Global synchronization in lattices of coupled chaotic systems

Based on the concept of matrix measures, we study global stability of synchronization in networks. Our results apply to quite general connectivity topology. In addition, a rigorous lower bound on the coupling strength for global synchronization of all oscillators is also obtained. Moreover, by merely checking the structure of the vector field of the single oscillator, we shall be able to determine if the system is globally synchronized.     

Microwave‐assisted synthesis of organic/inorganic hybrid nanocomposites and their encapsulating applications for photoelectric devices

UV curable organic/inorganic hybrid nanocomposites with high refractive indices, moderate hardness, good adhesive strength, and excellent gas blocking performances have been successfully rapidly synthesized by in situ microwave‐assisted heating process. We find that the chemical structures of polymer matrices influence the physical properties and addition of silicone and polyurethane (PU) into the acrylics backbone can further reduce the gas permeation and increase the adhesive strength as well as refractive indices. Moreover, lab‐made Silicone/PU/Acrylics I nanocomposites have also been utilized for the encapsulation of organic solar cells, LEDs, OLEDs, and flexible OLEDs. The experimental results demonstrate that they can effectively hinder the penetration of oxygen as well as moisture in the atmosphere into the photoelectric devices, consequently prolonging their lifetimes. Copyright © 2010 John Wiley & Sons, Ltd.     

Facile synthesis of high‐performance poly(pyrrolone imide)s from an unsymmetric phosphinated triamine

High‐performance and flexible poly(pyrrolone imide)s (PPyIs) were firstly prepared by the reaction of dianhydrides with an unsymmetric phosphinated triamine, 1‐(3,4‐diaminophenyl)‐1‐(4‐aminophenyl)‐1‐(6‐oxido‐6H ‐dibenz <c,e> <1,2> oxaphosphorin‐6‐yl)ethane (1), which was prepared by a facile, one‐pot procedure from the reaction DOPO, 4‐aminoacetophenone in excess o‐phenylenediamine in the presence of p‐toluenesulfonic acid. Thermal properties of the resulting PPyIs were evaluated and compared with those of phosphinated polyimides with a similar structure. All of the prepared PPyIs films are tough and creasable. They display higher T_g (374–412 °C), lower coefficient of thermal expansion (34–46 ppm/°C), and better thermal stability (T_d 5 wt %: 456–477 °C, 800 °C char yield: 59–63%) than analogous phosphinated polyimides. © 2013 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2013, 51, 2709–2715     

Practical issues for two-light-sources model of phosphor-based white light-emitting diode

We report an intuitive approach to simulating the performance of the phosphor-based light emitting diode (LED) by using the two-light-sources model for an optimized LED lens. The optimized secondary lens shape is achieved by approaching a uniform energy distribution on the detecting plane. Both the spectrum and spatial apodization of the LED structure are discussed, and the results indicate that the two-light-sources model can solve the misleading design on the phosphor-based LED due to imperfect color mixing of light source, that one can satisfy the highly uniformity requirement for specific applications, such as display backlight or optogenetic.     

Effects of Cr doping on physical properties of amorphous In-Ga-Zn-O films

Amorphous thin films of InGaZnO₄ (a-IGZO) doped with Cr have been fabricated by using pulsed-laser deposition (PLD). The electrical, optical and magnetic properties of Cr-doped a-IGZO films grown at 25 °C and 150 °C were investigated. The conductivity, optical transmission and band gap of films are remarkably enhanced by increasing the growth temperature. Conductivity, carrier concentration and mobility decrease with increasing the Cr content. However, the optical transmission and band gap are not significantly affected by Cr doping. Moreover, all Cr-doped films exhibit room-temperature ferromagnetism.     

One-pot synthesis and antiproliferative evaluation of pyrazolo[3,4-d]pyrimidine derivatives

An efficient one-pot methodology for the synthesis of pyrazolo[3,4-d]pyrimidines was developed by using 5-aminopyrazoles with formamide in presence of PBr₃ as the coupling agent. Among the examples presented in this work, compounds 41 and 54-56 with phenyl or 2-quinolinyl groups at N-1 and p-Me-Ph, p-Cl-Ph, or p-OMe-Ph group at C-3 position in the pyrazole ring possessed better potency against NCI-H226 and NPC-TW01 cancer cells with GI₅₀ values between 18 μM and 39 μM.     

Closed-form recursive formula for an optimal tracker with terminal constraints

Feedback control laws are derived for a class of optimal finite time tracking problems with terminal constraints. Analytical solutions are obtained for the feedback gain and the closed-loop response trajectory. Such formulations are expressed in recursive forms so that a real-time computer implementation becomes feasible. An example involving the feedback slewing of a flexible spacecraft is given to illustrate the validity and usefulness of the formulations.