scholarly journals The fractional-order unified chaotic system: A general cascade synchronization method and application

2020 ◽  
Vol 5 (5) ◽  
pp. 4345-4356
Author(s):  
Hongli An ◽  
◽  
Dali Feng ◽  
Li Sun ◽  
Haixing Zhu ◽  
...  
2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Ping Zhou ◽  
Rongji Bai ◽  
Hao Cai

Based on an integer-order Brushless DC motors (IO-BLDCM) system, we give a fractional-order Brushless DC motors (FO-BLDCM) system in this paper. There exists a chaotic attractor for fractional-order0.95<q≤1in the FO-BLDCM system. Furthermore, using the Lyapunov direct method for fractional-order system, a control scheme is proposed to stabilize the FO-BLDCM chaotic system in the sense of Lyapunov. Numerical simulation shows that the control scheme in this paper is valid for the FO-BLDCM chaotic system.


2012 ◽  
Vol 562-564 ◽  
pp. 2088-2091
Author(s):  
Xian Yong Wu ◽  
Yi Long Cheng ◽  
Kai Liu ◽  
Xin Liang Yu ◽  
Xian Qian Wu

The chaotic dynamics of the unified chaotic system and the Rossler system with different fractional-order are studied in this paper. The research shows that the chaotic attractors can be found in the two systems while the orders of the systems are less than three. Asymptotic synchronization of response and drive systems is realized by active control through designing proper controller when system parameters are known. Theoretical analysis and simulation results demonstrate the effective of this method.


2017 ◽  
Vol 27 (01) ◽  
pp. 1850006 ◽  
Author(s):  
Mohammad Rafiq Dar ◽  
Nasir Ali Kant ◽  
Farooq Ahmad Khanday

Realization of fractional-order double-scroll chaotic system using Operational Transconductance Amplifiers (OTAs) as active elements are presented in this paper. The fractional-order double-scroll chaotic system has been studied before as well using passive RC-ladder and tree-based structures but in this paper the requisite fractional-order integration has been accomplished through an integer-order multiple-feedback topology. As compared to double or multiple scroll chaotic systems existing in the open literature, the proposed realization offers the advantages of (a) low-voltage implementation, (b) integrablity as the design is resistor- and inductor-less and only grounded components have been employed in the design, and, (c) electronic tunability of the fractional order, time-constants and gain factors. In order to demonstrate the usefulness of the chaotic system, a simple secure message communication system has been designed and verified for its operation. The theoretical predictions of the proposed implementations have been verified by using 0.35[Formula: see text][Formula: see text]m complementary metal oxide semiconductor (CMOS) process file provided by Austrian Micro System (AMS).


2010 ◽  
Vol 59 (3) ◽  
pp. 1549
Author(s):  
Zhang Ruo-Xun ◽  
Yang Shi-Ping ◽  
Liu Yong-Li

2007 ◽  
Vol 56 (8) ◽  
pp. 4366
Author(s):  
Shan Liang ◽  
Liang Yan ◽  
Li Jun ◽  
Wang Zhi-Quan

2008 ◽  
Vol 17 (5) ◽  
pp. 1664-1669 ◽  
Author(s):  
Chen Xiang-Rong ◽  
Liu Chong-Xin ◽  
Wang Fa-Qiang

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