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物理学报. 2005, 54(4): 1500-1509.
doi: 10.7498/aps.54.1500.
用三角波序列产生三维多涡卷混沌吸引子的电路实验
- 收稿日期: 2004-08-11
- 修回日期: 2004-11-26
- 刊出日期: 2005-02-05
摘要: 提出用三角波序列产生三维多涡卷混沌吸引子的新方法.分析了用三角波序列构造多涡卷 系统的混沌动力学特性，设计了硬件实验电路，进行了相关的电路实验研究.该混沌电路由 积分器N11、三角波序列发生器N22，N33，N44和联动转换开关K共3个部分构成，主要特 点是三角波序列的幅度、宽度、平衡点、转折点、斜率等参数可调，从而能产生大小和形状 可调的多涡卷.此外，通过联动开关K的转换可控制涡卷的数量.硬件电路实验研究结果表明
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关键词:
- 三维多涡卷混沌吸引子 /
- 三维多涡卷混沌电路 /
- 三角波序列 /
- 电路实验
English Abstract
Circuit implementation for generating three-dimensional multi-scroll chaotic att ractors via triangular wave series
- Received Date:
11 August 2004
- Accepted Date:
26 November 2004
- Published Online:
05 February 2005
Abstract: This paper proposes a new approach for generating three_dimensional (3_D) multi_scroll chaotic attractors via triangular wave series. The chaotic dynamic char acteristic of multi_scroll system constructed by triangular wave series is furth er investigated. The hardware experimental circuit is designed and the interrela ted circuit implementation is realized. A blocking circuit diagram, including in tegrator N11, triangular wave series generators N22, N33 and N44, switch linkage K, is designed for the hardware imp lementations. The triangular wave series developed here can adjust the swings, w idths, equilibrium points, breakpoints, and slopes so as to generate a large num ber of scrolls with adjustable sizes and shapes. Moreover, the number of scrolls can be controlled via switching of the switch linkage K. The experimental resul t demonstrates that this method can be a new approach for generating 3_D multi_s croll chaotic attractors with up to 21_scrolls in practical circuit by construct ing a family of triangular wave series with adjustable parameters.
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