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A memristive non-smooth dynamical system with coexistence of bimodule periodic oscillation

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A memristive non-smooth dynamical system with coexistence of bimodule periodic oscillation. / Yang, Yang; Ma, Minglin; Li, Zhijun; Wang, Mengjiao; Sun, Yichuang; Chen, Liang .

In: International Journal of Electronics and Communications, Vol. 153, 154279, 01.08.2022.

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@article{c393f58294f34a23a39ed1c0c114ea96,
title = "A memristive non-smooth dynamical system with coexistence of bimodule periodic oscillation",
abstract = "In order to explore the bursting oscillations and the formation mechanism of memristive non-smooth systems, a third-order memristor model and an external periodic excitation are introduced into a non-smooth dynamical system, and a novel 4D memristive non-smooth system with two-timescale is established. The system is divided into two different subsystems by a non-smooth interface, which can be used to simulate the scenario where a memristor encounters a non-smooth circuit in practical application circuits. Three different bursting patterns and bifurcation mechanisms are analyzed with the time series, the corresponding phase portraits, the equilibrium bifurcation diagrams, and the transformed phase portraits. It is pointed that not only the stability of the equilibrium trajectory but also the non-smooth interface may influence the bursting phenomenon, resulting in the sudden jumping of the trajectory and non-smooth bifurcation at the non-smooth interface. In particular, the coexistence of bimodule periodic oscillations at the non-smooth interface can be observed in this system. Finally, the correctness of the theoretical analysis is well verified by the numerical simulation and Multisim circuit simulation. This paper is of great significance for the future analysis and engineering application of the memristor in non-smooth circuits.",
author = "Yang Yang and Minglin Ma and Zhijun Li and Mengjiao Wang and Yichuang Sun and Liang Chen",
note = " {\textcopyright} 2022 Elsevier GmbH. All rights reserved. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.aeue.2022.154279",
year = "2022",
month = aug,
day = "1",
doi = "10.1016/j.aeue.2022.154279",
language = "English",
volume = "153",
journal = "International Journal of Electronics and Communications",
issn = "1434-8411",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A memristive non-smooth dynamical system with coexistence of bimodule periodic oscillation

AU - Yang, Yang

AU - Ma, Minglin

AU - Li, Zhijun

AU - Wang, Mengjiao

AU - Sun, Yichuang

AU - Chen, Liang

N1 - © 2022 Elsevier GmbH. All rights reserved. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1016/j.aeue.2022.154279

PY - 2022/8/1

Y1 - 2022/8/1

N2 - In order to explore the bursting oscillations and the formation mechanism of memristive non-smooth systems, a third-order memristor model and an external periodic excitation are introduced into a non-smooth dynamical system, and a novel 4D memristive non-smooth system with two-timescale is established. The system is divided into two different subsystems by a non-smooth interface, which can be used to simulate the scenario where a memristor encounters a non-smooth circuit in practical application circuits. Three different bursting patterns and bifurcation mechanisms are analyzed with the time series, the corresponding phase portraits, the equilibrium bifurcation diagrams, and the transformed phase portraits. It is pointed that not only the stability of the equilibrium trajectory but also the non-smooth interface may influence the bursting phenomenon, resulting in the sudden jumping of the trajectory and non-smooth bifurcation at the non-smooth interface. In particular, the coexistence of bimodule periodic oscillations at the non-smooth interface can be observed in this system. Finally, the correctness of the theoretical analysis is well verified by the numerical simulation and Multisim circuit simulation. This paper is of great significance for the future analysis and engineering application of the memristor in non-smooth circuits.

AB - In order to explore the bursting oscillations and the formation mechanism of memristive non-smooth systems, a third-order memristor model and an external periodic excitation are introduced into a non-smooth dynamical system, and a novel 4D memristive non-smooth system with two-timescale is established. The system is divided into two different subsystems by a non-smooth interface, which can be used to simulate the scenario where a memristor encounters a non-smooth circuit in practical application circuits. Three different bursting patterns and bifurcation mechanisms are analyzed with the time series, the corresponding phase portraits, the equilibrium bifurcation diagrams, and the transformed phase portraits. It is pointed that not only the stability of the equilibrium trajectory but also the non-smooth interface may influence the bursting phenomenon, resulting in the sudden jumping of the trajectory and non-smooth bifurcation at the non-smooth interface. In particular, the coexistence of bimodule periodic oscillations at the non-smooth interface can be observed in this system. Finally, the correctness of the theoretical analysis is well verified by the numerical simulation and Multisim circuit simulation. This paper is of great significance for the future analysis and engineering application of the memristor in non-smooth circuits.

U2 - 10.1016/j.aeue.2022.154279

DO - 10.1016/j.aeue.2022.154279

M3 - Article

VL - 153

JO - International Journal of Electronics and Communications

JF - International Journal of Electronics and Communications

SN - 1434-8411

M1 - 154279

ER -