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.
In this paper, the circuit of a non-autonomous generator that realizes chaotic behavior is presented. This oscillator-circuit contains four resistors, one capacitor, one inductor, two diodes, one operational amplifier, one bipolar voltage source and one sinusoidal source. All nominal of components are shown. The proposed circuit was modeled by utilizing NI’s MultiSim software environment. The system’s behavior was investigated through numerical simulations, by using wellknown tools of nonlinear theory, such as phase portrait, chaotic attractor and time distributions of two chaotic systemvariables. Spectral analysis are also presented.
For demonstrate nonlinear behavior we used new one-dimensional modified logistic system. Analysis, equation and system conditions are presented. For analysis of the iteration series with different parameter r and computer modelling was used one of the modern software environment LabView. Programming code and nominal components are also presented. For visualizing and practical realization of the new modified nonlinear logistic map we used Arduino Uno board and ten light-emitting diodes (LEDs) with ten resistors for each part of segment of the range [0;1]. The Arduino was connected to a computer through the USB port and programmed using a language similar to C++. Sketch was uploaded into Arduino using program software ArduinoIDE.
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