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

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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。

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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.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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