Convex symmetric rectangular pentagon central configurations

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-08-05 DOI:10.1016/j.cnsns.2024.108250

引用次数: 0

Abstract

A convex rectangular pentagon, also called house-shaped, is a pentagon with the added restriction that two non-adjacent sides have equal lengths, each of which forms a right angle with the intervening side. In this paper, we focus on the existence of central configurations of the 5-body problem, where the five bodies are in a symmetric house-shaped configuration. That is, when the five bodies are located at the vertices of a convex rectangular pentagon, and moreover, the body not belonging to the two parallel sides lies along the symmetry line.

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凸面对称矩形五边形中心构型

凸矩形五边形又称、，是一种五边形，其附加限制条件是两个不相邻的边长度相等，且每个边都与中间的边形成直角。在本文中，我们主要研究五体问题的中心构型的存在性，即五个体呈对称的屋形构型。也就是说，当五个体位于凸矩形五边形的顶点时，而且不属于两条平行边的体位于对称线上。

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.