Study of Simulation Approaches for Fractional-order Chaotic Systems
To solve problems of theory analysis for fractional-order chaotic systems at present, three simulation approaches, including dynamical simulation, circuit simulation and numerical simulation, were investigated based on the analysis methods of fractional-order chaotic systems in frequency-domain and time-domain respectively. The fractional-order integral operator dynamical simulation model and circuit simulation model were designed according to the fractional-order integral operator representation in frequency domain. The process of variable evolvement with time can be observed on time by dynamical simulation and circuit simulation. The numerical simulation was achieved by employing the Adams-Bashforth-Moulton predictor-corrector scheme for fractional-order differential operator. The dynamic performances of fractional-order chaotic system can be analyzed by using simulation output data. The simulation results of fractional-order diffusionless Lorenz system show that all the three simulation approaches are effective.
NETL
NSTL
万方数据
维普
