| 新高次四维超混沌系统的广义反同步 |
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| 引用本文： | 郑莉,孙常春. 新高次四维超混沌系统的广义反同步[J]. 沈阳工业大学学报, 2005, 42(5): 569-572. DOI: 10.7688/j.issn.1000-1646.2020.05.17 |
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| 作者姓名： | 郑莉 孙常春 |
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| 作者单位： | 沈阳建筑大学 理学院, 沈阳 110168 |
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| 基金项目： | 辽宁省自然科学基金项目(20180550060) |
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| 摘 要： | 为了将新的、特殊的混沌系统应用在保密信号、图像加密和电路实现等领域,提出了一个带13次项的超高次四维超混沌系统.通过计算机模拟出了三维空间及二维平面相图,计算了Lyapunov指数谱,分析了该系统的平衡点.根据Lyapunov稳定性理论,设计出非线性反同步控制器,在反同步控制器的作用下,驱动系统与响应系统能够迅速同步.通过Matlab试验平台验证了该控制器的有效性.
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| 关 键 词： | 混沌 四维混沌系统 超混沌系统 高次项 Lyapunov指数谱 平衡点 广义同步 反同步 |
Generalized anti-synchronization of new high-order four-dimensional hyperchaotic system |
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| ZHENG Li,SUN Chang-chun. Generalized anti-synchronization of new high-order four-dimensional hyperchaotic system[J]. Journal of Shenyang University of Technology, 2005, 42(5): 569-572. DOI: 10.7688/j.issn.1000-1646.2020.05.17 |
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| Authors: | ZHENG Li SUN Chang-chun |
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| Affiliation: | School of Science, Shenyang Jianzhu University, Shenyang 110168, China |
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| Abstract: | In order to apply a new and special chaotic system to secure signals, image encryption, circuit implementation and other fields, a high order four-dimensional hyperchaotic system with 13 terms was proposed. Three-dimensional space and two-dimensional plane phase diagrams were simulated by computers, the Lyapunov exponential spectrum was calculated, and the equilibrium point of the system was analyzed. According to Lyapunov stability theory, a nonlinear anti-synchronization controller was designed. The response system can synchronize with the driving system under the action of anti-synchronization controller. The effectiveness of the controller was verified by the Matlab test platform. |
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| Keywords: | chaos four-dimensional chaotic system hyperchaotic system high order term Lyapunov exponential spectrum equilibrium point generalized synchronization anti-synchronization |
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