Design and implementation of n-scroll chaotic attractors from a general jerk circuit

doi:10.1109/TCSI.2005.851717

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	Design and implementation of n-scroll chaotic attractors from a general jerk circuit
	Yu, SM ; Lu, JH ; Leung, H ; Chen, GR
	2005-07-01
发表期刊	IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
ISSN	1057-7122
卷号	52 期号:7 页码:1459-1476
摘要	This paper proposes a novel nonlinear modulating function approach for generating n-scroll chaotic attractors based on a general jerk circuit. The systematic nonlinear modulating function methodology developed here can arbitrarily design the swings, widths, slopes, breakpoints, equilibrium points, shapes, and even the general phase portraits of the n-scroll chaotic attractors by using the adjustable sawtooth wave, triangular wave, and transconductor wave functions. The dynamic mechanism and chaos generation condition of the general jerk circuit are further investigated by analyzing the system stability. A simple block circuit diagram, including integrator, sawtooth wave and triangular wave generators, buffer, switch linkages, and voltage-current conversion resistors, is designed for the hardware implementations of various 3-12-scroll chaotic attractors via switchings of the switch linkages. This is the first time to experimentally verify a 12-scroll chaotic attractor generated by an analog circuit. In particular, the recursive formulas of system parameters and real physical circuit parameters are rigorously derived for the hardware implementations of the n-scroll chaotic attractors. Moreover, the adjustability of the nonlinear modulating function and the rigorous recursive formulas together provide a theoretical principle for the hardware implementations of various chaotic attractors with a large number of scrolls.
关键词	jerk circuit modulating function sawtooth wave triangular wave transconductor wave n-scroll chaotic attractor
DOI	10.1109/TCSI.2005.851717
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
WOS记录号	WOS:000230710100020
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1800
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, SM
作者单位	1.Guangdong Univ Technol, Coll Automat, Guangzhou 510090, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Univ Calgary, Dept Elect & Comp Engn, Calgary, AB T2N 1N4, Canada 4.City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Yu, SM,Lu, JH,Leung, H,et al. Design and implementation of n-scroll chaotic attractors from a general jerk circuit[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,2005,52(7):1459-1476.
APA	Yu, SM,Lu, JH,Leung, H,&Chen, GR.(2005).Design and implementation of n-scroll chaotic attractors from a general jerk circuit.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS,52(7),1459-1476.
MLA	Yu, SM,et al."Design and implementation of n-scroll chaotic attractors from a general jerk circuit".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 52.7(2005):1459-1476.