Cones for coordinate-wise monotone functions and invariant manifolds of monotone maps
Abstract
In this paper we give a characterization of monotone discrete systems of equations in terms of associated signature matrix and give some properties of certain invariant surfaces of codimension 1, which often give the boundary of attraction of some fixed points. We present several examples that illustrate our results in the case of k-dimensional systems where k≥3.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
Fixed Point Theorems Analysis
Publication details
- Journal / source
- The Journal of Difference Equations and Applications
- Volume
- 32
- Issue
- 3
- Pages
- 275–292
- Publication date
- 28 January 2026
- Language
- EN