| 新五维超混沌Lorenz系统 |
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| 引用本文： | 柳妮.新五维超混沌Lorenz系统[J].重庆文理学院学报(自然科学版),2011,30(5):75-79. |
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| 作者姓名： | 柳妮 |
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| 作者单位： | 四川文理学院物理与工程技术系,四川达州,635000 |
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| 摘 要： | 通过加入线性和非线性状态反馈控制器的方法到三维Lorenz系统中,构造出了五维新超混沌Lorenz系统,详细研究了其动力学行为,包括平衡点的稳定性、随参数变化的分岔图、奇怪吸引子和李雅普诺夫指数谱等随参数范围变化关系.结果表明,新五维超混沌Lorenz系统具有较大的使系统处于超混沌状态的参数范围,且使系统处于混沌状态的...
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| 关 键 词： | 超混沌系统 周期轨道 拟周期轨道 分岔图 李雅普诺夫指数 |
A new five-dimensional hyperchaotic Lorenz system |
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| Abstract: | A new five-dimensional hyperchaotic Lorenz system has been constructed by adding a linear feedback controller and a nonlinear feedback controller to the three-dimensional chaotic Lorenz system.The dynamic behaviors including the stability of equilibriums,the bifurcation diagram,strange attractors and Lyapunov exponents are studied when the system parameter ris varied in detail.The results of this study show the new five-dimensional hyperchaotic Lorenz system has a wide parameter range which makes the system in hyperchaos state and has very a narrow range that make the system in chaos state.The system also has a wide parameter range that make system in periodic orbit and quasi-periodic orbit.The process of the new system＇s behaviors is very obvious. |
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| Keywords: | hyperchaotic system periodic orbit quasi-periodic orbit bifurcation diagram Lyapunov exponents |
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