Three algorithms based on the bifurcation method are applied to solving the D4 symmetric positive solutions to the boundary value problem of Henon equation. Taking r in Henon equation as a bi- furcation parameter, the...Three algorithms based on the bifurcation method are applied to solving the D4 symmetric positive solutions to the boundary value problem of Henon equation. Taking r in Henon equation as a bi- furcation parameter, the D4-Σd(D4-Σ1, D4-Σ2) symmetry-breaking bifurcation points on the branch of the D4 symmetric positive solutions are found via the extended systems. Finally, Σd(Σ1, Σ2) sym- metric positive solutions are computed by the branch switching method based on the Liapunov-Schmidt reduction.展开更多
Microstructure and subsequent phase transformations on heating of the melt-spun Nd85Al15 alloy have been studied by X-ray diffraction, transmission electron microscopy and differential scanning calorimetry. The melt-s...Microstructure and subsequent phase transformations on heating of the melt-spun Nd85Al15 alloy have been studied by X-ray diffraction, transmission electron microscopy and differential scanning calorimetry. The melt-spun Nd85Al15 alloy shows two-stage transformation processes as follows: amorphous+72 nm supersaturated bcc-Nd(AI) solid solution-7 nm omega-like phase-AINd3+hexagonal Nd. The activation energies for the first and second transformation were found to be 100 kj/mol and 188 kj/mol, respectively. The formation mechanism of nanoscale omega-like phase is discussed.展开更多
Implanting 1 ×1016 to1 ×1017 Co+/cm2 into Ni85 Fe15 alloy film anditschangesof mag netoresistantcharacters were researched . The results show that Co+ is very spectacular on modifying Ni85 Fe15 alloyfilm...Implanting 1 ×1016 to1 ×1017 Co+/cm2 into Ni85 Fe15 alloy film anditschangesof mag netoresistantcharacters were researched . The results show that Co+ is very spectacular on modifying Ni85 Fe15 alloyfilm’s magnetoresistancecharacters. Atlower dose,theanisotrop ic magnetoresistivity ratio( AMR) and thesaturated magnetic field didn’tchange almost. ATmedium dose, the saturated magnetic field does not have great change either, butits AMRisraised from 1 % upto 3% . Thisiscomparabletothebest AMRvalueof permalloy based magnetoresistant material prepared by other methods. But the ion implantation tech niqueisrathersimpler. Whentheimplanting doseishigher,its AMRisalsoenhanced notice ably. However,theincreaseof saturated field saysthe material’sstructurecharacters have changed radically.展开更多
Poly（L-lactide-co-caprolactone）（85-15）[P（LLA-CL）（85-15）] was synthesized from high purity L-lactide and e-caprolactone using tin octoate as initiator by ring-opening polymerization, and characterized by infrar...Poly（L-lactide-co-caprolactone）（85-15）[P（LLA-CL）（85-15）] was synthesized from high purity L-lactide and e-caprolactone using tin octoate as initiator by ring-opening polymerization, and characterized by infrared spectrum and IH-NMR spectrum. The synthesized P（LLA-CL）（85-15） is a random copolymer. The influences of polymerization temperature, polymerization time, dosage of initiator and polymerization pressure on the weight average molecular weight and the polydispersity index of P（LLA-CL）（85-15） were investigated. The optimum preparation conditions of P（LLA-CL）（85-15） are： the polymerization pressure is less than 0.5 Pa, the polymerization temperature is 130 ~C, the n（M）/n（I） ratio is 8 000/1, and the polymerization time is 36 h. Under the condition, the weight-average molecular weight of prepared P（LLA-CL）（85-15） is 65.6x 104, and molecular weight distribution coefficient is 1.15.展开更多
Bi0.85La0.15FeO3 thin film was prepared on ATO glass substrates by sol-gel technique. The effect of La doping on phase structure, film surface quality, ion valence, and ferroelectric/magnetic properties of Bio.85La0.1...Bi0.85La0.15FeO3 thin film was prepared on ATO glass substrates by sol-gel technique. The effect of La doping on phase structure, film surface quality, ion valence, and ferroelectric/magnetic properties of Bio.85La0.15FeO3 film were investigated. La doping suppressed the formation of impurity phases and the transition of Fe3＋ to Fe2＋ ions at room temperature. Compared with the un-doped BiFeO3, La-doping also increased the average grain size and the film density, which resulted in the decrease of film leakage current density. The remanent polarization and saturation magnetization were enhanced significantly by La doping. The remanent polariza- tion of Bi0.85La0.15FeO3 films gradually decreased while saturation magnetization increased with the decrease of measuring tempera- ture within a range from 50 to 300 K.展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 10671130)the Science Foundation of Shanghai Municipal Education Commission (Grant No. 05DZ07)+2 种基金Shanghai Leading Academic Discipline Project (Grant No. T0401)Leading Foundation of Shanghai Science and Technology Commission (Grant No. 06JC14092)the Foundation of the Scientific Computing Key Laboratory of Shang-hai Universities
文摘Three algorithms based on the bifurcation method are applied to solving the D4 symmetric positive solutions to the boundary value problem of Henon equation. Taking r in Henon equation as a bi- furcation parameter, the D4-Σd(D4-Σ1, D4-Σ2) symmetry-breaking bifurcation points on the branch of the D4 symmetric positive solutions are found via the extended systems. Finally, Σd(Σ1, Σ2) sym- metric positive solutions are computed by the branch switching method based on the Liapunov-Schmidt reduction.
