Fractional logistic map with fixed memory length

IF 2.4 4区计算机科学 Q2 COMPUTER SCIENCE, THEORY & METHODS

International Journal of General Systems Pub Date : 2023-04-25 DOI:10.1080/03081079.2023.2201001

S. E. I. Bouzeraa, R. Bououden, Mohammed Salah Abdelouahab

引用次数: 0

Abstract

ABSTRACT This paper investigates the discrete fractional-order logistic map and reports its fractional order with a fixed memory length version. The dynamic of the proposed system is analyzed using the bifurcation diagram and the recently introduced 0–1 test. It is shown that this fractional order with a fixed memory length logistic map can exhibit rich nonlinear dynamics such as period-doubling bifurcation and chaos. Furthermore, it does not require significant time to perform the calculations.

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具有固定记忆长度的分数逻辑映射

摘要本文研究了离散分数阶逻辑映射，并报告了其具有固定存储长度版本的分数阶。使用分岔图和最近引入的0–1测试对所提出的系统的动力学进行了分析。结果表明，这种具有固定记忆长度逻辑映射的分数阶可以表现出丰富的非线性动力学，如倍周期分岔和混沌。此外，执行计算不需要大量时间。

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

International Journal of General Systems 工程技术-计算机：理论方法

CiteScore

4.10

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： International Journal of General Systems is a periodical devoted primarily to the publication of original research contributions to system science, basic as well as applied. However, relevant survey articles, invited book reviews, bibliographies, and letters to the editor are also published. The principal aim of the journal is to promote original systems ideas (concepts, principles, methods, theoretical or experimental results, etc.) that are broadly applicable to various kinds of systems. The term “general system” in the name of the journal is intended to indicate this aim–the orientation to systems ideas that have a general applicability. Typical subject areas covered by the journal include: uncertainty and randomness; fuzziness and imprecision; information; complexity; inductive and deductive reasoning about systems; learning; systems analysis and design; and theoretical as well as experimental knowledge regarding various categories of systems. Submitted research must be well presented and must clearly state the contribution and novelty. Manuscripts dealing with particular kinds of systems which lack general applicability across a broad range of systems should be sent to journals specializing in the respective topics.