Attractors in coherent systems of differential equations
Dynamical Systems
2007-10-19 v1
Abstract
Attractors of cooperative dynamical systems are particularly simple; for example, a nontrivial periodic orbit cannot be an attractor. This paper provides characterizations of attractors for the wider class of coherent systems, defined by the property that no directed feedback loops are negative. Several new results for cooperative systems are obtained in the process.
Keywords
Cite
@article{arxiv.0710.3507,
title = {Attractors in coherent systems of differential equations},
author = {David Angeli and Morris W. Hirsch and Eduardo D. Sontag},
journal= {arXiv preprint arXiv:0710.3507},
year = {2007}
}