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Complex-rotation方法研究白矮星磁场中氢原子的光电离截面
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作者 刘凤丽 《黑龙江大学自然科学学报》 2024年第6期711-717,共7页
利用Complex-rotation方法,结合混合的斯莱特-朗道扩展基集,在假设质子的质量无限大的条件下,计算了给定白矮星磁场范围氢原子的光电离截面。计算了新的三种束缚态向自由态跃迁的光电离截面,即2s_(0)→0^(-)、2_(p0)→(-1)^(-)和3d_(0)... 利用Complex-rotation方法,结合混合的斯莱特-朗道扩展基集,在假设质子的质量无限大的条件下,计算了给定白矮星磁场范围氢原子的光电离截面。计算了新的三种束缚态向自由态跃迁的光电离截面,即2s_(0)→0^(-)、2_(p0)→(-1)^(-)和3d_(0)→0^(-)跃迁的光电离截面,选定磁感应强度分别为0.01、0.05、0.10和0.50 a.u.。部分计算结果与参考文献中采用绝热基展开方法和通道耦合理论的计算结果进行了比较,在远离朗道阈值的能量区域显示出极好的一致性,说明本文的计算方法和技术路线的正确性和合理性。相关计算结果有助于解释具有强磁场的天体中复杂的正能谱现象,此方案可用于系统地计算光谱建模需要的数据。 展开更多
关键词 complex-rotation方法 氢原子 光电离截面 磁化的白矮星
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Stability of One Kind Complex-Valued System by Lyapunov Function with Impulsive Control Field
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作者 Wei Yang 《Journal of Applied Mathematics and Physics》 2024年第11期3889-3896,共8页
In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. W... In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. We study the convergence of the complex-valued system with impulsive control fields by one Lyapunov function based on the state distance and the invariant principle of impulsive systems. We propose new results for the mentioned complex-valued systems in the form of sufficient conditions and also present one numerical simulation to illustrate the effectiveness of the proposed control method. 展开更多
关键词 complex-Valued System Lyapunov Function STABILITY
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Application of Stability Criteria for Complex-Valued Impulsive System by Lyapunov Function
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作者 Wei Yang 《International Journal of Modern Nonlinear Theory and Application》 2024年第4期45-52,共8页
Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of fi... Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of finite dimensional complex-valued systems with impulsive control fields, where the studied complex-valued systems are governed by the Schrödinger equation and can be used in quantum systems. By one Lyapunov function based on state error and the invariant principle of impulsive systems, I study the convergence of complex-valued systems with impulsive control fields and propose new results for the mentioned complex-valued systems in the form of sufficient conditions. A numerical simulation to validate the proposed control method is provided. 展开更多
关键词 complex-Valued Systems STABILITY Lyapunov Function Impulsive Control Field
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Structure identification of an uncertain network coupled with complex-variable chaotic systems via adaptive impulsive control 被引量:1
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作者 刘丹峰 吴召艳 叶青伶 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第4期183-190,共8页
In this paper, structure identification of an uncertain network coupled with complex-variable chaotic systems is in- vestigated. Both the topological structure and the system parameters can be unknown and need to be i... In this paper, structure identification of an uncertain network coupled with complex-variable chaotic systems is in- vestigated. Both the topological structure and the system parameters can be unknown and need to be identified. Based on impulsive stability theory and the Lyapunov function method, an impulsive control scheme combined with an adaptive strategy is adopted to design effective and universal network estimators. The restriction on the impulsive interval is relaxed by adopting an adaptive strategy. Further, the proposed method can monitor the online switching topology effectively. Several numerical simulations are provided to illustrate the effectiveness of the theoretical results. 展开更多
关键词 structure identification NETWORK complex-variable chaotic system impulsive control
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Synthesization of high-capacity auto-associative memories using complex-valued neural networks 被引量:1
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作者 黄玉娇 汪晓妍 +1 位作者 龙海霞 杨旭华 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第12期194-201,共8页
