A Systematic Approach to Generating n-scroll attractors

A Systematic Approach to Generating n-scroll attractors
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DOI:
10.1142/s0218127402006230
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发表时间:
2002-12
期刊:
Int. J. Bifurc. Chaos
影响因子:
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通讯作者:
G. Zhong;K. Man;Guanrong Chen
G. Zhong;K. Man;Guanrong Chen
中科院分区:
其他
文献类型:
--
作者:
G. Zhong;K. Man;Guanrong Chen

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提出了一种基于蔡氏电路的产生n卷吸引子(n =1 ; 2; 3;::)的新电路设计.在这个设计中,蔡氏电路中的非线性电阻器是通过一个系统的程序,使用基本的积木。利用该构造方案,可以独立地调节电路的v{i}特性的斜率和断点,并且可以容易地产生具有偶数或奇数涡卷的混沌吸引子.不同的吸引子与n-涡卷(n =5 ; 6; 7; 8; 9; 10),得到了这个简单的实验装置证明。
A new circuitry design based on Chua’s circuit for generating n-scroll attractors (n =1 ; 2; 3;:::) is proposed. In this design, the nonlinear resistor in Chua’s circuit is constructed via a systematical procedure using basic building blocks. With the proposed construction scheme, the slopes and break points of the v{i characteristic of the circuit can be tuned independently, and chaotic attractors with an even or an odd number of scrolls can be easily generated. Distinct attractors with n-scrolls (n =5 ; 6; 7; 8; 9; 10) obtained with this simple experimental set-up are demonstrated.