Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes
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...
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| Format: | Article |
| Language: | English |
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Republic of Armenia National Academy of Sciences
2022-10-01
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| Series: | Armenian Journal of Mathematics |
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| Online Access: | http://armjmath.sci.am/index.php/ajm/article/view/632 |
| _version_ | 1797947702863986688 |
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| author | Roya Makrooni |
| author_facet | Roya Makrooni |
| author_sort | Roya Makrooni |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-04-10T21:30:52Z |
| format | Article |
| id | doaj.art-b15e15e669d84cf1828a097d6161f6e6 |
| institution | Directory Open Access Journal |
| issn | 1829-1163 |
| language | English |
| last_indexed | 2024-04-10T21:30:52Z |
| publishDate | 2022-10-01 |
| publisher | Republic of Armenia National Academy of Sciences |
| record_format | Article |
| series | Armenian Journal of Mathematics |
| spelling | doaj.art-b15e15e669d84cf1828a097d6161f6e62023-01-19T13:35:41ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632022-10-01141310.52737/18291163-2022.14.13-1-12Bifurcation Analysis of a Piecewise Smooth Map with Two AsymptotesRoya Makrooni0University of Sistan and Baluchestan 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. http://armjmath.sci.am/index.php/ajm/article/view/632Discontinuous SystemDivergenceFlip BifurcationPeriodic Orbit |
| spellingShingle | Roya Makrooni Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes Armenian Journal of Mathematics Discontinuous System Divergence Flip Bifurcation Periodic Orbit |
| title | Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes |
| title_full | Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes |
| title_fullStr | Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes |
| title_full_unstemmed | Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes |
| title_short | Bifurcation Analysis of a Piecewise Smooth Map with Two Asymptotes |
| title_sort | bifurcation analysis of a piecewise smooth map with two asymptotes |
| topic | Discontinuous System Divergence Flip Bifurcation Periodic Orbit |
| url | http://armjmath.sci.am/index.php/ajm/article/view/632 |
| work_keys_str_mv | AT royamakrooni bifurcationanalysisofapiecewisesmoothmapwithtwoasymptotes |