A cooperative system which does not satisfy the limit set dichotomy

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The fundamental property of strongly monotone systems, and strongly cooperative systems in particular, is the limit set dichotomy due to Hirsch: if x < y, then either ω ( x ) < ω ( y ), or ω ( x ) = ω ( y ) and both sets consist of equilibria. We provide here a counterexample showing that this property need not hold for (non-strongly) cooperative systems.

Original languageEnglish (US)
Pages (from-to)373-384
Number of pages12
JournalJournal of Differential Equations
Volume224
Issue number2
DOIs
StatePublished - May 15 2006

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Keywords

  • Cooperative systems
  • Limit set dichotomy
  • Monotone systems

Fingerprint Dive into the research topics of 'A cooperative system which does not satisfy the limit set dichotomy'. Together they form a unique fingerprint.

Cite this