| Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems |
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| 作者姓名： | 禹思敏 马在光 丘水生 彭世国 林清华 |
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| 作者单位： | College of Automation, Guangdong University of Technology, Guangzhou 510090, China;Department of Applied Physics, South China University of Technology, Guangzhou 510640, China;College of Electronic & Information Engineering, South China University of Technology, Guangzhou 510640, China;Department of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, China;Department of Applied Physics, Guangdong University of Technology, Guangzhou 510090, China |
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| 基金项目： | Project supported by the Natural Science Foundation of Guangdong Province (Grant No 032469), and the National Natural Science Foundation of China (Grant No 69672022), and the Doctoral Foundation of the State Education Ministry of China (Grant No 00056107), and the Natural Science Foundation of the Education Department of Guangdong Province (Grant No 010042). |
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| 摘 要： | Based on our previous works and Lyapunov stability theory, this paper studies the generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems. A fourth-order circuit, by introducing additional breakpoints in the modified Chua oscillator, is implemented for the study of generation and synchronization of N-scroll chaotic attractors.This confirms the consistency of theoretical calculation, numerical simulation and circuit experiment.Furthermore,we give a refined and extended study of generating and synchronizing N-scroll hyperchaotic attractors in the fourth-order MCK system and report the new theoretical result, which is verified by computer simulations.
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| 关 键 词： | 第四阶系统 N形卷动混沌吸引器 N形卷动超混沌吸引器 四阶循环 同步 混沌通信 |
| 收稿时间： | 6/6/2003 12:00:00 AM |
Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems |
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| Yu Si-Min,Ma Zai-Guang,Qiu Shui-Sheng,Peng Shi-Guo and Lin Qing-Hua.Generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems[J].Chinese Physics B,2004,13(3):317-328. |
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| Authors: | Yu Si-Min Ma Zai-Guang Qiu Shui-Sheng Peng Shi-Guo and Lin Qing-Hua |
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| Institution: | College of Automation, Guangdong University of Technology, Guangzhou 510090, China; College of Electronic & Information Engineering, South China University of Technology, Guangzhou 510640, China; Department of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, China; Department of Applied Physics, Guangdong University of Technology, Guangzhou 510090, China; (5)Department of Applied Physics, South China University of Technology, Guangzhou 510640, China |
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| Abstract: | Based on our previous works and Lyapunov stability theory, this paper studies the generation and synchronization of N-scroll chaotic and hyperchaotic attractors in fourth-order systems. A fourth-order circuit, by introducing additional breakpoints in the modified Chua oscillator, is implemented for the study of generation and synchronization of N-scroll chaotic attractors. This confirms the consistency of theoretical calculation, numerical simulation and circuit experiment. Furthermore, we give a refined and extended study of generating and synchronizing N-scroll hyperchaotic attractors in the fourth-order MCK system and report the new theoretical result, which is verified by computer simulations. |
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| Keywords: | fourth-order systems N-scroll chaotic attractors N-scroll hyperchaotic attractors N-scroll system synchronization |
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