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吸引子涡卷数量与分布的控制:系统设计及电路实现

武花干 包伯成 刘中

物理学报2011,Vol.60Issue(9):133-141,9.
物理学报2011,Vol.60Issue(9):133-141,9.

吸引子涡卷数量与分布的控制:系统设计及电路实现

Scroll number and distribution control of attractor: system design and circuit realization

武花干 1包伯成 2刘中1

作者信息

  • 1. 南京理工大学电子工程系,南京210094
  • 2. 常州大学信息科学与工程学院,常州213164
  • 折叠

摘要

Abstract

Through introducing two piecewise-linear functions into a three-dimensional linear system, a grid-scroll chaotic system with relatively simple algebraic of system structure is constructed. By deploying the zero points of the introduced saw-tooth function and modified saw-tooth function, the designs of the number and the distribution of the index-2 equilibrium points of the system are performed, and the controls of the scroll number and the scroll distribution of the chaotic attractor generated from the system are achieved. By using analog components such as operational amplifier, multiplier, etc., the saw-tooth function circuit, the modified saw-tooth function circuit and the three-dimensional linear system circuit are designed and the proposed grid-scroll chaotic system is implemented. The experimental results are in agreement with both theoretical analyses and numerical simulations, which verify the feasibility of the designs of the scroll number and scroll distribution of chaotic attractors.

关键词

混沌系统/吸引子/分段线性函数/电路实现

Key words

chaotic system/attractor/piecewise-linear function/circuit realization

分类

数理科学

引用本文复制引用

武花干,包伯成,刘中..吸引子涡卷数量与分布的控制:系统设计及电路实现[J].物理学报,2011,60(9):133-141,9.

基金项目

国家自然科学基金 ()

江苏省自然科学基金(批准号:BK2009105)资助的课题 ()

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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