DYNAMICAL_SYSTEM

作品数：184被引量：216H指数：7
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Predicting solutions of the stochastic fractional order dynamical system using machine learning
《Theoretical & Applied Mechanics Letters》2023年第3期188-198,共11页Zi-Fei Lin Jia-Li Zhao Yan-Ming Liang Jiao-Rui Li 
supported by the National Natural Science Foundation of China(NNSFC)(Grant No.11902234);Natural Science Basic Research Program of Shaanxi(Program No.2020JQ-853);Shaanxi Provincial Department of Education Youth Innovation Team Scientific Research Project(Program No.22JP025);the Young Talents Development Support Program of Xi’an University of Finance and Economics.
The solution of fractional-order systems has been a complex problem for our research.Traditional methods like the predictor-corrector method and other solution steps are complicated and cumbersome to derive,which make...
关键词：Fractional-order dynamical system Gaussian white noise Deep learning FODS-NAR algorithm 
Fast-slow stochastic dynamical system with singular coefficients
《Science China Mathematics》2023年第4期819-838,共20页Longjie Xie 
supported by the Alexander von Humboldt foundation and National Natural Science Foundation of China(Grant Nos.12090011,12071186 and 11931004)。
This paper aims to study the asymptotic behavior of a fast-slow stochastic dynamical system with singular coefficients,where the fast motion is given by a continuous diffusion process while the slow component is drive...
关键词：multi-scale dynamical system averaging principle central limit theorem α-stable process Zvonkin’s transformation 
Exit problem of stochastic SIR model with limited medical resource
《Theoretical & Applied Mechanics Letters》2023年第1期8-13,共6页Y.C.Mao X.B.Liu 
supported by the National Natural Science Foundation of China(No.12172167)。
Nonlinearity and randomness are both the essential attributes for the real world,and the case is the same for the models of infectious diseases,for which the deterministic models can not give a complete picture of the...
关键词：Stochastic epidemic model Stochastic dynamical system Large deviation theory Exit problem 
Stochastic-periodic Homogenization of Maxwell＇s Equations with Linear and Periodic Conductivity
《Acta Mathematica Sinica,English Series》2017年第1期117-152,共36页Joel FOTSO TACHAGO Hubert NNANG 
Supported by UY1-MINESUP-Cameroon
Stochastic-periodic homogenization is studied for the Maxwell equations with the linear ＂and periodic electric conductivity. It is shown by the stochastic-two-scale convergence method that the sequence of solutions t...
关键词：Maxwell＇s equations dynamical system stochastic two-scale convergence 
Effect of time delay on the upper bound of the time derivative of information entropy in a stochastic dynamical system
《Chinese Physics B》2011年第11期122-126,共5页张敏敏 王参军 梅冬成 
supported by the National Natural Science Foundation of China(Grant No.10865006);the Science Foundation of Yunnan University,China(Grant No.2009A01z);the Natural Science Foundation of Shaanxi Province,China(Grant No.2010JQ1014);the Science Foundation of Baoji University of Science and Arts of China(Grant No.ZK0954)
The effects of the time delay on the upper bound of the time derivative of information entropy are investigated in a time-delayed dynamical system driven by correlated noise. Using the Markov approximation of the stoc...
关键词：information entropy upper bound time delay noise 
Generalized synchronization of two unidirectionally coupled discrete stochastic dynamical systems
《Chinese Physics B》2011年第7期107-116,共10页袁志玲 徐振源 过榴晓 
Project supported by the National Natural Science Foundation of China (Grant No.11002061)
The existence of two kinds of generalized synchronization manifold in two unidirectionally coupled discrete stochastic dynamical systems is studied in this paper. When the drive system is chaotic and the modified resp...
关键词：generalized synchronization manifold discrete stochastic dynamical system Lipschitzsmoothness HSlder continuity 
Upper bound for the time derivative of entropy for a stochastic dynamical system with double singularities driven by non-Gaussian noise被引量：2
《Chinese Physics B》2010年第3期233-238,共6页郭培荣 徐伟 刘迪 
Project supported by the National Natural Science Foundation of China (Grant No. 10872165)
A stochastic dynamical system with double singularities driven by non-Gaussian noise is investigated. The Fokker Plank equation of the system is obtained through the path-integral approach and the method of transforma...
关键词：non-Gaussian noise stochastic dynamical system with double singularities informationentropy upper bound for the time derivative of entropy 
RESEARCH ANNOUNCEMENTS——Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing
《数学进展》2007年第1期119-121,共3页黄代文 GUO Boling 
Foundation item:The work was supported in part by the NSFC(No.90511009).
We consider the two-dimensional stochastic quasi-geostrophic equation ■=1/(R_e)△~2■-r/2△■+f(x,y,t)(1.1) on a regular bounded open domain D ■,where ■ is the stream function,F Froude Number (F≈O(1)),R_e Reynolds...
关键词：RESEARCH ANNOUNCEMENTS Random Attractors for a Dissipative Quasi-geostrophic Dynamical System Under Stochastic Forcing 
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