定量分析识别复杂网络中的重要节点对于研究复杂网络鲁棒性和脆弱性意义重大,当前基于网络结构的节点重要性评估方法成果丰富,而基于复杂网络动力学模型的节点重要性评估方法较少.针对无向加权网络,本文首先提出了构建其对应的复杂网络...定量分析识别复杂网络中的重要节点对于研究复杂网络鲁棒性和脆弱性意义重大,当前基于网络结构的节点重要性评估方法成果丰富,而基于复杂网络动力学模型的节点重要性评估方法较少.针对无向加权网络,本文首先提出了构建其对应的复杂网络动力学模型的方法,并证明了该类复杂网络动力学模型是大范围内一致渐近稳定的;然后建立了复杂网络动力学模型的偏离均值和基于偏离均值的方差两级节点重要性评估标准;最后给出了扰动测试和破坏测试两种基于复杂网络动力学模型的节点重要性评估方法.基于复杂网络动力学模型的节点重要性评估方法不仅结合了网络拓扑结构信息,同时又结合了节点自身的特性,所以评价结果更为全面.将这两种方法用于ARPA(advanced research project agency)网络、对称无向加权网络、社交网络、Dobbs-Watts-Sabel网络和Barrat-Barthelemy-Vespignani网络的重要节点评估,并与已有的复杂网络节点重要性分析方法进行比较,证明了所提出方法的有效性.展开更多
Ti/Sb-SnO2 anodes were prepared by thermal decomposition to examine the influence of the amount of Sb dopant on the structure and electrocatalytic capability of the electrodes in the oxidation of 4-chlorophenol. The p...Ti/Sb-SnO2 anodes were prepared by thermal decomposition to examine the influence of the amount of Sb dopant on the structure and electrocatalytic capability of the electrodes in the oxidation of 4-chlorophenol. The physicochemical properties of the Sb-SnO2 coating were markedly influenced by different amounts of Sb dopant. The electrodes, which contained 5% Sb dopant in the coating, presented a much more homogenous surface and much smaller mud-cracks, compared with Ti/Sb-SnO2 electrodes containing 10% or 15% Sb dopant, which exibited larger mud cracks and pores on the surface. However, the main microstructure remained unchanged with the addition of the Sb dopant. No new crystal phase was observed by X-ray diffraction (XRD). The electrochemical oxidation of 4-chlorophenol on the Ti/SnO2 electrode with 5% Sb dopant was inclined to electrochemical combustion; while for those containing more Sb dopant, intermediate species were accumulated. The electrodes with 5% Sb dopant showed the highest efficiency in the bulk electrolysis of 4-chlorophenol at a current density of 20 mA/cm^2 for 180 min; and the removal rates of 4-chlorophenol and COD were 51.0% and 48.9%, respectively.展开更多
文摘定量分析识别复杂网络中的重要节点对于研究复杂网络鲁棒性和脆弱性意义重大,当前基于网络结构的节点重要性评估方法成果丰富,而基于复杂网络动力学模型的节点重要性评估方法较少.针对无向加权网络,本文首先提出了构建其对应的复杂网络动力学模型的方法,并证明了该类复杂网络动力学模型是大范围内一致渐近稳定的;然后建立了复杂网络动力学模型的偏离均值和基于偏离均值的方差两级节点重要性评估标准;最后给出了扰动测试和破坏测试两种基于复杂网络动力学模型的节点重要性评估方法.基于复杂网络动力学模型的节点重要性评估方法不仅结合了网络拓扑结构信息,同时又结合了节点自身的特性,所以评价结果更为全面.将这两种方法用于ARPA(advanced research project agency)网络、对称无向加权网络、社交网络、Dobbs-Watts-Sabel网络和Barrat-Barthelemy-Vespignani网络的重要节点评估,并与已有的复杂网络节点重要性分析方法进行比较,证明了所提出方法的有效性.
基金Project supported by the Institute of Environmental Engineering,Peking University and China Postdoctoral Science Foundation(No.2005037032)
文摘Ti/Sb-SnO2 anodes were prepared by thermal decomposition to examine the influence of the amount of Sb dopant on the structure and electrocatalytic capability of the electrodes in the oxidation of 4-chlorophenol. The physicochemical properties of the Sb-SnO2 coating were markedly influenced by different amounts of Sb dopant. The electrodes, which contained 5% Sb dopant in the coating, presented a much more homogenous surface and much smaller mud-cracks, compared with Ti/Sb-SnO2 electrodes containing 10% or 15% Sb dopant, which exibited larger mud cracks and pores on the surface. However, the main microstructure remained unchanged with the addition of the Sb dopant. No new crystal phase was observed by X-ray diffraction (XRD). The electrochemical oxidation of 4-chlorophenol on the Ti/SnO2 electrode with 5% Sb dopant was inclined to electrochemical combustion; while for those containing more Sb dopant, intermediate species were accumulated. The electrodes with 5% Sb dopant showed the highest efficiency in the bulk electrolysis of 4-chlorophenol at a current density of 20 mA/cm^2 for 180 min; and the removal rates of 4-chlorophenol and COD were 51.0% and 48.9%, respectively.