Invariant curves for planar competitive and cooperative maps
Document Type
Article
Date of Original Version
6-3-2018
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.
Publication Title, e.g., Journal
Journal of Difference Equations and Applications
Volume
24
Issue
6
Citation/Publisher Attribution
Kulenović, M. R., and O. Merino. "Invariant curves for planar competitive and cooperative maps." Journal of Difference Equations and Applications 24, 6 (2018): 898-915. doi: 10.1080/10236198.2018.1438418.
