University of Hertfordshire

By the same authors

Bursting oscillations and bifurcation mechanism in a fully integrated piecewise-smooth chaotic system

Research output: Contribution to journalArticlepeer-review

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Original languageEnglish
Number of pages18
JournalEuropean Physical Journal Special Topics
Early online date29 May 2021
DOIs
Publication statusE-pub ahead of print - 29 May 2021

Abstract

This paper aims to show and investigate bursting oscillator and bifurcation phenomena in a piecewise-smooth memristor-based Shimizu-Morioka (SM) system. To make the circuit low power consumption and portable in practice, it is fully integrated. In the paper, a periodic excitation and different piecewise functions are introduced into the system which leads to two types of piecewise-smooth systems with a single slow variable. As the slow variable changes periodically in different scopes, we discover intricate bursting oscillation phenomena, namely, asymmetric Fold/Fold bursting, damped oscillation-sliding,
asymmetric Fold/Fold-delayed supHopf/supHopf bursting, compressed oscillation phenomenon within the limit cycle, random bursting, double loop oscillations and so on. In the course of the study, it is found that the properties of the nominal equilibrium orbits, limit cycles, and the non-smooth boundary contribute to the bursting. Finally, a fully integrated circuit is designed and the accuracy of the study is verified by some circuit simulation results.

Notes

© 2021 Springer Nature Switzerland AG. Part of Springer Nature. This is the accepted manuscript version of an article which has been published in final form at https://doi.org/10.1140/epjs/s11734-021-00128-7

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