Fractional-Order and Memristive Nonlinear Systems: Advances and Applications

Due to the significance of nonlinear systems and circuits in many applications such as physics, control, biophysics, and bioengineering, enormous research activities have been highlighted to model the practical and experimental insights of such phenomena.Chaotic systems are nonlinear dynamical systems which are sensitive to initial conditions, topologically mixing, and with dense periodic orbits [1-3].The chaos phenomenon was first observed in weather models by Lorenz in 1963.This was followed by a discovery of a large number of chaotic systems in many different fields like computer sciences, mechanics, communication, economics and finance, biology, chemistry, medicine, and geology.Recently, the developments of nonlinear circuits and memristors [4] have had a big impact on the way scientists and engineers apply analytical and computational techniques.In the last four years, many systems have been investigated using the innovative features of mem-elements in the analysis and designs of nonlinear circuits and systems, such as chaotic systems.Due to the difficulties of nonlinear circuit design, contributions towards new ideas, techniques, modeling, analysis, design, or fabrication will have a direct impact on future applications and the industry.The chaotic dynamics of fractional-order systems began to attract a great deal of attention in recent years due to the ease of their electronic implementations.Due to the very