We consider a difference equation involving three parameters and a piecewise constant control function with an additional positive threshold λ. Treating the threshold as a bifurcation parameter that varies between 0 and∞, we work out a complete asymptotic and bifurcation analysis. Among other things, we show that all solutions either tend to a limit 1-cycle or to a limit 2-cycle and, we find th...

UNLABELLED BACKGROUND The objective of this investigation was to establish independent predictors of follicle-stimulating hormone (FSH) threshold dose in anovulatory women undergoing ovulation induction with FSH preparations. METHODS One hundred and fifty-one patients with WHO Group II anovulatory infertility failing to ovulate or conceive on clomiphene citrate underwent ovarian stimulation w...

The effect of increased stimulus current strength on the right ventricular effective refractory period during sustained ventricular tachycardia and on the ability of single premature right ventricular stimuli to terminate ventricular tachycardia was evaluated. Studies were performed during 53 episodes of sustained ventricular tachycardia in 25 patients. Forty-four of 53 episodes were slowed by ...

We study the diversity of complex spatio-temporal patterns in the behavior of random synchronous asymmetric neural networks (RSANNs). Special attention is given to the impact of disordered threshold values on limit-cycle diversity and limit-cycle complexity in RSANNs which have 'normal' thresholds by default. Surprisingly, RSANNs exhibit only a small repertoire of rather complex limit-cycle pat...

We study the Hamilton cycle Maker-Breaker game, played on the edges of the random graph G(n, p). We prove a conjecture from [13], asserting that the property that Maker is able to win this game, has a sharp threshold at log n n . Our theorem can be considered a game-theoretic strengthening of classical results from the theory of random graphs: not only does G(n, p) almost surely admit a Hamilto...

A recent contribution in this journal on the application of the RAINS model for acidification in life cycle impact assessment is examined as to mathematical consistency and conceptual content. A general recipe for deriving equivalency factors for life cycle impact assessment is derived. This leads to a rejection of threshold-based impact indicators as a basis for tabulating equivalency factors ...

In a multi-item inventory system, given the order cycle lengths and unit volumes of the items, the determination of the replenishment times (i.e. “cycle offsets”) of items, so as to minimize the resources needed to store the items, is known as the inventory cycle offsetting problem. In this paper we show that so long as the cycle times and inventory unit volumes satisfy certain mild constraints...