Bursting Oscillations and the Formation Mechanism in a Piecewise Linear Memristive System

MA Minglin; CHEN Liang; LI Zhijun; WANG Mengjiao; QIU Zhicheng

doi:10.11999/JEIT210337

Volume 44 Issue 7

Jul. 2022

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Article Navigation > Journal of Electronics & Information Technology > 2022 > 44(7): 2602-2610

MA Minglin, CHEN Liang, LI Zhijun, WANG Mengjiao, QIU Zhicheng. Bursting Oscillations and the Formation Mechanism in a Piecewise Linear Memristive System[J]. Journal of Electronics & Information Technology, 2022, 44(7): 2602-2610. doi: 10.11999/JEIT210337

Citation:

MA Minglin, CHEN Liang, LI Zhijun, WANG Mengjiao, QIU Zhicheng. Bursting Oscillations and the Formation Mechanism in a Piecewise Linear Memristive System[J]. Journal of Electronics & Information Technology, 2022, 44(7): 2602-2610. doi: 10.11999/JEIT210337

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Bursting Oscillations and the Formation Mechanism in a Piecewise Linear Memristive System

doi: 10.11999/JEIT210337

College of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China

Funds: The National Key Research and Development Project (2018AAA0103300), The National Natural Science Foundation of China (62071411)

Received Date: 2021-04-21
Rev Recd Date: 2021-07-17

Available Online: 2021-07-27

Publish Date: 2022-07-25

Abstract

Abstract

In order to explore the bursting oscillations and its mechanism of the piecewise linear memristor-based system, a 4D piecewise linear memristor-based system with two-timescale is created by introducing a piecewise linear memristive model and a periodically excitation based on a non-autonomous system. Due to the introduction of the piecewise linear memristive model, the system is divided into different subsystems by non-smooth boundaries. It is pointed that not only the stability of the nominal equilibrium orbits but also the non-smooth boundaries may influence the bursting, resulting in the abrupt jumping of the trajectory and non-smooth bifurcations, which reveal two different bursting patterns. Based on the generalized differential of Clarke, the bifurcation mechanism is studied. And the bursting mechanism is analyzed by time history and transformation phase diagram. Finally, the numerical simulation and Multisim circuit simulation are conducted to verify the validity. This paper is of great significance to study the dynamical behavior of the piecewise linear memristor and its application to practice.
- Piecewise linear memristor,
- Non-smooth bifurcation,
- Bursting oscillation,
- Non-smooth boundary

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References(28)

References

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