Generation of hyperchaos from the Chen–Lee system via sinusoidal perturbation

A system with more than one positive Lyapunov exponent can be classified as a hyperchaotic system. In this study, a sinusoidal perturbation was designed for generating hyperchaos from the Chen–Lee chaotic system. The hyperchaos was identified by the existence of two positive Lyapunov exponents and bifurcation diagrams. The system is hyperchaotic in several different regions of the parameters c, ε, and ω. It was found that this method not only can enhance or suppress chaotic behavior, but also induces chaos in non-chaotic parameter ranges. In addition, two interesting dynamical behaviors, Hopf bifurcation and intermittency, were also found in this study.     

Cohomology of Moduli Space of Cubic Fourfolds Ⅰ

In this paper we compute the cohomology of moduli space of cubic fourfolds with ADE type singularities relying on Kirwan’s blowup and Laza’s GIT construction. More precisely, we obtain the Betti numbers of Kirwan’s resolution of the moduli space. Furthermore, by applying decomposition theorem we obtain the Betti numbers of the intersection cohomology of Baily-Borel compactification of the moduli space.     

Synthesis and micellization of star‐like hyperbranched polymer with poly(ethylene oxide) and poly(ε‐caprolactone) arms

Novel star‐like hyperbranched polymers with amphiphilic arms were synthesized via three steps. Hyperbranched poly(amido amine)s containing secondary amine and hydroxyl groups were successfully synthesized via Michael addition polymerization of triacrylamide (TT) and 3‐amino‐1,2‐propanediol (APD) with feed molar ratio of 1:2. ¹H, ¹³C, and HSQC NMR techniques were used to clarify polymerization mechanism and the structures of the resultant hyperbranched polymers. Methoxyl poly(ethylene oxide) acrylate (A‐MPEO) and carboxylic acid‐terminated poly(ε‐caprolactone) (PCL) were sequentially reacted with secondary amine and hydroxyl group, and the core–shell structures with poly(1TT‐2APD) as core and two distinguishing polymer chains, PEO and PCL, as shell were constructed. The star‐like hyperbranched polymers have different sizes in dimethyl sulfonate, chloroform, and deionized water, which were characterized by DLS and ¹H NMR. © 2008 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 46: 1388–1401, 2008     

Growing lysozyme crystals under various physicochemical conditions: Computer modelling

A computer model of the growth of lysozyme crystals under a variety of physicochemical conditions is proposed. The growth unit was composed of the protein in its HP (hydrophobic–hydrophilic) coarse-grained cubic representation. The growth of the crystal was driven by hydrophobic structural interactions between incoming growth units and the surface of the crystal. The energies of HH, HP and PP interactions were taken from the well-known HP model and modified within the limits of the Miyazawa–Jernigan matrix describing interactions between amino acids in proteins. Suitably chosen energy values of HH, HP and PP interactions can mimic various physicochemical conditions of the system in which the crystal can grow. Some combinations of energy values have produced different crystal forms: a physical fact confirmed by experiment.     

An efficient approach to synthesize polysaccharides‐graft‐poly(p‐dioxanone) copolymers as potential drug carriers

Starch and poly(p‐dioxanone) (PPDO) are the natural and synthetic biodegradable and biocompatible polymers, respectively. Their copolymers can find extensive applications in biomedical materials. However, it is very difficult to synthesize starch‐graft‐PPDO copolymers in common organic solvents with very good solubility. In this article, well‐defined polysaccharides‐graft‐poly(p‐dioxanone) (SA_n‐PPDO) copolymers were successfully synthesized via the ring‐opening polymerization of p‐dioxanone (PDO) with an acetylated starch (SA) initiator and a Sn(Oct)₂ catalyst in bulk. The copolymers were characterized via Fourier transform infrared spectroscopy, ¹H NMR, gel permeation chromatography, thermogravimetric analysis (TG), differential scanning calorimetry, and wide angle x‐ray diffraction. The in vitro degradation results showed that the introduction of SA segments into the backbone chains of the copolymers led to an enhancement of the degradation rate, and the degradation rate of SA_n‐PPDO increased with the increase of SA wt %. Microspheres with an average volume diameter of 20 μm, which will have potential applications in controlled release of drugs, were successfully prepared by using these new copolymers. © 2009 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 47: 5344–5353, 2009     

