| 一个新的三维二次自治混沌系统及其研究 |
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| 引用本文： | 谢国波,禹思敏,周武杰.一个新的三维二次自治混沌系统及其研究[J].通信技术,2009,42(1):267-270. |
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| 作者姓名： | 谢国波 禹思敏 周武杰 |
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| 作者单位： | 广东工业大学自动化学院,广东,广州,510006 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 提出了一个新的三维二次自治混沌系统。该系统具有四个参数和两个非线性项，其中的一个参数为分岔参数，二个非线性项分别为乘积项z^2和交叉乘积项xy。随着分岔参数值的改变，系统的振荡机制由周期态演变为混沌态。通过理论分析和计算机模拟以及最大李氏指数和分岔的计算，对系统的基本动力学特性进行了研究。采用模块化设计方法对该系统进行了混沌电路设计与实验，给出了实验结果。电路实验与计算机模拟结果相一致，证实了该系统的混沌特性。
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| 关 键 词： | 三维二次自治混沌系统 计算机模拟 模块化设计 电路实验 |
A Novel Three-Dimensional Quadratic Autonomous Chaotic System |
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| XIE Guo-bo,YU Si-min,ZHOU Wu-jie.A Novel Three-Dimensional Quadratic Autonomous Chaotic System[J].Communications Technology,2009,42(1):267-270. |
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| Authors: | XIE Guo-bo YU Si-min ZHOU Wu-jie |
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| Affiliation: | (College of Automation, Guangdong University of Technology, Guangzhou Guangdong 510006, China) |
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| Abstract: | A novel three-dimensional quadratic autonomous chaotic system is proposed. The proposed system is provided with four parameters, among which one is bifurcation parameter, and two nonlinear items, which are product z^2 and across product xy, respectively. The oscillation mechanism of the system is evolved from periodic state to chaotic state with the adjustment of bifurcation parameter. Basic dynamic properties of the system are examined via theoretical analysis, computer simulation, Lyapunov exponent spectrum and bifurcation calculation. With modular method, an electronic circuit is designed to realize the chaotic system. Circuit experiment is identical to computer simulation, and chaotic characteristic is thus verified . |
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| Keywords: | three-dimensional quadratic autonomous chaotic system computer simulation module design circuit experiment |
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