Numerical analysis and circuit simulation of fractional-order chaotic system
分数阶混沌系统数值解析与电路仿真研究*

To analyze a fractional-order chaotic system, based on an improved version of Adams-Bashforth-Moulton algorithm, investigated the method of numerical analysis for a new three-dimensional fractional-order chaotic system and achieved chaotic attractors generated from this system with different fractional-order by utilizing MATLAB software platform. Then based on frequency-domain approximation algorithm, designed a fractional-order unit circuit with an RC serial-parallel circuit and realized the proposed fractional-order chaotic system by using an analogue circuit. These results from circuit simulation and numerical analysis are identical, which indicate that the proposed two methods are feasible and verify that there is also complex nonlinear physical phenomenon in the fractional-order chaotic system.