Invariant curves for planar competitive and cooperative maps. Issue 6 (3rd June 2018)

• Record Type: Journal Article
• Authors: Kulenović, M. R. S.; Merino, O.
• Is Part Of: Journal of difference equations and applications. Volume 24:Issue 6(2018)
• Page Start: 898
• Page End: 915
• Publication Date: 2018-06-03
• Subjects: Attractivity -- basin -- difference equation -- invariant sets -- periodic solutions -- stable set; 39A10 -- 39A30 -- 37G35; Difference equations -- Periodicals; 515.625
• DOI: 10.1080/10236198.2018.1438418
• Languages: English
• ISSNs: 1023-6198

Abstract

Abstract: In this paper we present results on the existence of invariant curves for planar maps that are monotone with respect to either the south-east or north-east ordering. Some of these curves are the stable or unstable manifolds of hyperbolic fixed points (saddle points) or non-hyperbolic fixed points, and are also the boundary of basins of attraction of such points.