| Issue |
MATEC Web Conf.
Volume 211, 2018
The 14th International Conference on Vibration Engineering and Technology of Machinery (VETOMAC XIV)
|
|
|---|---|---|
| Article Number | 03008 | |
| Number of page(s) | 6 | |
| Section | ND: Nonlinear Dynamics, Chaos and Control of Elastic Structures; TP6: Condition monitoring, tip-timing, experimental techniques | |
| DOI | https://doi.org/10.1051/matecconf/201821103008 | |
| Published online | 10 October 2018 | |
Recurrence analysis of fractional-order Lorenz system
Lublin University of Technology, Faculty of Mechanical Engineering,
Nadbystrzycka 36,
20-618
Lublin,
Poland
* e-mail: a.rysak@pollub.pl
The fractional derivative is increasingly used in modeling of nonlinear systems. Fractional-order systems often give better fit to the experimental results, especially for the systems in which memory effects or hysteresis play a significant role. The paper presents numerical results obtained for Lorenz dynamical system, described by equations with the fractional derivative components. The impact of the fractional derivative terms on the system dynamics and stability is analyzed by using phase diagrams and recurrence plot analysis.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (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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