| 统一混沌系统的修改模型及同步设计 |
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| 引用本文： | 丰建文,何玲,吴耿,代安定.统一混沌系统的修改模型及同步设计[J].深圳大学学报(理工版),2010,27(1). |
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| 作者姓名： | 丰建文 何玲 吴耿 代安定 |
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| 作者单位： | 深圳大学数学与计算科学学院,深圳,518060 |
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| 基金项目： | 广东省自然科学基金，深圳市公共科技资助项目 |
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| 摘 要： | 通过用分段线性符号函数替换统一混沌系统中部分二次项,得到一个新分段连续的自治系统(称为统一混沌系统修改模型).对该系统性质做定性分析,验证其动力学性态为混沌,运用反馈控制和自适应控制方法,证明两个统一混沌系统的修改模型为同步,数值模拟计算验证了所提同步设计的正确性.
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| 关 键 词： | 系统学 反馈控制 自适应控制 混沌同步 统一混沌系统的修改模型 |
Modified model of unified chaotic system and the design of synchronization |
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| FENG Jian-wen,HE Ling,WU Geng,DAI An-ding.Modified model of unified chaotic system and the design of synchronization[J].Journal of Shenzhen University(Science &engineering),2010,27(1). |
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| Authors: | FENG Jian-wen HE Ling WU Geng DAI An-ding |
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| Affiliation: | FENG Jian-wen,HE Ling,WU Geng,, DAI An-ding College of Mathematics , Computational Science Shenzhen University Shenzhen 518060 P.R.China |
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| Abstract: | A new simplified three-dimensional piecewise continuous autonomous system(a modified model of unified chaotic system) was introduced by replacing a quadratic nonlinear term in a unified chaotic system with a piecewise linear signum function.The qualitative properties of this modified model were studied to substantiate that it is a chaotic system.Two kinds of nonlinear controllers were designed to theoretically synchronize two uncertain modified models of unified chaotic system.Numerical simulations were pre... |
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| Keywords: | systematics feedback control law adaptive control synchronization modified model of unified chaotic system |
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