Invariant curves for planar competitive and cooperative maps
Date of Original Version
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.
Journal of Difference Equations and Applications
Kulenović, M. R.S., 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.