In this paper, a novel design procedure is proposed for synthesizing high-capacity auto-associative memories based on complex-valued neural networks with real-imaginary-type activation functions and constant delays. S... In this paper, a novel design procedure is proposed for synthesizing high-capacity auto-associative memories based on complex-valued neural networks with real-imaginary-type activation functions and constant delays. Stability criteria dependent on external inputs of neural networks are derived. The designed networks can retrieve the stored patterns by external inputs rather than initial conditions. The derivation can memorize the desired patterns with lower-dimensional neural networks than real-valued neural networks, and eliminate spurious equilibria of complex-valued neural networks. One numerical example is provided to show the effectiveness and superiority of the presented results. 展开更多
关键词 associative memory complex-valued neural network real-imaginary-type activation function external input
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Complex-mode Galerkin approach in transverse vibration of an axially accelerating viscoelastic string 被引量:1
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作者 张能辉 王建军 程昌钧 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第1期1-9,共9页
Under the consideration of harmonic fluctuations of initial tension and axially velocity, a nonlinear governing equation for transverse vibration of an axially accelerating string is set up by using the equation of mo... Under the consideration of harmonic fluctuations of initial tension and axially velocity, a nonlinear governing equation for transverse vibration of an axially accelerating string is set up by using the equation of motion for a 3-dimensional deformable body with initial stresses. The Kelvin model is used to describe viscoelastic behaviors of the material. The basis function of the complex-mode Galerkin method for axially accelerating nonlinear strings is constructed by using the modal function of linear moving strings with constant axially transport velocity. By the constructed basis functions, the application of the complex-mode Galerkin method in nonlinear vibration analysis of an axially accelerating viscoelastic string is investigated. Numerical results show that the convergence velocity of the complex-mode Galerkin method is higher than that of the real-mode Galerkin method for a variable coefficient gyroscopic system. 展开更多
关键词 axially accelerating string viscoelasticity transverse nonlinear vibration complex-mode Galerkin method geometry nonlinearity
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WIDELY LINEAR RLS CONSTANT MODULUS ALGORITHM FOR COMPLEX-VALUED NONCIRCULAR SIGNALS 被引量:1
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作者 Zhang Ting Wang Bin Liu Shigang 《Journal of Electronics(China)》 2014年第5期416-426,共11页
Based on the constant modulus criterion, a new Widely Linear(WL) blind equalizer and a novel widely linear recursive least square constant modulus algorithm are proposed to improve the blind equalization performance f... Based on the constant modulus criterion, a new Widely Linear(WL) blind equalizer and a novel widely linear recursive least square constant modulus algorithm are proposed to improve the blind equalization performance for complex-valued noncircular signals. The new algorithm takes advantage of the WL filtering theory by taking full use of second-order statistical information of the complex-valued noncircular signals. Therefore, the weight vector contains the complete second-order information of the real and imaginary parts to decrease the residual inter-symbol interference effectively. Theoretical analysis and simulation results show that the proposed scheme can significantly improve the equalization performance for complex-valued noncircular signals compared with traditional blind equalization algorithms. 展开更多
关键词 complex-valued noncircular signals Blind equalization Widely Linear(WL) filtering Constant modulus
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CONSTRUCTION SPACE HARMONIC FUNCTIONS IN POLYN0MIAL FORM AND SPHERICAL FUNCTIONS BY COMPLEX-FUNCTIONAL
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作者 王其申 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第9期877-881,共5页
In this paper, applying the theory of complex-functional, not only the spaceharmonic functions in polynomial form. but aIso the spherical functions are obtained.
