Circuit realization of a fractional-order chaotic jerk system

摘要

In this paper, the analysis, design and circuit synthesis of a fractional-order form of a chaotic jerk system is presented. The proposed system is one of the simplest member of the jerk system's family, because it has the least number of terms, one of which is the unique nonlinear term of the system. For the first time, the hyperbolic sine term is used as a nonlinear term in this kind of jerk systems, which can be easily realized with two antiparallel diodes. Simulation results by using phase portraits and Lyapunov exponents confirm the expected system's chaotic behavior. Moreover, the electronic circuit for the evaluation of the theoretical model of the proposed fractional-order system is presented.