DYNAMICAL_SYSTEMS

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Optimal dynamical systems of Navier-Stokes equations based on generalized helical-wave bases and the fundamental elements of turbulence被引量：3
《Science China(Physics,Mechanics & Astronomy)》2016年第11期61-69,共9页NaiFu Peng Hui Guan ChuiJie Wu 
supported by the National Natural Science Foundation of China (Grant Nos. 11372068 and 11572350);the National Basic Research Program of China (Grant No. 2014CB744104)
In this paper, we present the theory of constructing optimal generalized helical-wave coupling dynamical systems. Applying the helical-wave decomposition method to Navier-Stokes equations, we derive a pair of coupling...
关键词：optimal dynamical systems helical-wave decomposition fundamental elements of turbulence vortex structures 
Research on the optimal dynamical systems of three-dimensional Navier-Stokes equations based on weighted residual被引量：4
《Science China(Physics,Mechanics & Astronomy)》2016年第4期78-85,共8页NaiFu Peng Hui Guan ChuiJie Wu 
supported by the National Natural Science Foundation of China(Grant Nos.11372068 and 11572350);the National Basic Research Program of China(Grant No.2014CB744104)
In this paper, the theory of constructing optimal dynamical systems based on weighted residual presented by Wu & Sha is applied to three-dimensional Navier-Stokes equations, and the optimal dynamical system modeling e...
关键词：optimal dynamical systems weighted residual three-dimensional Navier-Stokes equations vortex structures 
Painlevé Property and Integrability of Polynomial Dynamical Systems
《Communications in Mathematical Research》2014年第4期358-368,共11页Li Wen-lei Shi Shao-yun 
The NSF (11371166,11301210)of China;National 973 Project (2012CB821200) of China;Jilin Province Youth Science Foundation
The main purpose of this paper is to investigate the connection between the Painlev′e property and the integrability of polynomial dynamical systems. We show that if a polynomial dynamical system has Painlev′e prope...
关键词：Painlev′e property INTEGRABILITY differential Galois group 
Simultaneous identification of unknown time delays and model parameters in uncertain dynamical systems with linear or nonlinear parameterization by autosynchronization被引量：1
《Chinese Physics B》2013年第9期190-196,共7页顾卫东 孙志勇 吴晓明 于长斌 
supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX03005-002);the Shandong Academy of Science Development Fund for Science and Technology, China;the Pilot Project for Science and Technology in Shandong Academy of Science, China
In this paper, we propose a general method to simultaneously identify both unknown time delays and unknown model parameters in delayed dynamical systems based on the autosynchronization technique. The design procedure...
关键词：autosynchronization parameter identification delay identification nonlinear parameterization 
Convergence of global attractors of a 2D non-Newtonian system to the global attractor of the 2D Navier-Stokes system被引量：4
《Science China Mathematics》2013年第2期253-265,共13页ZHAO CaiDi DUAN JinQiao 
supported by National Natural Science Foundation of China(Grant Nos.10901121,11271290 and 11028102);National Basic Research Program of China(Grant No.2012CB426510);Natural Science Foundation of Zhejiang Province(Grant No.Y6080077);Natural Science Foundation of Wenzhou University(Grant No.2008YYLQ01);Zhejiang Youth Teacher Training Project;Wenzhou 551 Project;the Fundamental Research Funds for the Central Universities(Grant No.2010ZD037)
This paper discusses the relation between the long-time dynamics of solutions of the two-dimensional （2D） incompressible non-Newtonian fluid system and the 2D Navier-Stokes system. We first show that the solutions o...
关键词：non-Newtonian fluid system Navier-Stokes system global attractors infinite dimensional dynamical systems 
Hyperbolicity of C^1 -star invariant sets for C^1 -class dynamical systems
《Science China Mathematics》2011年第2期269-280,共12页DAI XiongPing 
supported by National Natural Science Foundation of China (Grant No. 10671088);National Basic Research Program of China (973 Project) (Grant No. 2006CB805903)
In this paper, we simply prove, in the framework of Liao, the hyperbolicity of C 1 -star invariant sets of C 1 -class differential systems on a closed manifold of dimension≤ 4, without using the C 1 -connecting lemma...
关键词：autonomous differential system star property HYPERBOLICITY 
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