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A cooperative system which does not satisfy the limit set dichotomy | | Eduardo D. Sontag
; Yuan Wang
; | | Date: |
12 May 2005 | | Subject: | Dynamical Systems; Optimization and Control MSC-class: 34C12 | math.DS math.OC | | Abstract: | The 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. | | Source: | arXiv, math.DS/0505271 | | Services: | Forum | Review | PDF | Favorites | |
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