Analysis and Circuit Implementation for a New Fractional-Order Chaotic System

被引:0
作者
Guo, Zhiqiang [1 ]
Jia, Hongyan [1 ]
Wang, Shanfeng [1 ]
机构
[1] Tianjin Univ Sci & Technol, Coll Elect Informat & Automat, Tianjin, Peoples R China
来源
ICAROB 2018: PROCEEDINGS OF THE 2018 INTERNATIONAL CONFERENCE ON ARTIFICIAL LIFE AND ROBOTICS | 2018年
基金
中国国家自然科学基金;
关键词
fractional-order chaotic system; Lyapunov exponents; bifurcation; circuit implementation; SYNCHRONIZATION;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper firstly recommends a new fractional-order chaotic system, only including six terms and three multipliers, which is different from the Lorenz and other existing fractional-order systems. Then the phase trajectory diagrams, Lyapunov exponents diagrams and bifurcation diagrams will be showed to investigate the different dynamical characteristics based on this chaotic system. At last, an analog circuit is designed to implement the system, further verify the effectiveness in practical application.
引用
收藏
页码:591 / 594
页数:4
相关论文
共 14 条
[1]   Projective synchronisation of fractional-order memristive systems with different structures based on active control method [J].
Cang, Shijian ;
Chen, Zengqiang ;
Wang, Zenghui ;
Jia, Hongyan .
INTERNATIONAL JOURNAL OF SENSOR NETWORKS, 2013, 14 (02) :102-108
[2]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[3]   Chaos synchronization of the fractional Lu system [J].
Deng, WH ;
Li, CP .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 353 (1-4) :61-72
[4]   A new three-dimensional chaotic system: Dynamical properties and simulation [J].
Gholamin, P. ;
Sheikhani, A. H. Refahi .
CHINESE JOURNAL OF PHYSICS, 2017, 55 (04) :1300-1309
[5]  
Guo YL, 2015, J APPL ANAL COMPUT, V5, P168
[6]  
Jia H., 2016, CHAOTIC MODEL SIMUL, V3, P299
[7]  
Jia H., 2016, ATLANTIS PRESS, V60, P1005
[8]   Analysis and circuit design of a fractional-order Lorenz system with different fractional orders [J].
Jia, H. Y. ;
Tao, Q. ;
Chen, Z. Q. .
SYSTEMS SCIENCE & CONTROL ENGINEERING, 2014, 2 (01) :745-750
[9]   Chaos in the fractional order Chen system and its control [J].
Li, CG ;
Chen, GR .
CHAOS SOLITONS & FRACTALS, 2004, 22 (03) :549-554
[10]   Chaos in Chen's system with a fractional order [J].
Li, CP ;
Peng, GJ .
CHAOS SOLITONS & FRACTALS, 2004, 22 (02) :443-450