IMPLEMENTATION OF THE FRACTIONAL-ORDER CHEN–LEE SYSTEM BY ELECTRONIC CIRCUIT-Reference-Cited by-同舟云学术

IMPLEMENTATION OF THE FRACTIONAL-ORDER CHEN–LEE SYSTEM BY ELECTRONIC CIRCUIT

Published:2013-02 Issue:02 Volume:23 Page:1350030
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

WANG SHIU-PING¹,LAO SENG-KIN²,CHEN HSIEN-KENG¹,CHEN JUHN-HORNG³,CHEN SHIH-YAO³

Affiliation:

1. Department of Mechanical Engineering, Hsiuping University of Science and Technology, No.11 Gongye Rd., Dali Dist., Taichung City 412-80, Taiwan, R.O.C.

2. Department of Electromechanical Engineering, University of Macau, Avenida Padre Tomás Pereira, Taipa, Macau, P. R. China

3. Department of Mechanical Engineering, Chung Hua University, 707, Sec. 2, WuFu Rd., Hsinchu, Taiwan 30012, R.O.C.

Abstract

In recent years, there has been expanding research on the applications of fractional calculus to the areas of signal processing, modeling and controls. Analog circuit implementation of chaotic systems is used in studying nonlinear dynamical phenomena, which is also applied in realizing the controller development. In this paper, chain fractance and tree fractance circuits are constructed to realize the fractional-order Chen–Lee system. The results are in good agreement with those obtained from numerical simulation. This study shows that not only is this system related to gyro motion but can also be applied to electronic circuits for secure communication.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413500302

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