Synchronization of networked phase oscillators depends essentially on the correlation between the topological structure of the graph and the dynamical property of the elements. We propose the concept of ＇reduced freq...Synchronization of networked phase oscillators depends essentially on the correlation between the topological structure of the graph and the dynamical property of the elements. We propose the concept of ＇reduced frequency＇, a measure which can quantify natural frequencies of each pair of oscillators. Then we introduce an evolving network whose linking rules are controlled by its own dynamical property. The simulation results indicate that when the linking probability positively correlates with the reduced frequency, the network undergoes a first-order phase transition. Meanwhile, we discuss the circumstance under which an explosive synchronization can be ignited. The numerical results show that the peculiar butterfly shape correlation between frequencies and degrees of the nodes contributes to an explosive synchronization transition.展开更多
This paper studies the stability of jointed rock slopes by using our improved three-dimensional discrete element methods(DEM)and physical modeling.Results show that the DEM can simulate all failure modes of rock slope...This paper studies the stability of jointed rock slopes by using our improved three-dimensional discrete element methods(DEM)and physical modeling.Results show that the DEM can simulate all failure modes of rock slopes with different joint configurations.The stress in each rock block is not homogeneous and blocks rotate in failure development.Failure modes depend on the configuration of joints.Toppling failure is observed for the slope with straight joints and sliding failure is observed for the slope with staged joints.The DEM results are also compared with those of limit equilibrium method(LEM).Without considering the joints in rock masses,the LEM predicts much higher factor of safety than physical modeling and DEM.The failure mode and factor of safety predicted by the DEM are in good agreement with laboratory tests for any jointed rock slope.展开更多
基金Supported by the Open Fund from Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing under Grant No 2015CSOBDP0101the National Natural Science Foundation of China under Grant No11162019
文摘Synchronization of networked phase oscillators depends essentially on the correlation between the topological structure of the graph and the dynamical property of the elements. We propose the concept of ＇reduced frequency＇, a measure which can quantify natural frequencies of each pair of oscillators. Then we introduce an evolving network whose linking rules are controlled by its own dynamical property. The simulation results indicate that when the linking probability positively correlates with the reduced frequency, the network undergoes a first-order phase transition. Meanwhile, we discuss the circumstance under which an explosive synchronization can be ignited. The numerical results show that the peculiar butterfly shape correlation between frequencies and degrees of the nodes contributes to an explosive synchronization transition.
基金supported by the Research Project of the ChineseAcademy of Sciences(Grant No.KJCX2-SW-L1)the National 973 Project(Grant No.2002CB412703).
文摘This paper studies the stability of jointed rock slopes by using our improved three-dimensional discrete element methods(DEM)and physical modeling.Results show that the DEM can simulate all failure modes of rock slopes with different joint configurations.The stress in each rock block is not homogeneous and blocks rotate in failure development.Failure modes depend on the configuration of joints.Toppling failure is observed for the slope with straight joints and sliding failure is observed for the slope with staged joints.The DEM results are also compared with those of limit equilibrium method(LEM).Without considering the joints in rock masses,the LEM predicts much higher factor of safety than physical modeling and DEM.The failure mode and factor of safety predicted by the DEM are in good agreement with laboratory tests for any jointed rock slope.
