Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators
This paper presents the numerical creation of 2-parametric bifurcation diagrams of nonlinear oscillators with a simple iterative algorithm, which can be easily parallelized. The parallel algorithm was tested with two simple well-known nonlinear oscillators, the Van der Pol oscillator and the Duffing...
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| Format: | Article |
| Language: | English |
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Széchenyi István University
2018-07-01
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| Series: | Acta Technica Jaurinensis |
| Subjects: | |
| Online Access: | https://acta.sze.hu/index.php/acta/article/view/453 |
| _version_ | 1818133752678711296 |
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| author | Flóra Hajdu |
| author_facet | Flóra Hajdu |
| author_sort | Flóra Hajdu |
| collection | DOAJ |
| description | This paper presents the numerical creation of 2-parametric bifurcation diagrams of nonlinear oscillators with a simple iterative algorithm, which can be easily parallelized. The parallel algorithm was tested with two simple well-known nonlinear oscillators, the Van der Pol oscillator and the Duffing-Holmes oscillator. It was examined how the resolution (number of iterations) affects the speedup and the efficiency. The test results show that a relative good speed up with a good efficiency could be achieved even using a simple desktop. |
| first_indexed | 2024-12-11T08:57:43Z |
| format | Article |
| id | doaj.art-b72928f7dacd4626bd0a849e8a5a6ed2 |
| institution | Directory Open Access Journal |
| issn | 2064-5228 |
| language | English |
| last_indexed | 2024-12-11T08:57:43Z |
| publishDate | 2018-07-01 |
| publisher | Széchenyi István University |
| record_format | Article |
| series | Acta Technica Jaurinensis |
| spelling | doaj.art-b72928f7dacd4626bd0a849e8a5a6ed22022-12-22T01:13:51ZengSzéchenyi István UniversityActa Technica Jaurinensis2064-52282018-07-01112618310.14513/actatechjaur.v11.n2.453453Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear OscillatorsFlóra Hajdu0Széchenyi István University, Department of Mechatronics and Machine Design, Egyetem tér 1, 9026 Győr, HungaryThis paper presents the numerical creation of 2-parametric bifurcation diagrams of nonlinear oscillators with a simple iterative algorithm, which can be easily parallelized. The parallel algorithm was tested with two simple well-known nonlinear oscillators, the Van der Pol oscillator and the Duffing-Holmes oscillator. It was examined how the resolution (number of iterations) affects the speedup and the efficiency. The test results show that a relative good speed up with a good efficiency could be achieved even using a simple desktop.https://acta.sze.hu/index.php/acta/article/view/453parallel computingbifurcation diagramnumerical analysisnonlinear oscillatormaple |
| spellingShingle | Flóra Hajdu Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators Acta Technica Jaurinensis parallel computing bifurcation diagram numerical analysis nonlinear oscillator maple |
| title | Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators |
| title_full | Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators |
| title_fullStr | Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators |
| title_full_unstemmed | Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators |
| title_short | Parallel Numerical Creation of 2-parametric Bifurcation Diagram of Nonlinear Oscillators |
| title_sort | parallel numerical creation of 2 parametric bifurcation diagram of nonlinear oscillators |
| topic | parallel computing bifurcation diagram numerical analysis nonlinear oscillator maple |
| url | https://acta.sze.hu/index.php/acta/article/view/453 |
| work_keys_str_mv | AT florahajdu parallelnumericalcreationof2parametricbifurcationdiagramofnonlinearoscillators |