| Issue |
MATEC Web Conf.
Volume 252, 2019
III International Conference of Computational Methods in Engineering Science (CMES’18)
|
|
|---|---|---|
| Article Number | 02006 | |
| Number of page(s) | 5 | |
| Section | Application of Computer Programs in Technology | |
| DOI | https://doi.org/10.1051/matecconf/201925202006 | |
| Published online | 14 January 2019 | |
The influence of the Lorenz system fractionality on its recurrensivity
Lublin University of Technology, Faculty of Mechanical Engineering, Nadbystrzycka 36, 20-618 Lublin, Poland
* Corresponding author: m.gregorczyk@pollub.pl
In this work, we investigate the recurrensivity of the Lorenz system with fractional order of derivatives occurring in its all three differential equations. Several solutions of the system for varying fractional orders of individual derivatives were calculated, which was followed by an analysis of changes in the selected recurrence quantifiers occurring due to modifications of the fractional orders {q1, q2, q3}. The results of the recurrence analysis were referred to the time series plots, phase diagrams and FFT spectra. The obtained results were finally used to examine the influence of fractional derivatives on the chaos - periodicity transition of the system dynamics.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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