Chaotic Lorenz system: analysis of the main information properties, circuit realization and LED visualization using Arduino

Volodymyr Rusyn; Aceng Sambas; Maria S. Papadopoulou

doi:10.1117/12.2615516

20 December 2021 Chaotic Lorenz system: analysis of the main information properties, circuit realization and LED visualization using Arduino

Volodymyr Rusyn, Aceng Sambas, Maria S. Papadopoulou

Author Affiliations +

Proceedings Volume 12126, Fifteenth International Conference on Correlation Optics; 121260R (2021) https://doi.org/10.1117/12.2615516
Event: Fifteenth International Conference on Correlation Optics, 2021, Chernivtsi, Ukraine

Abstract

In this paper, we study a three-dimensional Lorenz system that demonstrates chaotic behavior. We present the state equations and mathematical analysis of the system. We use a system-design platform, like LabView, to study and analyze main information properties, such as chaotic attractors, time series, bifurcation diagram, and dynamic behavior of the overall system. We implemented an Arduino Uno based design to display chaotic attractors of the Lorenz system. The Arduino is connected to a computer through the USB port, while graphs were uploaded using program software ArduinoIDE. Finally, the connection scheme and programming code are also presented.

Citation Download Citation

Volodymyr Rusyn, Aceng Sambas, and Maria S. Papadopoulou "Chaotic Lorenz system: analysis of the main information properties, circuit realization and LED visualization using Arduino", Proc. SPIE 12126, Fifteenth International Conference on Correlation Optics, 121260R (20 December 2021); https://doi.org/10.1117/12.2615516

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