可解的非线性 2 个递推系统显示出有趣的演变

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-07-20 DOI:arxiv-2407.18270

Francesco Calogero

{"title":"可解的非线性 2 个递推系统显示出有趣的演变","authors":"Francesco Calogero","doi":"arxiv-2407.18270","DOIUrl":null,"url":null,"abstract":"In this paper a class of simple, but nonlinear, systems of recursions\ninvolving $2$ dependent variables $x_{j}\\left( n\\right) $ is identified, such\nthat the solutions of their initial-values problems -- with arbitrary initial\ndata $x_{j}\\left( 0\\right) $ -- may be explicitly obtained.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Solvable nonlinear systems of 2 recursions displaying interesting evolutions\",\"authors\":\"Francesco Calogero\",\"doi\":\"arxiv-2407.18270\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a class of simple, but nonlinear, systems of recursions\\ninvolving $2$ dependent variables $x_{j}\\\\left( n\\\\right) $ is identified, such\\nthat the solutions of their initial-values problems -- with arbitrary initial\\ndata $x_{j}\\\\left( 0\\\\right) $ -- may be explicitly obtained.\",\"PeriodicalId\":501592,\"journal\":{\"name\":\"arXiv - PHYS - Exactly Solvable and Integrable Systems\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - PHYS - Exactly Solvable and Integrable Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.18270\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Exactly Solvable and Integrable Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.18270","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文确定了一类简单但非线性的递推系统，它们涉及 2 美元的因变量 $x_{j}\left(n\right)$，因此可以明确地得到它们的初值问题的解--具有任意初始数据 $x_{j}\left( 0\right) $。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Solvable nonlinear systems of 2 recursions displaying interesting evolutions

In this paper a class of simple, but nonlinear, systems of recursions involving $2$ dependent variables $x_{j}\left( n\right) $ is identified, such that the solutions of their initial-values problems -- with arbitrary initial data $x_{j}\left( 0\right) $ -- may be explicitly obtained.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - PHYS - Exactly Solvable and Integrable Systems

自引率

0.00%

发文量