Journal
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
Volume 153, Issue -, Pages -Publisher
ELSEVIER GMBH
DOI: 10.1016/j.aeue.2022.154279
Keywords
Bursting oscillation; Non-smooth bifurcation; Non-smooth interface; Memristor; Bimodule periodic oscillation
Funding
- Hunan Provincial Natural Science Foundation of China [2022JJ30572]
- National Key Research and Development Program of China [2018AAA0103300]
- National Natural Science Foundations of China [62171401]
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This paper investigates the bursting oscillations and formation mechanism of memristive non-smooth systems. It introduces a third-order memristor model and an external periodic excitation into a non-smooth dynamical system to establish a novel 4D memristive non-smooth system with two-timescale. Through the analysis of time series, phase portraits, and bifurcation diagrams, it is found that both the stability of the equilibrium trajectory and the non-smooth interface can influence the bursting phenomenon. The existence of coexisting bimodal periodic oscillations at the non-smooth interface is also observed.
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 equi-librium 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 mem-ristor in non-smooth circuits.
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