On positive solutions and the Omega limit set for a class of delay differential equations

This paper studies the positive solutions of a class of delay differential equations with two delays. These equations originate from the modeling of hematopoietic cell populations. We give a sufficient condition on the initial function for $t\leq 0$ such that the solution is positive for all time $t>0$. The condition is "optimal". We also discuss the long time behavior of these positive solutions through a dynamical system on the space of continuous functions. We give a characteristic description of the $\omega$ limit set of this dynamical system, which can provide informations about the long time behavior of positive solutions of the delay differential equation.Comment: 15 pages, 2 figure

Raising Tc in charge density wave superconductor ZrTe3 by Ni intercalation

We report discovery of bulk superconductivity in Ni0.05ZrTe3 at Tc = 3.1 K, obtained through Ni intercalation. Superconductivity coexists with charge density wave (CDW) state with TCDW = 41 K. When compared to parent material ZrTe3, filamentary superconducting transition is substantially increased whereas TCDW was suppressed. The analysis of superconducting state indicates that Ni0.05ZrTe3 is an intermediately coupled superconductor.Comment: 5 pages, 5 figure

Elemental Abundances of Blue Compact Dwarfs from mid-IR Spectroscopy with Spitzer

We present a study of elemental abundances in a sample of thirteen Blue Compact Dwarf (BCD) galaxies, using the $\sim$10--37$\mu$m high resolution spectra obtained with Spitzer/IRS. We derive the abundances of neon and sulfur for our sample using the infrared fine-structure lines probing regions which may be obscured by dust in the optical and compare our results with similar infrared studies of starburst galaxies from ISO. We find a good correlation between the neon and sulfur abundances, though sulfur is under-abundant relative to neon with respect to the solar value. A comparison of the elemental abundances (neon, sulfur) measured from the infrared data with those derived from the optical (neon, sulfur, oxygen) studies reveals a good overall agreement for sulfur, while the infrared derived neon abundances are slightly higher than the optical values. This indicates that either the metallicities of dust enshrouded regions in BCDs are similar to the optically accessible regions, or that if they are different they do not contribute substantially to the total infrared emission of the host galaxy.Comment: 11 pages, 6 figures, accepted by Ap

Design, manufacturing and optimization of PM-SMC motors

© 2017 IEEE. Soft magnetic composite (SMC), as a relatively new magnetic material, has attracted much attention in the design of electrical machines. This paper aims to discuss the specific and common problems in the design of permanent magnet (PM) motors with SMC cores. Firstly, the motor topology design is introduced for taking advantage of the SMC properties. Then, precise material testing and modeling methods are presented for the accurate core loss calculation of PM-SMC motors. Considering the influence of manufacturing process, two design optimization approaches are utilized for enhancing the motor performance. For improving the electromagnetic properties of the SMC cores, the orthogonal experiment is proposed for investigating and optimizing the heat treatment process. Considering the manufacturing tolerances in the actual production, the robust tolerance design optimization approach is introduced for pursuing the optimal motor performance and manufacturing cost with high reliability

Mesoscopic Kondo effect of a quantum dot embedded in an Aharonov-Bohm ring with intradot spin-flip scattering

We study the Kondo effect in a quantum dot embedded in a mesoscopic ring taking into account intradot spin-flip scattering $R$. Based on the finite-$U$ slave-boson mean-field approach, we find that the Kondo peak in the density of states is split into two peaks by this coherent spin-flip transition, which is responsible for some interesting features of the Kondo-assisted persistent current circulating the ring: (1) strong suppression and crossover to a sine function form with increasing $R$; (2) appearance of a "hump" in the $R$-dependent behavior for odd parity. $R$-induced reverse of the persistent current direction is also observed for odd parity.Comment: 7 pages,6 figures, to be published by Europhys. Let