关键词 complex-functional harmonic functions spherical functions
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Learning Dynamics of the Complex-Valued Neural Network in the Neighborhood of Singular Points
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作者 Tohru Nitta 《Journal of Computer and Communications》 2014年第1期27-32,共6页
In this paper, the singularity and its effect on learning dynamics in the complex-valued neural network are elucidated. It has learned that the linear combination structure in the updating rule of the complex-valued n... In this paper, the singularity and its effect on learning dynamics in the complex-valued neural network are elucidated. It has learned that the linear combination structure in the updating rule of the complex-valued neural network increases the speed of moving away from the singular points, and the complex-valued neural network cannot be easily influenced by the singular points, whereas the learning of the usual real-valued neural network can be attracted in the neighborhood of singular points, which causes a standstill in learning. Simulation results on the learning dynamics of the three-layered real-valued and complex-valued neural networks in the neighborhood of singularities support the analytical results. 展开更多
关键词 complex-Valued NEURAL Network COMPLEX Number LEARNING SINGULAR Point
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DECODING BEYOND THE BOUND OF THE COMPLEX-ROTARY CODE AND ITS DUAL CODE
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作者 袁毅 靳番 《Journal of Electronics(China)》 1991年第1期86-89,共4页
The capabilities of decoding beyond the bound of the Complex-Rotary code (CRcodes) and its dual code are analyzed. It is obtained that the CR codes with normal error-correcting ability t = (p+1)/2 can correct (t+... The capabilities of decoding beyond the bound of the Complex-Rotary code (CRcodes) and its dual code are analyzed. It is obtained that the CR codes with normal error-correcting ability t = (p+1)/2 can correct (t+1)-errors up to C<sub>p<sup>2</sup>+p(p+1)</sub><sup>t+1</sup>-p<sup>2Ct</sup><sub>2t+1</sub> and itsdual code can correct (t<sub>1</sub>+1)-errors up to C<sub>p<sup>2</sup>+2tp</sub><sup>t<sub>1</sub>+1</sup>-2tpC<sub>p+1</sub><sup>t<sub>1</sub>+1</sup> where t<sub>1</sub>=(p+1)/2-1 and pis a prime. 展开更多
关键词 complex-Rotary CODE Dual CODE DECODING BEYOND the BOUND
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Application of sampled grating to control the lasing wavelength in complex-coupled DFB laser
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作者 王桓 朱洪亮 +6 位作者 贾凌慧 陈向飞 孔端花 王列松 张伟 赵玲娟 王圩 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第7期2868-2872,共5页
This paper reports that the complex-coupled distributed feedback laser with the sampled grating has been designed and fabricated.The +1st order reflection of the sampled grating is utilized for laser single mode oper... This paper reports that the complex-coupled distributed feedback laser with the sampled grating has been designed and fabricated.The +1st order reflection of the sampled grating is utilized for laser single mode operation,which is 1.5387 μm in the experiment.The typical threshold current of the device is 30 mA,and the optical output power is about 10 mW at the injection current of 100 mA. 展开更多
关键词 sampled grating complex-coupled +1st order mode distributed feedback laser
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Ultrashort optical pulse shaper based on complex-modulated long-period-grating coupler
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作者 董小伟 刘文楷 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第2期287-290,共4页
