The nonlinear reflective function of differential system
type: Item
instance of: scholarly article
title: The nonlinear reflective function of differential system
zbMATH Open document ID: 1029.34034
DOI: 10.1016/S0362-546X(03)00022-1
author: Zhengxin Zhou
author: Yuexin Yan
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-05-14T00:00:00Z
review text: \textit{L. A. Alisevich} [Differ. Uravn. 19, No. 8, 1446-1449 (1983; Zbl 0524.34018)] and \textit{V. I. Mironenko} [Differ. Uravn. 25, No. 12, 2109-2114 (1989; Zbl 0697.34043)] have introduced the method of reflective functions in order to construct Poincaré maps for concrete systems. In the present paper, this method is applied to 2-dimensional periodic systems in order to establish existence and stability of periodic solutions.
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1910233
zbMATH Keywords: nonlinear reflective function
zbMATH Keywords: nonlinear differential system
zbMATH Keywords: periodic solution
reviewed by: M. Farkas
MaRDI profile type: Publication
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full work available at URL: s0362-546x(03)00022-1
OpenAlex ID: W2001852712
description: scientific article; zbMATH DE number 1910233