| 一种新的四阶自治超混沌系统的生成及特性分析 |
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| 引用本文： | 孙德成,柏逢明.一种新的四阶自治超混沌系统的生成及特性分析[J].长春大学学报,2014(2):150-152. |
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| 作者姓名： | 孙德成 柏逢明 |
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| 作者单位： | 长春理工大学电子信息工程学院,长春130022 |
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| 摘 要： | 在一个三阶自治混沌系统的基础上,通过添加一个控制变量生成了一个新的四阶自治超混沌系统,并研究了此超混沌系统的平衡点、李雅普诺夫指数、相图等动力学特性。当导数的阶数变为3.6阶时,此超混沌系统变为分数阶超混沌系统,利用预估-校正方法,对此分数阶超混沌系统进行了数值仿真,通过生成的相图证明了此分数阶超混沌系统仍然表现出超混沌动力学行为。
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| 关 键 词： | 超混沌系统 平衡点 李雅普诺夫指数 预估-校正法 |
Analysis on the Generation of a New Four-order Autonomous Hyperchaotic System and Its Characteristics |
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| SUN De-cheng,BAI Feng-ming.Analysis on the Generation of a New Four-order Autonomous Hyperchaotic System and Its Characteristics[J].Journal of Changchun University,2014(2):150-152. |
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| Authors: | SUN De-cheng BAI Feng-ming |
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| Institution: | (School of Electronics and Information Engineering, Changchun University of Science and Technology, Changchun 130022, China) |
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| Abstract: | Based on a three-order autonomous chaotic system, this paper generates a new four-order autonomous hyperchaotic system by adding a control variable, and studies the dynamic characteristics of the system, including the equilibrium points, Lyapunov Exponent and phase diagrams. When the order of the derivative is 3.6, this system becomes a fractional order hyperchaotic system. According to prediction-correction method, the numerical simulation is made to this fractional order hyperchaotic system, and the hyperehaos dynam- ics behavior shown in it is proved by the generated diagrams. |
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| Keywords: | hyperchaotic system equilibrium point Lyapunov Exponent prediction-correction method |
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