| 基于引力场理论的混沌同步 |
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| 引用本文： | 查进道,李春彪.基于引力场理论的混沌同步[J].计算物理,2018,35(6):737-749. |
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| 作者姓名： | 查进道 李春彪 |
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| 作者单位： | 1. 江苏经贸职业技术学院, 南京 211168;2. 南京信息工程大学电子与信息工程学院, 南京 210044 |
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| 基金项目： | 江苏省高校自然基金（16KJB120004）资助项目 |
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| 摘 要： | 通过引入分布引力场，将混沌系统的同步问题等效为引力场中系统运行轨道一致问题，从而实现更多不同动力学混沌系统的同步.通过将混沌系统之间的耦合度定义为速度，因其与运动方程无关，从而有别于常见的混沌同步控制项，具有较强通用性.基于轨道逼近导出引力场中多个混沌系统同步的条件，给出同步轨道方程.数值仿真实验说明了该方法的有效性.
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| 关 键 词： | 混沌系统 引力场 同步 |
| 收稿时间： | 2017-09-11 |
| 修稿时间： | 2017-12-18 |
Chaos Synchronization Based on Gravitational Field Theory |
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| ZHA Jindao,LI Chunbiao.Chaos Synchronization Based on Gravitational Field Theory[J].Chinese Journal of Computational Physics,2018,35(6):737-749. |
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| Authors: | ZHA Jindao LI Chunbiao |
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| Institution: | 1. Jiangsu Vocational Institute of Commerce, Jiangsu, Nanjing 211168, China;2. School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Jiangsu, Nanjing 210044, China |
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| Abstract: | By introducing concept of gravitational field, synchronization issue of chaotic system is equivalent to orbit consistency of the system in the gravitational field. By this approach the realization of synchronization can be obtained in those chaotic systems with different dynamics. Since the coupling between different chaotic systems is defined as velocity variable which has nothing to do with equation of motion and is different from regular synchronization controller, the proposed method is a more general one for chaos synchronization. Based on orbit approximation, the conditions for synchronization of multiple chaotic systems in gravitational field are derived, and synchronous orbit equation is given. Numerical simulations show the effectiveness of the proposed method. |
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| Keywords: | chaotic system gravitational field synchronization |
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