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In this work we study oscillations appearing in the simple linear delayed differential equation (DDE) of the form ẋ=A−Bx(t)−Cx(t−τ) with B<C in the case of τ larger than the critical value τcr for which Hopf bifurcation occurs. We study the Cauchy problem proposed by Bratsun et al. (PNAS 102 (41) (2005)) as a description of some channel of biochemical reactions, that is we assume that x(t)=0 for...
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