| 共存吸引子个数可调的混沌系统 |
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| 引用本文： | 颜闽秀,徐辉.共存吸引子个数可调的混沌系统[J].计算物理,2021,38(2):244-252. |
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| 作者姓名： | 颜闽秀 徐辉 |
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| 作者单位： | 1. 沈阳化工大学信息工程学院, 辽宁 沈阳 110142;2. 工业环境-资源协同控制与优化技术 辽宁省高校重点实验室, 辽宁 沈阳 110142 |
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| 基金项目： | 国家科技部中国-马其顿政府间科技合作项目（国科外[2017]25：5-5）及辽宁省教育厅项目（LZ2016006）资助 |
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| 摘 要： | 运用Silnikov定理构建一个具有共存吸引子且个数可调的混沌系统。首先在经典混沌系统基础上构建一个结构简单的混沌系统，分析系统的动力学特性，验证系统马蹄意义下的混沌特性。在此基础上，将多零点分段函数引入该系统，以扩展系统平衡点的方式来增加系统的不变集，进而建立具有共存吸引子个数可调的混沌系统，由于共存吸引子的复杂性，该系统在保密通信领域具有较好的应用价值。
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| 关 键 词： | 混沌系统 共存吸引子 分段函数 平衡点 Silnikov定理 |
| 收稿时间： | 2020-04-20 |
| 修稿时间： | 2020-06-24 |
A Chaotic System with Adjustable Number of Coexisting Attractors |
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| YAN Minxiu,XU Hui.A Chaotic System with Adjustable Number of Coexisting Attractors[J].Chinese Journal of Computational Physics,2021,38(2):244-252. |
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| Authors: | YAN Minxiu XU Hui |
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| Institution: | 1. College of Information Engineering, Shenyang University of Chemical Technology, Shenyang, Liaoning 110142, China;2. Key Laboratory for Industrial Environment-Resources Cooperative Control and Optimization Technology, Shenyang, Liaoning 110142, China |
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| Abstract: | A chaotic system with adjustable number of coexisting attractors was proposed with Silnikov theorem. Firstly, a chaotic system with simple structure is constructed based on a classical chaotic system. Dynamic properties of the system are investigated and chaotic characteristics of the system in the sense of horseshoe are verified. Then, multi-zero piecewise function is introduced into the system to expand balance point of the system with adding invariant set of the system. A chaotic system with adjustable number of coexisting attractors is established. Due to complexity of coexisting attractors, the system has potential application in secure communication. |
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| Keywords: | chaotic system coexistence attractor piecewise function equilibrium point Silnikov theorem |
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