Tuning coupling rate to control oscillation quenching in fractional-order coupled oscillators

Shutong Liu, Zhongkui Sun, Nannan Zhao

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Introducing the fractional-order derivative into the coupled dynamical systems intrigues gradually the researchers from diverse fields. In this work, taking Stuart-Landau and Van der Pol oscillators as examples, we compare the difference between fractional-order and integer-order derivatives and further analyze their influences on oscillation quenching behaviors. Through tuning the coupling rate, as an asymmetric parameter to achieve the change from scalar coupling to non-scalar coupling, we observe that the onset of fractional-order not only enlarges the range of oscillation death, but attributes to the transition from fake amplitude death to oscillation death for coupled Stuart-Landau oscillators. We go on to show that for a coupled Van der Pol system only in the presence of a fractional-order derivative, oscillation quenching behaviors will occur. The results pave a way for revealing the control mechanism of oscillation quenching, which is critical for further understanding the function of fractional-order in a coupled nonlinear model.

Original languageEnglish
Article number103108
JournalChaos
Volume30
Issue number10
DOIs
StatePublished - 1 Oct 2020

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