On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems

Márcio R.A. Gouveia, Jaume Llibre and Douglas D. Novaes

Applied Mathematics and Computation, 2015, vol. 271, issue C, 365-374

Abstract: In this paper we consider the linear differential center (x˙,y˙)=(−y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system.

Keywords: Discontinuous differential system; Piecewise linear differential system; Infinite periodic orbit; Limit cycle; Displacement function (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315012400
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:365-374

DOI: 10.1016/j.amc.2015.09.022

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().