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math.DS2005
A cooperative system which does not satisfy the limit set dichotomy
Eduardo D. Sontag, Yuan Wang
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…
math.DS2002★ 5 cited
A Relaxation Theorem for Differential Inclusions with Applications to Stability Properties
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental Filippov-Wazwski Relaxation Theorem states that the solution set of an initial value problem for a locally Lipschitz inclusion is dense in the solution set of the s…