In this paper,we present a novel ultrashort pulse shaper based on complex-modulated long-period-grating coupler(CM-LPGC).Temporal rectangular waveform with 2-ps full width at half maximum(FWHM) is obtained by tran... In this paper,we present a novel ultrashort pulse shaper based on complex-modulated long-period-grating coupler(CM-LPGC).Temporal rectangular waveform with 2-ps full width at half maximum(FWHM) is obtained by transforming the input Gaussian pulse.Tolerances of the CM-LPGC-based shaper to various non-ideal excitation conditions and fabricating errors are investigated.Results confirm that CM-LPGC is stable and suitable for optical pulse shaping operation. 展开更多
关键词 ultrafast process optical pulse shaper complex-modulated long-period-grating coupler rectangular waveform
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Multistability of delayed complex-valued recurrent neural networks with discontinuous real-imaginarytype activation functions
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作者 黄玉娇 胡海根 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第12期271-279,共9页
In this paper, the multistability issue is discussed for delayed complex-valued recurrent neural networks with discontinuous real-imaginary-type activation functions. Based on a fixed theorem and stability definition,... In this paper, the multistability issue is discussed for delayed complex-valued recurrent neural networks with discontinuous real-imaginary-type activation functions. Based on a fixed theorem and stability definition, sufficient criteria are established for the existence and stability of multiple equilibria of complex-valued recurrent neural networks. The number of stable equilibria is larger than that of real-valued recurrent neural networks, which can be used to achieve high-capacity associative memories. One numerical example is provided to show the effectiveness and superiority of the presented results. 展开更多
关键词 complex-valued recurrent neural network discontinuous real-imaginary-type activation function MULTISTABILITY delay
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Neural mechanism of gastric motility regulation by electroacupuncture at RN12 and BL21: A paraventricular hypothalamic nucleus-dorsal vagal complex-vagus nervegastric channel pathway 被引量:32
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作者 Hao Wang Wen-Jian Liu +3 位作者 Guo-Ming Shen Meng-Ting Zhang Shun Huang Ying He 《World Journal of Gastroenterology》 SCIE CAS 2015年第48期13480-13489,共10页
AIM: To study the neural mechanism by which electroacupuncture(EA) at RN12(Zhongwan) and BL21(Weishu) regulates gastric motility.METHODS: One hundred and forty-four adult Sprague Dawley rats were studied in four separ... AIM: To study the neural mechanism by which electroacupuncture(EA) at RN12(Zhongwan) and BL21(Weishu) regulates gastric motility.METHODS: One hundred and forty-four adult Sprague Dawley rats were studied in four separate experiments. Intragastric pressure was measured using custommade rubber balloons, and extracellular neuron firing activity, which is sensitive to gastric distention in the dorsal vagal complex(DVC), was recorded by an electrophysiological technique. The expression levels of c-fos, motilin(MTL) and gastrin(GAS) in the paraventricular hypothalamic nucleus(PVN) were assayed by immunohistochemistry, and the expression levels of motilin receptor(MTL-R) and gastrin receptor(GAS-R) in both the PVN and the gastric antrum were assayed by western blotting.RESULTS: EA at RN12 + BL21(gastric Shu and Mu points), BL21(gastric Back-Shu point), RN12(gastric Front-Mu point), resulted in increased neuron-activating frequency in the DVC(2.08 ± 0.050, 1.17 ± 0.023, 1.55 ± 0.079 vs 0.75 ± 0.046, P < 0.001) compared with a model group. The expression of c-fos(36.24 ± 1.67, 29.41 ± 2.55, 31.79 ± 3.00 vs 5.73 ± 2.18, P < 0.001), MTL(22.48 ± 2.66, 20.76 ± 2.41, 19.17 ± 1.71 vs 11.68 ± 2.52, P < 0.001), GAS(24.99 ± 2.95, 21.69 ± 3.24, 23.03 ± 3.09 vs 12.53 ± 2.15, P < 