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随机非完整Hamilton系统的几乎必然样本稳定性
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作者 栗苹 尚玫 刘衍平 《现代电力》 2002年第2期13-17,共5页
研究了随机非完整系统的样本稳定性。首先将受非完整约束的力学系统表述为非完整 Hamilton系统 ;然后考虑随机扰动 ,得到随机非完整 Hamilton系统的运动方程 ;最后用推广的 Khasminskii定理判别随机非完整系统的几乎必然样本稳定性。由... 研究了随机非完整系统的样本稳定性。首先将受非完整约束的力学系统表述为非完整 Hamilton系统 ;然后考虑随机扰动 ,得到随机非完整 Hamilton系统的运动方程 ;最后用推广的 Khasminskii定理判别随机非完整系统的几乎必然样本稳定性。由此可见 ,利用广义 Khasminskii定理讨论了一类特殊的非线性、非完整系统的几乎必然样本稳定性 ,当遍历性条件不满足时应考虑奇异边界的划分问题 ,以及样本函数在各遍历分支上的性态。 展开更多
关键词 随机非完整Hamilton系统 样本稳定性 随机扰动 随机力学系统
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Telemonitoring and hemodynamic monitoring to reduce hospitalization rates in heart failure: a systematic review and meta-analysis of randomized controlled trials and real-world studies
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作者 Gary Tse Cynthia Chan +13 位作者 Mengqi Gong Lei MENG Jian ZHANG Xiao-Ling SU Sadeq Ali-Hasan-Al-Saegh Abhishek C Sawant George Bazoukis Yun-Long XIA Ji-Chao Zhao Alex Pui Wai Lee Leonardo Roever Martin CS Wong Adrian Baranchuk Tong Liu 《Journal of Geriatric Cardiology》 SCIE CAS CSCD 2018年第4期298-309,共12页
Background Heart failure is a significant problem leading to repeated hospitalizations. Telemonitoring and hemodynamic monitoring have demonstrated success in reducing hospitalization rates, but not all studies report... Background Heart failure is a significant problem leading to repeated hospitalizations. Telemonitoring and hemodynamic monitoring have demonstrated success in reducing hospitalization rates, but not all studies reported significant effects. The aim of this systematic review and meta-analysis is to examine the effectiveness of telemonitoring and wireless hemodynamic monitoring devices in reducing hospitalizations in heart failure. Methods & Results PubMed and Cochrane Library were searched up to 1st May 2017 for articles that investigated the effects of telemonitoring or hemodynamic monitoring on hospitalization rates in heart failure. In 31,501 patients (mean age: 68 ± 12 years; 61% male; follow-up 11 ± 8 months), telemonitoring reduced hospitalization rates with a HR of 0.73 (95% CI: 0.65-0.83; P 〈 0.0001) with significant heterogeneity (I2 = 94%). These effects were observed in the short-term (≤ 6 months: HR = 0.77, 95% CI: 0.65-0.89; P 〈 0.01) and long-term (≥ 12 months: HR = 0.73, 95% CI: 0.62-0.87; P 〈 0.0001). In 4831 patients (mean age 66 ± 18 years; 66% male; follow-up 13 ± 4 months), wireless hemodynamic monitoring also reduced hospitalization rates with a HR of 0.60 (95% CI: 0.53-0.69; P 〈 0.001) with significant heterogeneity (I2 = 64%).This reduction was observed both in the short-term (HR = 0.55, 95% CI: 0.45-0.68; P 〈 0.001; I2 = 72%) and long-term (HR = 0.64, 95% CI: 0.57-0.72; P 〈 0.001; I2 = 55%). Conclusions Telemonitoring and hemodynamic monitoring reduce hospitalization in both short- and long-term in heart failure patients 展开更多
关键词 Heart failure Hemodynamic monitoring HOSPITALIZATION TELEMEDICINE TELEMONITORING
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Stochastic dynamic simulation of the 100-kyr cycles in climate system
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作者 DUAN MingKeng ZHOU XiuJi 《Science China Earth Sciences》 SCIE EI CAS CSCD 2015年第3期420-428,共9页
Based upon the stochastic resonance theory,the formation mechanism of 100-kyr cycles in climate system is numerically studied in the perspective of stochastic dynamics.In this study,firstly we combine the idealized al... Based upon the stochastic resonance theory,the formation mechanism of 100-kyr cycles in climate system is numerically studied in the perspective of stochastic dynamics.In this study,firstly we combine the idealized albedo model with the geological evidence and observation in climate system to construct a new albedo model.Secondly,a bistable nonlinear system is constructed by introducing the albedo model into zero-dimensional energy balance model.Finally,based on this new system,with the solar radiation cycles and stochastic perturbation simultaneously taken into account,the variation of 100-kyr cycles is analyzed by numerical simulations.The results show that,when the noise intensity reaches a certain value,the stochastic resonance can be triggered.However,the noise intensity in this level does not exist in the actual climate system.In order to explain the formation mechanism of 100-kyr glacial-interglacial cycles forced by the weak solar radiation cycles,besides the solar radiation stochastic perturbation,the stochastic dynamic effects of the other "non-solar" radiation stochastic perturbation in the climate change processes should also be considered.The stochastic dynamic simulations taking the two types of stochastic perturbation into consideration show that,when the two types of appropriately observable stochastic perturbation are introduced,the stochastic resonance also can be generated.In this situation,the contribution rate of solar radiation stochastic perturbation is about 38%,which proves the importance of solar radiation stochastic perturbation in the formation of 100-kyr climate cycles. 展开更多
关键词 solar radiation climate change stochastic dynamics stochastic resonance energy balance model
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Dynamics behaviors of a delayed competitive system in a random environment 被引量:4
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作者 Ronghua Tan Huili Xiang Yiping Chen Zhijun Liu 《International Journal of Biomathematics》 2015年第5期181-199,共19页
In the real world, the population systems are often subject to white noises and a system with such stochastic perturbations tends to be suitably modeled by stochastic differential equations. This paper is concerned wi... In the real world, the population systems are often subject to white noises and a system with such stochastic perturbations tends to be suitably modeled by stochastic differential equations. This paper is concerned with the dynamic behaviors of a delay stochastic competitive system. We first obtain the global existence of a unique positive solution of system. Later, we show that the solution of system will be stochastically ultimate boundedness. However, large noises may make the system extinct exponentially with probability one. Also, sufficient conditions for the global attractivity of system are established. FinMly, illustrated examples are given to show the effectiveness of the proposed criteria. 展开更多
关键词 Delayed competitive system white noise stochastically ultimate bounded-ness EXTINCTION global attractivity.
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