Dynamics of the two-SBT-memristor-based chaotic circuit

doi:10.1088/1674-1056/abbbe3

中国物理B ›› 2020, Vol. 29 ›› Issue (11): 110505-.doi: 10.1088/1674-1056/abbbe3

Mei Guo(郭梅)¹, Meng Zhang(张萌)¹, Ming-Long Dou(窦明龙)¹, Gang Dou(窦刚)¹^,†(), Yu-Xia Li(李玉霞)¹^,^‡()

收稿日期:2020-08-15 修回日期:2020-09-04 接受日期:2020-09-28 出版日期:2020-11-05 发布日期:2020-11-03

Dynamics of the two-SBT-memristor-based chaotic circuit

Mei Guo(郭梅), Meng Zhang(张萌), Ming-Long Dou(窦明龙), Gang Dou(窦刚)^†, and Yu-Xia Li(李玉霞)^‡

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

Received:2020-08-15 Revised:2020-09-04 Accepted:2020-09-28 Online:2020-11-05 Published:2020-11-03
Contact: ^†Corresponding author. E-mail: dougang521@sdust.edu.cn ^‡Corresponding author. E-mail: yuxiali2004@sdust.edu.cn
Supported by:
the National Natural Science Foundation of China (Grant Nos. 61703247 and 61703246), the Qingdao Science and Technology Plan Project, China (Grant No. 19-6-2-2-cg), the Elite Project of Shandong University of Science and Technology, and the Taishan Scholar Project of Shandong Province of China.

摘要/Abstract

Abstract:

A two-SBT-memristor-based chaotic circuit was proposed. The stability of the equilibrium point was studied by theoretical analysis. The close dependence of the circuit dynamic characteristics on its initial conditions and circuit parameters was investigated by utilizing Lyapunov exponents spectra, bifurcation diagrams, phase diagrams, and Poincaré maps. The analysis showed that the circuit system had complex dynamic behaviors, such as stable points, period, chaos, limit cycles, and so on. In particular, the chaotic circuit produced the multistability phenomenon, such as coexisting attractors and coexisting periods.

Key words: memristor, chaotic circuit, multistability, coexisting attractors

Mei Guo(郭梅), Meng Zhang(张萌), Ming-Long Dou(窦明龙), Gang Dou(窦刚), Yu-Xia Li(李玉霞). [J]. 中国物理B, 2020, 29(11): 110505-.

Mei Guo(郭梅), Meng Zhang(张萌), Ming-Long Dou(窦明龙), Gang Dou(窦刚), and Yu-Xia Li(李玉霞). Dynamics of the two-SBT-memristor-based chaotic circuit[J]. Chin. Phys. B, 2020, 29(11): 110505-.

图/表 28

参考文献 37

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Initial conditions φ₂(0)	Interval	Dynamics
	[-3.00, -1.77]	Stable point
	[-1.76, -0.64]	Transient chaos
	[−0.63, -0.40]	Period
	[−0.39, -0.33]	Single-scroll attractor
	[−0.32, 0.32]	Double-scroll attractor
	[0.33, 0.39]	Single-scroll attractor
	[0.40, 0.73]	Period
	[0.74, 1.76]	Sink
	[1.77, 3.00]	Stable point

Initial conditions	Interval	Dynamics
x(0)	[−6.00, −3.93]	Stable point
	[−3.92, 3.92]	Chaotic attractor
	[3.93, 6.00]	Stable point
y(0)	[−15.00, 15.00]	Chaotic attractor
z(0)	[−5.00, −2.55]	Stable point
	[−2.54, 2.54]	Chaotic attractor
	[2.55, 5.00]	Stable point

Initial conditions	Interval	Dynamics
α	[10.00, 17.02]	Stable point
	[17.03, 17.37]	Period
	[17.38, 17.41]	Stable point
	[17.42, 18.90]	Period
	[18.91, 19.25]	Single-scroll attractor
	[19.26, 30.00]	Double-scroll attractor
β	[0.00, 0.55]	Limit cycle
	[0.56, 4.08]	Double-scroll attractor
	[4.09, 4.21]	Single-scroll attractor
	[4.22, 5.13]	Period
	[5.14, 10.00]	Stable point
r	[0.000, 0.178]	Chaotic attractor
	[0.179, 0.300]	Stable point

Dynamics of the two-SBT-memristor-based chaotic circuit

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