Armenian Journal of Mathematics, 14(13)
2022; 1–12
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Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes Authors Roya Makrooni

Roya Makrooni*

Received: 2024-12-05 · Published: 2022-10-02

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CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes Authors Roya Makrooni
Author
Roya Makrooni
Source journal
Armenian Journal of Mathematics, 14(13)
Published
2022-10-02
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2022.14.13-1-12

Abstract

In this paper, we consider a discontinuous piecewise smooth system involving four parameters and two asymptotes, recently introduced as a model in engineering sciences. We classify and investigate its bifurcation behaviour. A local bifurcation analysis of the system in the range of parameters which has not been studied so far is undertaken and then supported by numerical computations. This reveals the existence of a flip bifurcation depends on the power singularity. Moreover, we state that a set of positive measure of points with divergent dynamic behaviour exists.
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