A cooperative system which does not satisfy the limit set dichotomy

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dc.creatorSontag, Eduardo D.
dc.creatorWang, Yuan
dc.date2005-05-12
dc.date.accessioned2026-07-07T05:19:52Z
dc.date.available2026-07-07T05:19:52Z
dc.descriptionThe fundamental property of strongly monotone systems, and strongly cooperative systems in particular, is the limit set dichotomy due to Hirsch: if x(0) < y(0), then either omega(x) < omega(y), or omega(x) = omega(y) and both sets consist of equilibria. We provide here a counterexample showing that this property need not hold for (non-strongly) cooperative systems.
dc.identifierhttps://arxiv.org/abs/math/0505271
dc.identifierhttp://arxiv.org/abs/math/0505271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75183
dc.subjectDynamical Systems
dc.subjectOptimization and Control
dc.subject34C12
dc.titleA cooperative system which does not satisfy the limit set dichotomy
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