Markov transition probability-based network from time series for characterizing experimental two-phase flow  

作　　者：高忠科 胡沥丹 金宁德 

机构地区：[1]School of Electrical Engineering and Automation,Tianjin University

出　　处：《Chinese Physics B》2013年第5期226-231,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China ( Grant Nos. 61104148, 41174109, and 50974095);the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05020-006);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110032120088)

摘　　要：We generate a directed weighted complex network by a method based on Markov transition probability to represent an experimental two-phase flow. We first systematically carry out gas-liquid two-phase flow experiments for measuring the time series of flow signals. Then we construct directed weighted complex networks from various time series in terms of a network generation method based on Markov transition probability. We find that the generated network inherits the main features of the time series in the network structure. In particular, the networks from time series with different dynamics exhibit distinct topological properties. Finally, we construct two-phase flow directed weighted networks from experimental signals and associate the dynamic behavior of gas-liquid two-phase flow with the topological statistics of the generated networks. The results suggest that the topological statistics of two-phase flow networks allow quantitative characterization of the dynamic flow behavior in the transitions among different gas-liquid flow patterns.We generate a directed weighted complex network by a method based on Markov transition probability to represent an experimental two-phase flow. We first systematically carry out gas-liquid two-phase flow experiments for measuring the time series of flow signals. Then we construct directed weighted complex networks from various time series in terms of a network generation method based on Markov transition probability. We find that the generated network inherits the main features of the time series in the network structure. In particular, the networks from time series with different dynamics exhibit distinct topological properties. Finally, we construct two-phase flow directed weighted networks from experimental signals and associate the dynamic behavior of gas-liquid two-phase flow with the topological statistics of the generated networks. The results suggest that the topological statistics of two-phase flow networks allow quantitative characterization of the dynamic flow behavior in the transitions among different gas-liquid flow patterns.

关 键 词：complex network time series analysis chaotic dynamics two-phase flow pattern 

分 类 号：O359.1[理学—流体力学] O211.61[理学—力学]