DIFFERENCE EQUATION OF LORENZ SYSTEM

DIFFERENCE EQUATION OF LORENZ SYSTEM
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洛伦兹系统的差分方程

DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Jian
Jian
中科院分区：
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文献类型：
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作者：
Wanqing Song;Jian

文献摘要

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本文利用差分方程来探讨洛伦兹方程的一些较明显的性质。我们将研究当参数r变化时洛伦兹方程解的行为的变化。分析了迭代方程放大后相空间中的轨迹。用递归图描述相空间中两个状态i和j之间的距离，可以揭示混沌系统轨迹随时间变化的运动特征。
This paper uses difference equation to explore some of the more obvious properties of the Lorenz equation. We will investigate changes in the behavior of solutions of the Lorenz equation as the parameter r is varied. A trajectory in phase space is analyzed when iterative equation is magnified. The distance between two states i and j in the phase space is described by recurrence plots which may reveal the motion feature of chaos system trajectory with time change.