高性能量子点编码磁性微球的制备

基于改进的层层组装法,以氯仿/正丁醇混合溶液作为反应溶剂,将油溶性CdSSe/ZnS量子点装载到表面氨基修饰的磁性聚苯乙烯微球(MS)表面,通过调节量子点浓度,制备出高性能CdSSe/ZnS量子点编码磁性微球(CdSSe/ZnS-MBs).研究了氯仿和氯仿/正丁醇混合溶液对CdSSe/ZnS-MBs制备效果的影响.结果表明,氯仿/正丁醇混合溶液不仅能避免氯仿等量子点良溶剂对聚合物微球的形貌破坏,同时能促进CdSSe/ZnS量子点高效地装载到磁性微球表面.所制备的CdSSe/ZnS-MBs在水相具有较好的分散性,荧光强度变异系数(CV)小,形貌均一.该方法为简单、精确可控地制备高编码容量的量子点编码微球提供了新思路.     

A practical and step-economic route to Favipiravir

A practical and step-economic route to Favipiravir, an antiviral drug, was developed. Favipiravir was synthesized in only six steps from 3-aminopyrazine-2-carboxylic acid with an overall yield of about 22.3%. Key intermediates 3 and 6 were obtained in excellent purity via recrystallization from optimized solvents, which was beneficial to large-scale production. In the key synthetic reaction, 3,6-dichloropyrazine-2-carbonitrile (6) was reacted sequentially, in one pot, with KF and 30% H₂O₂ to give (after crystallization from 95% EtOH) favipiravir as colorless crystals, with a 60% yield for this final step of the synthesis.     

SELF-ADAPTIVE STRATEGY FOR ONE-DIMENSIONAL FINITE ELEMENT METHOD BASED ON ELEMENT ENERGY PROJECTION METHOD

Based on the newly-developed element energy projection (EEP) method for computation of super-convergent results in one-dimensional finite element method (FEM), the task of self-adaptive FEM analysis was converted into the task of adaptive piecewise polynomial interpolation. As a result, a satisfactory FEM mesh can be obtained, and further FEM analysis on this mesh would immediately produce an FEM solution which usually satisfies the user specified error tolerance. Even though the error tolerance was not completely satisfied, one or two steps of further local refinements would be sufficient. This strategy was found to be very simple, rapid, cheap and efficient. Taking the elliptical ordinary differential equation of second order as the model problem, the fundamental idea, implementation strategy and detailed algorithm are described. Representative numerical examples are given to show the effectiveness and reliability of the proposed approach.     

Synthesis of linear and V-shaped oligo(phenylene ethynylene) derivatives: geometric effects on photophysical properties

<正>A series of linear and V-shaped oligo(phenylene ethynylene) derivatives 1-3 were synthesized through sequent Sonogashira coupling and propargyl alcohol deprotection reaction in high yields.The alkoxy chains(i.e.,n-hexyloxy groups) were introduced to assure good solubility of compounds 1-3 in common solvents.The photophysical properties of 1-3 in solution depend strongly on the geometries of these compounds.     

Synthesis and characterization of reactive polyhedral oligomeric silsesquioxanes (R-POSS) containing multi-N-methylol groups

Novel high-reactive polyhedral oligomeric silsesquioxanes bearing multi-N-methylol groups (R-POSS) is synthesized. The chemical structure of R-POSS is characterized by FT-IR, ¹H NMR, ²⁹Si NMR. Nano-structure of R-POSS is observed by field emission scanning electro microscope (FSEM) and AFM. R-POSS monomer imparts a nano-sized inorganic core and organic corner with multi-N-methylol groups. R-POSS can readily crosslink to cellulose polymer and improve elastic recovery of cellulose materials. R-POSS as novel POSS reagent may be utilized for preparation of nanocomposite materials and functional biomaterials.