基金National Natural Science Fundation of China(Nos.51571104,11274145) International Cooperation Project of the Ministry of Science and Technology(No.2014DFA91340)
基金This work was supported by the National Natural Science Foundation of China (Grant No. 50071060) the National Specific Foundation for Excellent Ph.D. Thesis.
文摘Microstructure and subsequent phase transformations on heating of the melt-spun Nd85Al15 alloy have been studied by X-ray diffraction, transmission electron microscopy and differential scanning calorimetry. The melt-spun Nd85Al15 alloy shows two-stage transformation processes as follows: amorphous+72 nm supersaturated bcc-Nd(AI) solid solution-7 nm omega-like phase-AINd3+hexagonal Nd. The activation energies for the first and second transformation were found to be 100 kj/mol and 188 kj/mol, respectively. The formation mechanism of nanoscale omega-like phase is discussed.
文摘Implanting 1 ×1016 to1 ×1017 Co+/cm2 into Ni85 Fe15 alloy film anditschangesof mag netoresistantcharacters were researched . The results show that Co+ is very spectacular on modifying Ni85 Fe15 alloyfilm’s magnetoresistancecharacters. Atlower dose,theanisotrop ic magnetoresistivity ratio( AMR) and thesaturated magnetic field didn’tchange almost. ATmedium dose, the saturated magnetic field does not have great change either, butits AMRisraised from 1 % upto 3% . Thisiscomparabletothebest AMRvalueof permalloy based magnetoresistant material prepared by other methods. But the ion implantation tech niqueisrathersimpler. Whentheimplanting doseishigher,its AMRisalsoenhanced notice ably. However,theincreaseof saturated field saysthe material’sstructurecharacters have changed radically.
基金Supported by the National Natural Science Foundation of China (No.20976017)the Technological Project of Hunnan Province(Nos.2010FJ3098 and 2010NK3001)the project funded by Hunnan Province Education Office(No.11C0018)
文摘Poly（L-lactide-co-caprolactone）（85-15）[P（LLA-CL）（85-15）] was synthesized from high purity L-lactide and e-caprolactone using tin octoate as initiator by ring-opening polymerization, and characterized by infrared spectrum and IH-NMR spectrum. The synthesized P（LLA-CL）（85-15） is a random copolymer. The influences of polymerization temperature, polymerization time, dosage of initiator and polymerization pressure on the weight average molecular weight and the polydispersity index of P（LLA-CL）（85-15） were investigated. The optimum preparation conditions of P（LLA-CL）（85-15） are： the polymerization pressure is less than 0.5 Pa, the polymerization temperature is 130 ~C, the n（M）/n（I） ratio is 8 000/1, and the polymerization time is 36 h. Under the condition, the weight-average molecular weight of prepared P（LLA-CL）（85-15） is 65.6x 104, and molecular weight distribution coefficient is 1.15.
基金Project supported by National Natural Science Foundation of China(51072163,51001085)
文摘Bi0.85La0.15FeO3 thin film was prepared on ATO glass substrates by sol-gel technique. The effect of La doping on phase structure, film surface quality, ion valence, and ferroelectric/magnetic properties of Bio.85La0.15FeO3 film were investigated. La doping suppressed the formation of impurity phases and the transition of Fe3＋ to Fe2＋ ions at room temperature. Compared with the un-doped BiFeO3, La-doping also increased the average grain size and the film density, which resulted in the decrease of film leakage current density. The remanent polarization and saturation magnetization were enhanced significantly by La doping. The remanent polariza- tion of Bi0.85La0.15FeO3 films gradually decreased while saturation magnetization increased with the decrease of measuring tempera- ture within a range from 50 to 300 K.
