A cooperative system which does not satisfy the limit set dichotomy

Journal of Differential Equations

Volumn 224, Issue 2, 2006, Pages 373-384

  Sontag, Eduardo D ^a   Wang, Yuan ^b  

^a RUTGERS UNIVERSITY   (United States)

^b FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

Cooperative systems; Limit set dichotomy; Monotone systems

Indexed keywords

EID: 33646004257     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2005.07.026     Document Type: Article

References (4)

1. M.W. Hirsch, Convergence in ordinary and partial differential equations, Notes for Colloquium Lectures at University of Toronto, August 23-26, 1982, American Mathematical Society, Providence, RI, 1982.
2. Hirsch M.W. Differential equations and convergence almost everywhere in strongly monotone semiflows. Contemp. Math. 17 (1983) 267-285
3. M.W. Hirsch, H.L. Smith, Monotone dynamical systems, in: Handbook of Differential Equations, Ordinary Differential Equations, vol. 2, Elsevier, Amsterdam, 2005.
4. H.L. Smith, Monotone Dynamical Systems, an Introduction to the Theory of Competitive and Cooperative Systems, Mathematical Surveys and Monographs, vol. 41, American Mathematical Society, Providence, RI, 1995.