非线性动力系统循环轨迹分形和混沌分量的行为分析方法与途径

2021 IEEE 12th International Conference on Electronics and Information Technologies (ELIT) Pub Date : 2021-05-19 DOI:10.1109/ELIT53502.2021.9501125

G. Vostrov, A. Khrinenko

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引用次数: 0

摘要

本文考虑映射中的过程，这是非线性动力系统的一个例子。在分析动力系统时，必须考虑和分析决定非重复迭代过程长度的迭代函数的性质。结果表明，不仅函数的性质会影响非线性映射的行为，而且所考虑的函数域上的数的性质也会影响非线性映射的行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Methods and Approaches for Behavior Analysis of Fractal and Chaotic Components of Cyclic Trajectories of Nonlinear Dynamical Systems

This paper considers the processes in maps, which are examples of nonlinear dynamical systems. Analysing dynamical systems, it is necessary to take into account and analyze properties of iterative functions that determine the length of nonrepetitive iterative process. It is shown that not only properties of functions, but also properties of numbers from the considered functions domain influence the nonlinear maps behavior.

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2021 IEEE 12th International Conference on Electronics and Information Technologies (ELIT)

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