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STUDY ON THE STABILITY STRUCTURE OF SYNOPTIC SCALE SYSTEMS,THE BIFURCATION OF PHASE.PATH CHARACTERISTICS AND THE INFLUENCE OF THE TIME-OSCILLATION OF HEAT SOURCE 被引量:1
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作者 徐祥德 《Acta meteorologica Sinica》 SCIE 1989年第1期83-89,共7页
This paper discusses the stability structure and the bifurcation of phase path characteristics of synoptic scale system.The analytic results show that the catastrophe of the synoptic scale disturbance may be caused by... This paper discusses the stability structure and the bifurcation of phase path characteristics of synoptic scale system.The analytic results show that the catastrophe of the synoptic scale disturbance may be caused by the nonlinear effects of barotropic and baroclinic instability and advection of ambient large-scale flow.Also, foregoing nonlinear effects on the speed of development and decay of the system are presented in the processes deviating from or approaching to equilibrium state.It has been found that there is a resonance phenomenon between the time-oscillation of heat source and the atmospheric disturbance. 展开更多
关键词 STUDY ON THE stability STRUCTURE OF SYNOPTIC scale SYSTEMS THE BIFURCATION OF PHASE.PATH CHARACTERISTICS AND THE INFLUENCE OF THE TIME-OSCILLATION OF HEAT SOURCE
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On the Existence,Uniqueness and Stability of Periodic Solutions of Large Scale Systems with Unbounded Delay 被引量:1
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作者 Wang Lian Wang Muqiu Li Liming Institute of Mathematics Academia Sinica Beijing,100080 China Hebei Institute of Finance and Economics Shijiazhuang,050091 China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1994年第1期88-98,共11页
In this paper,we consider the periodic solution problems for the systems with unbounded delay,and the existence,uniqueness and stability of the periodic solution are dealt with unitedly.First we establish the suitable... In this paper,we consider the periodic solution problems for the systems with unbounded delay,and the existence,uniqueness and stability of the periodic solution are dealt with unitedly.First we establish the suitable delay-differential inequality,then study seperately the problems of periodic solution for the systems with bounded delay,with unbounded delay and the Volterra integral-dlfferentlal systems with infinite delay by using the character of matrix measure and the asymptotic fixed point theorem of poincaré’s periodic operator in the different phase spaces.A series of simple criteria for the existence,uniqueness and stability of these systems are obtained. 展开更多
关键词 On the Existence Uniqueness and stability of Periodic Solutions of Large scale Systems with Unbounded Delay
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SCALE-TYPE STABILITY FOR NEURAL NETWORKS WITH UNBOUNDED TIME-VARYING DELAYS
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作者 Liangbo Chen Zhenkun Huang 《Annals of Applied Mathematics》 2016年第3期234-248,共15页
This paper studies scale-type stability for neural networks with unbounded time-varying delays and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and glob... This paper studies scale-type stability for neural networks with unbounded time-varying delays and Lipschitz continuous activation functions. Several sufficient conditions for the global exponential stability and global asymptotic stability of such neural networks on time scales are derived. The new results can extend the existing relevant stability results in the previous literatures to cover some general neural networks. 展开更多
关键词 global asymptotic stability global exponential stability neural networks on time scales
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Multi-time scale dynamics in power electronics-dominated power systems
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作者 Xiaoming YUAN Jiabing HU Shijie CHENG 《Frontiers of Mechanical Engineering》 SCIE CSCD 2017年第3期303-311,共9页
Electric power infrastructure has recently undergone a comprehensive transformation from electromagnetics to semiconductors. Such a development is attributed to the rapid growth of power electronic converter applicati... Electric power infrastructure has recently undergone a comprehensive transformation from electromagnetics to semiconductors. Such a development is attributed to the rapid growth of power electronic converter applications in the load side to realize energy conservation and on the supply side for renewable generations and power transmissions using high voltage direct current transmission. This transformation has altered the fundamental mechanism of power system dynamics, which demands the establishment of a new theory for power system control and protection. This paper presents thoughts on a theoretical framework for the coming semiconducting power systems. 展开更多
关键词 power electronics power systems multi-time scale dynamics mass-spring-damping model self-stabilizing and en-stabilizing property multi-time scale power system stabilizer
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