Circuit Implementations,Bifurcations and Chaos of a Novel Fractional-Order Dynamical System  

作　　者：闵富红 邵书义 黄雯迪 王恩荣 

机构地区：[1]School of Electrical and Automation Engineering,Nanjing Normal University

出　　处：《Chinese Physics Letters》2015年第3期21-25,共5页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No 51475246;the Natural Science Foundation of Jiangsu Province under Grant No Bk20131402;the Ministry-of-Education Overseas Returnees Start-up Research Fund under Grant No[2012]1707

摘　　要：Linear transfer function approximations of the fractional integrators 1Is~ with m ^- 0.80-0.99 with steps of 0.01 are calculated systemically from the fractional order calculus and frequency-domain approximation method. To illustrate the effectiveness for fractional functions, the magnitude Bode diagrams of the actual and approximate transfer functions 1Ism with a slope of -20m dB//decade are depicted. By using the transfer function approxima- tions of the fractional integrators, a new fractional-order nonlinear system is investigated through the bifurcation diagram and Lyapunov exponent. The corresponding circuit of the fractional-order system is designed and the experimental results match perfectly with the numerical simulations.Linear transfer function approximations of the fractional integrators 1Is~ with m ^- 0.80-0.99 with steps of 0.01 are calculated systemically from the fractional order calculus and frequency-domain approximation method. To illustrate the effectiveness for fractional functions, the magnitude Bode diagrams of the actual and approximate transfer functions 1Ism with a slope of -20m dB//decade are depicted. By using the transfer function approxima- tions of the fractional integrators, a new fractional-order nonlinear system is investigated through the bifurcation diagram and Lyapunov exponent. The corresponding circuit of the fractional-order system is designed and the experimental results match perfectly with the numerical simulations.

关 键 词：In Circuit Implementations Bifurcations and Chaos of a Novel Fractional-Order Dynamical System 

分 类 号：TM132[电气工程—电工理论与新技术]