两个耦合谐振子的数值方面

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI:10.2478/auom-2020-0001

J. Asad, O. Florea

{"title":"两个耦合谐振子的数值方面","authors":"J. Asad, O. Florea","doi":"10.2478/auom-2020-0001","DOIUrl":null,"url":null,"abstract":"Abstract In this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system. Finally, numerical and analytic solution for these equations have been presented for some chosen initial conditions.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"1 1","pages":"15 - 5"},"PeriodicalIF":0.8000,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Numerical aspects of two coupled harmonic oscillators\",\"authors\":\"J. Asad, O. Florea\",\"doi\":\"10.2478/auom-2020-0001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system. Finally, numerical and analytic solution for these equations have been presented for some chosen initial conditions.\",\"PeriodicalId\":55522,\"journal\":{\"name\":\"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica\",\"volume\":\"1 1\",\"pages\":\"15 - 5\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2020-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2478/auom-2020-0001\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2478/auom-2020-0001","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 3

摘要

摘要本文研究了一个有趣的对称线性系统。作为第一步，我们得到了系统的拉格朗日。其次，导出了系统的经典欧拉-拉格朗日方程。最后，在选定的初始条件下，给出了这些方程的数值解和解析解。

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

Numerical aspects of two coupled harmonic oscillators

Abstract In this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system. Finally, numerical and analytic solution for these equations have been presented for some chosen initial conditions.

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

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.