For an assembly line, it is necessary to minimize the cycle time for processing a partially ordered set of operations V = {1, . . . , n} on a set of m linearly ordered working stations. The number m of stations and the initial processing times t = (t1, . . . , tn) of the operations V are given. However, for a subset Ṽ ⊆ V of the manual operations j ∈ Ṽ , it is impossible to fix the processing t...

The cell-cycle regulatory gene INK4A-ARF (CDKN2A) has two alternative transcripts that produce entirely different proteins, namely p14 and p16, which have complementary functions as regulators of p53 and pRB tumor suppressor pathways, respectively. The unusual organization of INK4A-ARF has long led to speculation of a need for coordinated regulation of p14 and p16.We now show that p14 (ARF) reg...

[Purpose] The purpose of this study was to identify the effects of trunk stability exercise using proprioceptive neuromuscular facilitation with changes in chair heights on the gait of stroke patients. [Subjects and Methods] The subjects of this study were 11 stroke patients. The intervention method was trunk stability exercise using proprioceptive neuromuscular facilitation with different chai...

I study two prominent strategyproof matching rules when strict priorities over objects are given exogenously: the Deferred Acceptance Rule (DA) and the Top Trading Cycle Rule With Inheritance (TTC). It is well known that the DA rule is stable while the TTC rule is efficient, but not vice versa, and that these two properties cannot be reconciled. The primary innovation of the paper is the introd...

2 The Floquet theory of the aktion potential 3 2.1 Periodic event . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Tonic spikes are limit cycles . . . . . . . . . . . . . . . . . . . . . 3 2.3 Limit cycle stability . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3.1 Eigensystem of the Floquet matrix . . . . . . . . . . . . . 6 2.4 Neutral dimension and phase shifts . . . . ...

Transient dynamics are of large interest in many areas of science. Here, a generalization of basin stability (BS) is presented: constrained basin stability (CBS) that is sensitive to various different types of transients arising from finite size perturbations. CBS is applied to the paradigmatic Lorenz system for uncovering nonlinear precursory phenomena of a boundary crisis bifurcation. Further...

In this paper, we investigate a Kaldor-Kalecki model of business cycle with delay in both the gross product and the capital stock. Stability analysis for the equilibrium point is carried out. We show that Hopf bifurcation occurs and periodic solutions emerge as the delay crosses some critical values. By deriving the normal forms for the system, the direction of the Hopf bifurcation and the stab...

Selective wetting-induced micro-electrode patterning is used to fabricate flexible micro-supercapacitors (mSCs). The resulting mSCs exhibit high performance, mechanical stability, stable cycle life, and hold great promise for facile integration into flexible devices requiring on-chip energy storage.

We present an extension of Sharkovsky’s Theorem and its converse to periodic difference equations. In addition, we provide a simple method for constructing a p-periodic difference equation having an r-periodic geometric cycle with or without stability properties.