{"title":"Memory principle of the Matlab code for Lyapunov Exponents of fractional order","authors":"Marius-F. Danca, Michal feckan","doi":"arxiv-2406.04686","DOIUrl":null,"url":null,"abstract":"The paper presents two representative classes of Impulsive Fractional\nDifferential Equations defined with generalized Caputo\\'s derivative, with\nfixed lower limit and changing lower limit, respectively. Memory principle is\nstudied and numerical examples are considered. The problem of the memory\nprinciple of the Matlab code for Lyapunov exponents of fractional order systems\n[Danca & Kuznetsov, 2018] is analyzed.","PeriodicalId":501167,"journal":{"name":"arXiv - PHYS - Chaotic Dynamics","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Chaotic Dynamics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.04686","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The paper presents two representative classes of Impulsive Fractional
Differential Equations defined with generalized Caputo\'s derivative, with
fixed lower limit and changing lower limit, respectively. Memory principle is
studied and numerical examples are considered. The problem of the memory
principle of the Matlab code for Lyapunov exponents of fractional order systems
[Danca & Kuznetsov, 2018] is analyzed.