Volterra可积情况：新型解析与数值结果
可精确求解与可积系统
2024-10-16 v3
摘要
本文重新考察了1937年由Vito Volterra提出的Hamiltonian N种Volterra系统的可积情况，显著丰富了本文作者（M. Scalia和O. Ragnisco）于2019年在ArXiv上发表的已有结果。事实上，我们提出了一种新的保守量构造方法，并就运动方程的解进行了讨论；我们主要展示了新的解析和数值结果，从经典捕食者-猎物模型出发，延伸至一般N种模型。
关键词
引用
@article{arxiv.2407.09155,
title = {The Volterra Integrable case. Novel analytical and numerical results},
author = {M. Scalia and O. Ragnisco and B. Tirozzi and F. Zullo},
journal= {arXiv preprint arXiv:2407.09155},
year = {2024}
}
备注
24 pages, 9 figures. This paper is a natural prosecution of the work arXiv:1903.03595 and presents different enrichments and enhancements of the results there appeared. In this second version several typos have been corrected