Characterization of the Infinite State Representation of the Fractional Order Chaotic Lü System

Q3 Engineering

IFAC-PapersOnLine Pub Date : 2024-01-01 DOI:10.1016/j.ifacol.2024.08.240

引用次数: 0

Abstract

In this paper, the Infinite State Representation is applied to the fractional Lü chaotic system. Thanks to a finite dimension approximation, the original fractional order system is converted into a large dimension set of integer-order nonlinear equations whose initial conditions allow to test the butterfly effect of the equivalent chaotic system. This sensitivity to initial conditions is quantified thanks to Lyapunov exponents computed with an experimental technique. Then, the largest Lyapunov exponent is used as a fractional index to characterize the Infinite State Representation.

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分数阶混沌吕氏系统的无穷状态表征

本文将无限状态表示法应用于分数吕混沌系统。通过有限维近似，原始分数阶系统被转换成一个大维度的整数阶非线性方程组，其初始条件允许测试等效混沌系统的蝴蝶效应。通过实验技术计算出的 Lyapunov 指数可以量化这种对初始条件的敏感性。然后，最大的 Lyapunov 指数被用作描述无限状态表征的分数指数。

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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来源期刊

IFAC-PapersOnLine Engineering-Control and Systems Engineering

CiteScore

1.70

自引率

0.00%

发文量

1122

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