The Dynamics of the Ladder System

IF 1.5 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Journal of the Physical Society of Japan Pub Date : 2023-12-12 DOI:10.7566/jpsj.93.014001

Jaume Llibre, Claudia Valls

引用次数: 0

Abstract

We consider the n-dimensional ladder system, that is the homogeneous differential systems of the form \(\mathop {\dot{x}}\nolimits_{i} = x_{i}\displaystyle\sum_{j = 1}^{n} \,(i + 1 - j)x_{j},\quad i = 1, \ldots ,n\) introduced by Imai and Hirata for studying the integrability of a new class of Lotka–Volterra systems. Here we describe the dynamics of these Lotka–Volterra systems in arbitrary dimension.

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阶梯系统的动力

我们考虑 n 维阶梯系统，即形式为（\mathop {\dot{x}}\nolimits_{i} = x_{i}\displaystyle\sum_{j = 1}^{n} 的均相微分系统。\,(i + 1 - j)x_{j},\quad i = 1, \ldots ,n\) 由 Imai 和 Hirata 引入，用于研究一类新的 Lotka-Volterra 系统的可整性。在此，我们将描述这些 Lotka-Volterra 系统在任意维度下的动力学特性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Physical Society of Japan 物理-物理：综合

CiteScore

3.40

自引率

17.60%

发文量

325

审稿时长

3 months

期刊介绍： The papers published in JPSJ should treat fundamental and novel problems of physics scientifically and logically, and contribute to the development in the understanding of physics. The concrete objects are listed below. Subjects Covered JPSJ covers all the fields of physics including (but not restricted to) Elementary particles and fields Nuclear physics Atomic and Molecular Physics Fluid Dynamics Plasma physics Physics of Condensed Matter Metal, Superconductor, Semiconductor, Magnetic Materials, Dielectric Materials Physics of Nanoscale Materials Optics and Quantum Electronics Physics of Complex Systems Mathematical Physics Chemical physics Biophysics Geophysics Astrophysics.