0.001), MTL-R(1.39 ± 0.05, 1.22 ± 0.05, 1.17 ± 0.12 vs 0.84 ± 0.06, P < 0.001), and GAS-R(1.07 ± 0.07, 0.91 ± 0.06, 0.78 ± 0.05 vs 0.45 ± 0.04, P < 0.001) increased in the PVN after EA compared with the model group. The expression of MTL-R(1.46 ± 0.14, 1.26 ± 0.11, 0.99 ± 0.07 vs 0.65 ± 0.03, P < 0.001), and GAS-R(1.63 ± 0.11, 1.26 ± 0.16, 1.13 ± 0.02 vs 0.80 ± 0.11, P < 0.001) increased in the gastric antrum after EA compared with the model group. Damaging the PVN resulted in reduced intragastric pressure(13.67 ± 3.72 vs 4.27 ± 1.48, P < 0.001). These data demonstrate that the signals induced by EA stimulation of acupoints RN12 and BL21 are detectable in the DVC and the PVN, and increase the levels of gastrointestinal hormones and their receptors in the PVN and gastric antrum to regulate gastric motility. CONCLUSION: EA at RN12 and BL21 regulates gastric motility, which may be achieved through the PVN-DVCvagus-gastric neural pathway. 展开更多
关键词 DORSAL VAGAL complex GASTRIN RECEPTOR MOTILIN RECEPTOR Neuronal firing activity Paraventricularhypothalamic nucleus RN12 BL21
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Eu(Ⅲ) complex-doped PMMA having fast radiation rate and high emission quantum efficiency 被引量:5
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作者 Jin Li Zhang Bo Wei Chen +1 位作者 Xuan Luo Kai Du 《Chinese Chemical Letters》 SCIE CAS CSCD 2012年第8期945-948,共4页
Three Eu(III) ternary complexes, Eu(hfa-H)3(Phen), Eu(hfa-H)3(Bipy) and Eu(hfa-H)3(Bath) (hfa = hexafluoroacetylacetonate, Phen = 1,10-phenanthroline, Bipy = 2,2'-bipyridine, Bath = bathophenanthroline... Three Eu(III) ternary complexes, Eu(hfa-H)3(Phen), Eu(hfa-H)3(Bipy) and Eu(hfa-H)3(Bath) (hfa = hexafluoroacetylacetonate, Phen = 1,10-phenanthroline, Bipy = 2,2'-bipyridine, Bath = bathophenanthroline), were synthesized. Their luminescent properties were studied by incorporating deuterated Eu(III) complexes in a poly(methylmethacrylate) (PMMA) matrix, and the results indicated that luminescent PMMA including Eu(hfa-D)3(Bath) showed promising results for applications to novel organic Eu(III) devices, such as the high-power laser materials. Additionally, all the three Eu(III) complexes exhibited good thermostabilization. 展开更多
关键词 Photolunainescence Eu(III) complex Rare earths
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基于complex-EOF的高频地波雷达海流数据的空时特性
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作者 沈志奔 吴雄斌 +2 位作者 邓海华 彭亮 董梁 《太赫兹科学与电子信息学报》 2017年第4期656-662,共7页
利用布设在高频地波雷达福建示范区的东山、龙海2个雷达站的约3天的海流数据进行矢量正交经验函数分析。分析结果表明前3个模态的方差贡献率分别为91%、4%和1.4%,累计方差贡献率达到了96%,是主要模态。模态1的空时分布特性表明模态1主... 利用布设在高频地波雷达福建示范区的东山、龙海2个雷达站的约3天的海流数据进行矢量正交经验函数分析。分析结果表明前3个模态的方差贡献率分别为91%、4%和1.4%,累计方差贡献率达到了96%,是主要模态。模态1的空时分布特性表明模态1主要反映了半日潮流的信息,并且在一定程度上反映了水深分布的信息;模态2的空时分布特性表明模态2主要反映了风生流以及流场旋转特性的信息;模态3的空时分布特性表明模态3主要反映了上升流的信息。 展开更多
关键词 矢量正交经验函数分析 高频地波雷达 模态 海流 空时特性
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Synthesis,Structure and Properties of a Novel Copper(Ⅱ)-2,2'- biimidazole Complex-supported Compound:[Cu(H_2biim)_2]{[Cu(H_2biim)_2 ]_2[H_(10)W_(12)O_(44)]}·8H_2O 被引量:1
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作者 陈伟鹏 仪晓凤 +1 位作者 桑瑞利 徐立 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2013年第11期1696-1702,共7页
A new copper(II)-2,2'-biimidazole metal-organic POMs-supported compound [Cu(H2biim)2]{[Cu(H2biim)212[H10W12O44]}'8H2O (H2biim = 2,2'-biimidazole) has been success- fully synthesized under hydrothermal condi... A new copper(II)-2,2'-biimidazole metal-organic POMs-supported compound [Cu(H2biim)2]{[Cu(H2biim)212[H10W12O44]}'8H2O (H2biim = 2,2'-biimidazole) has been success- fully synthesized under hydrothermal conditions and characterized by single-crystal X-ray diffraction, IR spectroscopy, elemental analysis and TG. The crystal adopts space group Pi with a = 11.800(2), b = 13.437(3), c = 13.685(3) A, V = 1922.5(7) A3, D,. = 3.507 g/cm3, C36H62Cu3N24W12O52, M,. = 4059.92, F(000) = 1837,μ = 18.796 mm-1, Z = 1, R = 0.0579 and wR = 0.1465 for 8734 observed reflections (I 〉 2σ(I)). X-ray crystallography analysis exhibits that the title compound consists of one [H10W12044]6- polyanion and three [Cu(H2biim)2] units. And significant π-π stacking interactions and intermolecular O-H-,.O or N-H.'-O hydrogen-bonding interactions lead to a three-dimensional supramolecular framework. Thermal stability and magnetic property of the complex have also been investigated. 展开更多
