The period function of potential systems of polynomials with real zeros
type: Item
instance of: scholarly article
title: The period function of potential systems of polynomials with real zeros
zbMATH Open document ID: 1191.34055
published in: Bulletin des Sciences Mathématiques
publication date: 2009-09-29T00:00:00Z
review text: This paper focuses on the potential system of the form \[ x''(t)+g(x)=0, \] where \(g(x)\) is a polynomial whose roots are all real, and explores the analytic behaviors of the period function of period annuli of the potential system such as the convexity, monotonicity and number of critical points. As application, the authors provide a purely analytical and shorter proof of a result for the case \(\deg g=4\) obtained by means of computer algebra in [\textit{C. Li, K. Lu}, Nonlinearity 21, No.~3, 465--483 (2008; Zbl 1142.34016)].
reviewed by: Meng Fan
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5608809
zbMATH Keywords: period function
zbMATH Keywords: period annulus
zbMATH Keywords: potential system
author: Li-Jun Yang
author: Xian-Wu Zeng
MaRDI profile type: Publication
full work available at URL: j.bulsci.2009.05.002
OpenAlex ID: W2052324824
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DOI: 10.1016/J.BULSCI.2009.05.002
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description: scientific article; zbMATH DE number 5608809