A cooperative system which does not satisfy the limit set dichotomy
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چکیده
منابع مشابه
1 2 M ay 2 00 5 A cooperative system which does not satisfy the limit set dichotomy Eduardo
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 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.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2006
ISSN: 0022-0396
DOI: 10.1016/j.jde.2005.07.026