Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method
type: Item
instance of: scholarly article
title: Periodic solutions of second-order nonlinear difference equations containing a small parameter. IV: Multi-discrete time method
zbMATH Open document ID: 0629.39002
DOI: 10.1016/0016-0032(87)90065-2
author: Ronald E. Mickens
published in: Journal of the Franklin Institute
publication date: 1987-01-01T00:00:00Z
review text: [For part III see ibid. 321, 39-47 (1986; Zbl 0592.39005).] This is the fourth of a series of papers devoted to the study of periodic solutions of second-order nonlinear difference equations containing a small parameter. Here a multi-discrete time method is developed for investigating the limit cycle behaviour and its stability properties. Three examples illustrating the method are given.
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 4023919
zbMATH Keywords: periodic solutions
zbMATH Keywords: second-order nonlinear difference equations
zbMATH Keywords: small parameter
zbMATH Keywords: multi-discrete time method
zbMATH Keywords: limit cycle
zbMATH Keywords: stability
reviewed by: Vinicio C. Boffi
MaRDI profile type: Publication
full work available at URL: 0016-0032(87)90065-2
OpenAlex ID: W2017957208
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description: scientific article; zbMATH DE number 4023919