A Note on the Reproducibility of Chaos Simulation
An evergreen scientific feature is the ability for scientific works to be reproduced. Since chaotic systems are so hard to understand analytically, numerical simulations assume a key role in their investigation. Such simulations have been considered as reproducible in many works. However, few studie...
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MDPI AG
2020-08-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/9/953 |
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| author | Thalita E. Nazaré Erivelton G. Nepomuceno Samir A. M. Martins Denis N. Butusov |
| author_facet | Thalita E. Nazaré Erivelton G. Nepomuceno Samir A. M. Martins Denis N. Butusov |
| author_sort | Thalita E. Nazaré |
| collection | DOAJ |
| description | An evergreen scientific feature is the ability for scientific works to be reproduced. Since chaotic systems are so hard to understand analytically, numerical simulations assume a key role in their investigation. Such simulations have been considered as reproducible in many works. However, few studies have focused on the effects of the finite precision of computers on the simulation reproducibility of chaotic systems; moreover, code sharing and details on how to reproduce simulation results are not present in many investigations. In this work, a case study of reproducibility is presented in the simulation of a chaotic jerk circuit, using the software LTspice. We also employ the OSF platform to share the project associated with this paper. Tests performed with LTspice XVII on four different computers show the difficulties of simulation reproducibility by this software. We compare these results with experimental data using a normalised root mean square error in order to identify the computer with the highest prediction horizon. We also calculate the entropy of the signals to check differences among computer simulations and the practical experiment. The methodology developed is efficient in identifying the computer with better performance, which allows applying it to other cases in the literature. This investigation is fully described and available on the OSF platform. |
| first_indexed | 2024-03-10T16:44:26Z |
| format | Article |
| id | doaj.art-fb592591b1b540cd90e023d91cff14f4 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T16:44:26Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-fb592591b1b540cd90e023d91cff14f42023-11-20T11:48:17ZengMDPI AGEntropy1099-43002020-08-0122995310.3390/e22090953A Note on the Reproducibility of Chaos SimulationThalita E. Nazaré0Erivelton G. Nepomuceno1Samir A. M. Martins2Denis N. Butusov3Control and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei, São João del-Rei, MG 36307-352, BrazilControl and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei, São João del-Rei, MG 36307-352, BrazilControl and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei, São João del-Rei, MG 36307-352, BrazilYouth Research Institute, Saint-Petersburg Electrotechnical University “LETI”, 197376 Saint Petersburg, RussiaAn evergreen scientific feature is the ability for scientific works to be reproduced. Since chaotic systems are so hard to understand analytically, numerical simulations assume a key role in their investigation. Such simulations have been considered as reproducible in many works. However, few studies have focused on the effects of the finite precision of computers on the simulation reproducibility of chaotic systems; moreover, code sharing and details on how to reproduce simulation results are not present in many investigations. In this work, a case study of reproducibility is presented in the simulation of a chaotic jerk circuit, using the software LTspice. We also employ the OSF platform to share the project associated with this paper. Tests performed with LTspice XVII on four different computers show the difficulties of simulation reproducibility by this software. We compare these results with experimental data using a normalised root mean square error in order to identify the computer with the highest prediction horizon. We also calculate the entropy of the signals to check differences among computer simulations and the practical experiment. The methodology developed is efficient in identifying the computer with better performance, which allows applying it to other cases in the literature. This investigation is fully described and available on the OSF platform.https://www.mdpi.com/1099-4300/22/9/953reproducibilitycomputational chaoscomputer arithmeticOSF platform |
| spellingShingle | Thalita E. Nazaré Erivelton G. Nepomuceno Samir A. M. Martins Denis N. Butusov A Note on the Reproducibility of Chaos Simulation Entropy reproducibility computational chaos computer arithmetic OSF platform |
| title | A Note on the Reproducibility of Chaos Simulation |
| title_full | A Note on the Reproducibility of Chaos Simulation |
| title_fullStr | A Note on the Reproducibility of Chaos Simulation |
| title_full_unstemmed | A Note on the Reproducibility of Chaos Simulation |
| title_short | A Note on the Reproducibility of Chaos Simulation |
| title_sort | note on the reproducibility of chaos simulation |
| topic | reproducibility computational chaos computer arithmetic OSF platform |
| url | https://www.mdpi.com/1099-4300/22/9/953 |
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