关键词 polyoxometalates inorganic-organic hybrid Cu(II complex π...π stacking interactions HYDROGEN-BONDING
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Compact implicit integration factor methods for some complex-valued nonlinear equations 被引量:1
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作者 张荣培 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第4期49-53,共5页
The compact implicit integration factor (cIIF) method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF me... The compact implicit integration factor (cIIF) method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger (NLS) equation and the complex Ginzburg-Landau (GL) equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient. 展开更多
关键词 compact implicit integration factor method finite difference nonlinear Schrodinger equa-tion complex Ginzburg Landau equation
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The Performance of Rhodium Complex-diphosphine Systems in the Hydroformylation of 1-Dodecene
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作者 Xue Yuan HUANG Rui Xiang LI +1 位作者 Hua CHEN Xian Jun LI 《Chinese Chemical Letters》 SCIE CAS CSCD 2003年第6期623-626,共4页
The catalytic performances of four HRh(CO)(PPh3)3-diphosphine (BISBI,BDPX, BDNA and BINAP) systems in 1-dodecene hydroformylation were investigated and compared with HRh(CO)(PPh3)3-PPh3 system. The catalyst system HR... The catalytic performances of four HRh(CO)(PPh3)3-diphosphine (BISBI,BDPX, BDNA and BINAP) systems in 1-dodecene hydroformylation were investigated and compared with HRh(CO)(PPh3)3-PPh3 system. The catalyst system HRh(CO)(PPh3)3-BISBI exhibited very high regioselectivity for the formation of linear aldehyde. 展开更多
关键词 HYDROFORMYLATION 1-DODECENE DIPHOSPHINE rhodium complex.
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Synthesis and Fluorescent Property of Europium Ternary Complex-MMA Copolymer
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作者 Suo Quanling Xiao Huanming Wang Yibing Zheng Yan 《Journal of Rare Earths》 SCIE EI CAS CSCD 2005年第6期671-671,共1页
Under the mild condition a new ternary rare earth complex Eu ( DBM )2MA · 2H2O [ DBM: C6H5COCHCOC6H5; MA: CH2C(CH3)COO^- ] was synthesized by the reaction of EuCl3 with dibenzoylmethane and methacrylate in ... Under the mild condition a new ternary rare earth complex Eu ( DBM )2MA · 2H2O [ DBM: C6H5COCHCOC6H5; MA: CH2C(CH3)COO^- ] was synthesized by the reaction of EuCl3 with dibenzoylmethane and methacrylate in alcohol. A new bonded copolymer Eu(DBM)2MA-MMA was prepared by copolymerization of the Eu(DBM)2MA·2H2O complex with methyl methacrylate(MMA) monomer using AIBN as an initiator. The composition, structure and fluorescence properties of the complex and copolymer were characterized by means of elemental analysis, complex titration, IR, UV-VIS and fluorescent spectra. The thermal stability, glass temperature and average molecular weight of the copolymer Eu(DBM)2MA-MMA were determined by TG-DTA, DSC and GPC, respectively. The research results show that both of the ternary rare earth complex and the copolymer can emit strong Eu(Ⅲ) fluorescence at 613 nm. 展开更多
关键词 rare earth copolymer ternary complex fluorescence property LUMINESCENCE EUROPIUM
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