Hopf bifurcation analysis in a Lorenz-type system

In this technical note, the Hopf bifurcation in a new Lorenz-type system is studied. By analyzing the characteristic equations, the existence of a Hopf bifurcation is established. Some corresponding dynamics are also discussed briefly. Numerical simulations are carried out to illustrate the main theoretical results.     

Syntheses and Bioactivity of o- or p-Trifluoromethylphenyl Phosphates

o- and p-Trifluoromethylphenyl phosphates designed as mechanism-based phosphotyrosine phosphatase inactivators have been prepared. Some of them show herbicidal activities.     

Markov Chain Monte Carlo (MCMC) Method for Studying Magnetic Behaviors in Trinuclear Cobalt(II) Compound

A Co^II coordination polymer built from a mixed azide and zwitterionic pyridinium ions and its temperature‐dependent magnetic properties are described. We used the Markov chain Monte Carlo (MCMC) method to fit the data, and found the following results: (1) there are strong correlations between the model parameters; (2) the data at above 28 K are well fitted by the magnetism model.     

Bis(μ‐1,10‐phenanthrolin‐2‐olato‐κ3N,N′:O)­dicopper(I)(Cu—Cu) monohydrate

The crystal structure of the title compound, [Cu₂(C₁₂H₇­N₂O)₂]·H₂O, shows that this dinuclear complex has shorter Cu—N, Cu—O and Cu—Cu distances within the coordination sphere than similar reported complexes. The complex mol­ecule is located on a centre of symmetry and the water mol­ecule is on a twofold axis of the space group C2/c. The discrete complex mol­ecules are extended into a two‐dimensional supramolecular array viaπ–π stacking interactions, intermolecular Cu⋯Cu interactions and C—H⋯O hydrogen bonds.     

Co(III)/Zn(II)-catalyzed dearomatization of indoles and coupling with carbenes from ene-yne ketones via intramolecular cyclopropanation

A straightforward and efficient protocol for dearomatizing indoles is described. The reaction, catalyzed by an inexpensive Co(III)/Zn(II) catalyst, starts from easily accessible N-pyrimidinyl indoles and ene-yne ketones. Mild reaction conditions, high diastereoselectivity, a broad substrate scope, effective functional group tolerance, and reasonable to remarkable yields were observed.     

自然冷源在家用冰箱系统应用及性能分析

空气自然冷源已逐渐用于制冷系统中,引入自然冷源能提高冷凝器出口过冷度,或将自然冷源冷却载冷剂经节流直接引入蒸发器,可有效提高系统COP;基于国内冬春季温度≤5℃的自然冷源分布状况,设计了一种引入自然冷源用于家用冰箱的新型制冷系统,并建立热力学计算模型,分析了不同自然冷源工况时冷凝器过冷度在0、5、10、15℃下的系统COP、压缩机指示功率、系统耗电量及冷凝器热负荷,经计算,冬春季时与传统家用冰箱制冷系统相比,系统COP提高了12%,日均系统耗电量节约0.48kWh。     

A convenient cyclopropanation process of oxindoles via bromoethylsulfonium salt

A practical convenient conversion of oxindoles into the corresponding spirocyclopropyl oxindoles is achieved efficiently using bromoethylsulfonium salt, which is easily prepared on a large scale and is stable crystalline. This reaction of bromoethylsulfonium salt with different substituted unprotected oxindoles proceeded under mild condition and provided moderate yields.     

Synthesis and properties of 5,10,15,20‐tetra[(4‐alkoxy‐3‐ethyloxy)phenyl]porphyrin hydroxylanthanide liquid crystal complexes

Twelve 5, 10, 15, 20‐tetra[(4‐alkoxy‐3‐ethyloxy)phenyl]porphyrin hydroxylanthanide complexes Ln[(C _n OEOP)₄P](OH) (n?=?12, 14, 16;Ln?=?Tb, Dy, Er, Yb) and three ligands have been synthesized and their composition, structure and spectral properties studied. Their liquid crystalline behaviour is also presented. Differential scanning calorimetry and polarizing optical microscopy reveal that all exhibit a discotic liquid crystalline phase. X‐ray diffraction shows that the mesophase is a hexagonal columnar, Col_h. The lanthanide ion, which is coordinated to the four nitrogen atoms of the porphyrin and to the oxygen atom of the hydroxyl group, is out of the porphyrin molecular plane. All the complexes are stable below 200°C and undergo complete decomposition at 800°C. The fluorescence quantum yields of the lanthanide complexes are much lower than those of the corresponding ligands. The electrochemical studies show that the redox potentials do not change on varying the chain length.