伏特拉积分情况。新颖的分析和数值结果

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-07-12 DOI:arxiv-2407.09155

M. Scalia, O. Ragnisco, B. Tirozzi, F. Zullo

{"title":"伏特拉积分情况。新颖的分析和数值结果","authors":"M. Scalia, O. Ragnisco, B. Tirozzi, F. Zullo","doi":"arxiv-2407.09155","DOIUrl":null,"url":null,"abstract":"In the present paper we reconsider the integrable case of the Hamiltonian\n$N$-species Volterra system, as it has been introduced by Vito Volterra in\n1937, and significantly enrich the results already published in the ArXiv in\n2019. In fact, we present a new approach to the construction of conserved\nquantities and comment about the solutions of the equations of motion; we\ndisplay mostly new analytical and numerical results, starting from the\nclassical predator-prey model till the general $N-$species model.","PeriodicalId":501592,"journal":{"name":"arXiv - PHYS - Exactly Solvable and Integrable Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Volterra Integrable case. Novel analytical and numerical results\",\"authors\":\"M. Scalia, O. Ragnisco, B. Tirozzi, F. Zullo\",\"doi\":\"arxiv-2407.09155\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper we reconsider the integrable case of the Hamiltonian\\n$N$-species Volterra system, as it has been introduced by Vito Volterra in\\n1937, and significantly enrich the results already published in the ArXiv in\\n2019. In fact, we present a new approach to the construction of conserved\\nquantities and comment about the solutions of the equations of motion; we\\ndisplay mostly new analytical and numerical results, starting from the\\nclassical predator-prey model till the general $N-$species model.\",\"PeriodicalId\":501592,\"journal\":{\"name\":\"arXiv - PHYS - Exactly Solvable and Integrable Systems\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-12\",\"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-2407.09155\",\"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-2407.09155","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

在本文中，我们重新考虑了维托-沃尔特拉（Vito Volterra）1937 年提出的汉密尔顿 N$ 种沃尔特拉系统的可积分情况，并极大地丰富了 2019 年发表在 ArXiv 上的结果。事实上，我们提出了一种构建守恒量的新方法，并对运动方程的解进行了评论；从经典的捕食者-猎物模型到一般的 $N-$ 种模型，我们展示了大部分新的分析和数值结果。

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

The Volterra Integrable case. Novel analytical and numerical results

In the present paper we reconsider the integrable case of the Hamiltonian $N$-species Volterra system, as it has been introduced by Vito Volterra in 1937, and significantly enrich the results already published in the ArXiv in 2019. In fact, we present a new approach to the construction of conserved quantities and comment about the solutions of the equations of motion; we display mostly new analytical and numerical results, starting from the classical predator-prey model till the general $N-$species model.

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