Non-linear equation of Chua circuit

Chaos is a long-term aperiodic behavior in a deterministic system with a strong sensitivity to initial conditions. One of the best systems that can generate chaotic signals is the oscillators (chaotic generators); the most widespread generator is the Chua circuit, which presents the simplicity of operation of components available on the market. In this paper, we have created non-linear equations based on the analog signal samples of this circuit. Our paper consists of two basic steps: the first is a theoretical study of the chaotic circuit, what it consists of and the system of equations that describe it and the second is an implementation of the chaotic circuit in OrCAD to verify the resulting signals in detail with different chaotic criteria, then a slice of these signals will be processed by a Magic Plot that gives us non-linear equations. In the end, the resulting signals with the non-linear equations of Magic Plot are better and the same signals result from the simulation of the Chua circuit in OrCAD. © 2023 Elsevier GmbH