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arXiv 1604.02671math.DS
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离散Lorenz系统的计算复杂动力学

Computational Complex Dynamics Of The Discrete Lorenz System

Sk Sarif Hassan

摘要:

在$1963$中,E. N.洛伦兹后来,人们对复变数的经典Lorenz系统和实变量的离散Lorenz系统进行了广泛的研究。据作者所知,到目前为止还没有关于复变数离散Lorenz系统的研究。本文试图观察和理解具有复变数的Lorenz系统的离散动力学。本研究比较了含复变数的Lorenz系统与含实复变数的经典Lorenz系统的离散动力学。

英文摘要:

The dynamics of the classical Lorenz system is well studied in $1963$ by E. N. Lorenz. Later on, there have been an extensive studies on the classical Lorenz system with the complex variables and the discrete time Lorenz system with real variables. To the best of knowledge of the author, so far there is no study on discrete time Lorenz system in complex variables. In this article, an attempt has been made to observe and understand the discrete dynamics of the Lorenz system with complex variables. This study compares the discrete dynamics of the Lorenz system with complex variables to that of the classical Lorenz system involving real and complex variables.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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