A switching piecewise-linear control approach for generating of multi-scroll chaotic attractors

This work presents a method to generate a multi-scroll chaotic attractor by switched fractional system. Based on two piecewise-linear nonlinear functions, sub-models are constructed with the system order less than one. The switched system can demonstrate n-scroll chaotic attractors if its parameters and switching rule are suitably chosen. By analyzing the lyapunov exponent and the stability of the system, It´s illustrated that chaotic attractors can be obtained with system orders as low as 0.9. Finally, Numerical examples are provided to verify the effectiveness of the proposed scheme.