Periodic Orbits and the Global Attractor for Delayed Monotone Negative Feedback

We study the delay dieren tial equation _ x(t) = x (t) +f(x(t 1)) with 0 and C 1 -smooth real functions f satisfying f(0) = 0 and f 0 < 0. For a set of and f, we determine the number of periodic orbits, and describe the structure of the global attractor as the union of the strong unstable sets of the periodic orbits and of the stationary point 0.

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