Attractors in coherent systems of differential equations

Details Attractors in coherent systems of differential equations Attractors in coherent systems of differential equations

2007-10-18

arxiv.org/abs/0710.3507v1

Mathematics

Dynamical Systems

Scientific paper

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.

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