Homogeneous darboux polynomials and generalising integrable ODE systems

IF 1 Q3 Engineering

Journal of Computational Dynamics Pub Date : 2020-02-20 DOI:10.3934/jcd.2021001

Peter H. van der Kamp, D. McLaren, G. Quispel

引用次数: 0

Abstract

We show that any system of ODEs can be modified whilst preserving its homogeneous Darboux polynomials. We employ the result to generalise a hierarchy of integrable Lotka-Volterra systems.

查看原文本刊更多论文

齐次达布多项式与广义可积ODE系统

我们证明了在保持其齐次达布多项式的情况下，可以对任何ode系统进行修正。我们利用这个结果推广了可积Lotka-Volterra系统的层次。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Computational Dynamics Engineering-Computational Mechanics

CiteScore

2.30

自引率

10.00%

发文量

期刊介绍： JCD is focused on the intersection of computation with deterministic and stochastic dynamics. The mission of the journal is to publish papers that explore new computational methods for analyzing dynamic problems or use novel dynamical methods to improve computation. The subject matter of JCD includes both fundamental mathematical contributions and applications to problems from science and engineering. A non-exhaustive list of topics includes * Computation of phase-space structures and bifurcations * Multi-time-scale methods * Structure-preserving integration * Nonlinear and stochastic model reduction * Set-valued numerical techniques * Network and distributed dynamics JCD includes both original research and survey papers that give a detailed and illuminating treatment of an important area of current interest. The editorial board of JCD consists of world-leading researchers from mathematics, engineering, and science, all of whom are experts in both computational methods and the theory of dynamical systems.