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Effects of the Frequency-degree Correlation on Local Synchronization in Complex Networks
Shijin Jiang,Wenyi Fang,Shaoting Tang,Sen Pei,Shu Yan,Zhiming Zheng 한국물리학회 2015 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.67 No.2
We investigate the effects of the frequency-degree correlation on local synchronization in complex networks with Kuramoto oscillators. We find that a discontinuous synchronization transition occurs in the local patterns for heterogenous networks while for homogenous networks, the local synchronization transition remains continuous. Then, we extend our study to a general frequency-degree correlation case and conclude that the positive correlation does not change the local synchronization patterns while in the case of a negative correlation, the local synchronization transition degenerates to second order. Moreover, the correlation parameter α is verified to have a strong influence on the synchronization level. In particular, smaller |α| results in higher synchronization ability and faster speed to a synchronized state. Our study provides a deeper understanding of the effects of the frequency-degree correlation on network synchronization.
Using ARIMA Model to Fit and Predict Index of Stock Price Based on Wavelet De-Noising
Shihua Luo,Fang Yan,Dejian Lai,Wenyi Wu,Fucai Lu 보안공학연구지원센터 2016 International Journal of u- and e- Service, Scienc Vol.9 No.12
To accommodate non-stationarity and strong noise in the SPI data, the research used wavelet method for de-noising and autoregressive integrated moving average model(ARIMA) for prediction. Seven-day moving averages of closing time SPI data in four Asian stock marketswereanalyzed.Empiricalresults show that after de-noising more accurate forecasting results can be obtained in developed markets. More developed market indexes seem more significant improvement; while for less developed market indexes, the improvement of de-noising is less significant. This is in accordance with current situation of market.