203-030203.
[2]	Xiaodong Jiao(焦晓东), Mingfeng Yuan(袁明峰), Jin Tao(陶金), Hao Sun(孙昊), Qinglin Sun(孙青林), and Zengqiang Chen(陈增强). Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability[J]. 中国物理B, 2023, 32(1): 10507-010507.
[3]	Chunlei Fan(范春雷) and Qun Ding(丁群). A novel algorithm to analyze the dynamics of digital chaotic maps in finite-precision domain[J]. 中国物理B, 2023, 32(1): 10501-010501.
[4]	Xiaopeng Yan(闫晓鹏), Xingyuan Wang(王兴元), and Yongjin Xian(咸永锦). Synchronously scrambled diffuse image encryption method based on a new cosine chaotic map[J]. 中国物理B, 2022, 31(8): 80504-080504.
[5]	Dong-Zhou Zhong(钟东洲), Zhe Xu(徐喆), Ya-Lan Hu(胡亚兰), Ke-Ke Zhao(赵可可), Jin-Bo Zhang(张金波),Peng Hou(侯鹏), Wan-An Deng(邓万安), and Jiang-Tao Xi(习江涛). Multi-target ranging using an optical reservoir computing approach in the laterally coupled semiconductor lasers with self-feedback[J]. 中国物理B, 2022, 31(7): 74205-074205.
[6]	Wenjie Yang(杨文杰). Bifurcation and dynamics in double-delayed Chua circuits with periodic perturbation[J]. 中国物理B, 2022, 31(2): 20201-020201.
[7]	Ai-Xue Qi(齐爱学), Bin-Da Zhu(朱斌达), and Guang-Yi Wang(王光义). Complex dynamic behaviors in hyperbolic-type memristor-based cellular neural network[J]. 中国物理B, 2022, 31(2): 20502-020502.
[8]	Arnold Ngapasare, Georgios Theocharis, Olivier Richoux, Vassos Achilleos, and Charalampos Skokos. Energy spreading, equipartition, and chaos in lattices with non-central forces[J]. 中国物理B, 2022, 31(2): 20506-020506.
[9]	Hsinchen Yu(于心澄), Dong Bai(柏栋), Peishan He(何佩珊), Xiaoping Zhang(张小平), Zhongzhou Ren(任中洲), and Qiang Zheng(郑强). Resonance and antiresonance characteristics in linearly delayed Maryland model[J]. 中国物理B, 2022, 31(12): 120502-120502.
[10]	Yining Su(苏怡宁), Xingyuan Wang(王兴元), and Shujuan Lin(林淑娟). An image encryption algorithm based on spatiotemporal chaos and middle order traversal of a binary tree[J]. 中国物理B, 2022, 31(11): 110503-110503.
[11]	Yuan Ge(葛源), Jie Li(李杰), Wenwu Jiang(蒋文武), Lidan Wang(王丽丹), and Shukai Duan(段书凯). A spintronic memristive circuit on the optimized RBF-MLP neural network[J]. 中国物理B, 2022, 31(11): 110702-110702.
[12]	Yue Li(李月), Zengqiang Chen(陈增强), Zenghui Wang(王增会), and Shijian Cang(仓诗建). Nonlinear dynamics analysis of cluster-shaped conservative flows generated from a generalized thermostatted system[J]. 中国物理B, 2022, 31(1): 10501-010501.
[13]	You-Ming Lei(雷佑铭) and Yan-Yan Han(韩彦彦). Control of chaos in Frenkel-Kontorova model using reinforcement learning[J]. 中国物理B, 2021, 30(5): 50503-050503.
[14]	Hai-Ying Liu(刘海英), Hong-Li Yang(杨红丽), and Lian-Gui Yang(杨联贵). Dynamics analysis in a tumor-immune system with chemotherapy[J]. 中国物理B, 2021, 30(5): 58201-058201.
[15]	Fang Yuan(袁方), Cheng-Jun Bai(柏承君), and Yu-Xia Li(李玉霞). Cascade discrete memristive maps for enhancing chaos[J]. 中国物理B, 2021, 30(12): 120514-120514.