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DYNAMICAL_SYSTEMS: 作品数：176被引量：237H指数：8; 导出分析报告; 相关作者：李远禄于盛林任雪梅陈杰陈予恕更多>>; 相关机构：中国科学院数学与系统科学研究院西安交通大学南京师范大学北京理工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金河南省自然科学基金更多>>

Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application被引量：1: 《Science China Mathematics》2023年第7期1473-1494,共22页Kaiyin Huang Shaoyun Shi Shuangling Yang; supported by National Natural Science Foundation of China(Grant No.11771177),National Natural Science Foundation of China(Grant Nos.12001386 and 12090013);Science and Technology Development Project of Jilin Province(Grant No.YDZJ202101ZYTS141);supported by Sichuan University Postdoctoral Interdisciplinary Innovation Fund(Grant No.0020104153010);the Fundamental Research Funds for the Central Universities(Grant No.20826041E4168)。; The Morales-Ramis theory provides an effective and powerful non-integrability criterion for complex analytic Hamiltonian systems via the differential Galoisian obstruction.In this paper,we give a new Morales-Ramis typ...; 关键词：Morales-Ramis theory Jacobi integrability differential Galois groups Karabut systems

Local stable and unstable sets for positive entropy C;dynamical systems: 《Science China Mathematics》2022年第1期63-80,共18页Shilin Feng Rui Gao Wen Huang Zeng Lian; supported by National Natural Science Foundation of China(Grant No.11701394);supported by National Natural Science Foundation of China(Grant Nos.11971455 and 11731003);supported by National Natural Science Foundation of China(Grant Nos.11671279 and 11541003)。; For any C;diffeomorphism on a smooth compact Riemannian manifold that admits an ergodic measure with positive entropy,a lower bound of the Hausdorff dimension for the local stable and unstable sets is given in terms o...; 关键词：local(un)stable set Hausdorff dimension measure-theoretic entropy maximal Lyapunov exponent

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

Hierarchical structure of attractors of dynamical systems被引量：2: 《Science China Mathematics》1998年第11期1128-1134,共7页李玉林钱敏平; ProjectsupportedbytheNationalNaturalScienceFoundationofChinaandtheDoctoralProgramFoundationofIHE 86 3Program China; Some basic properties of the small random perturbed dynamical system of Freidlin\|Wentzell type are elicited. A hierarchy structure of attractors is constructed and some further properties of this structure are confir...; 关键词：STRONG MARKOV PROPERTY ATTRACTORS cycles LARGE time behavior.

The approximate weak inertial manifolds of a class of nonlinear hyperbolic dynamical systems: 《Science China Mathematics》1996年第7期694-708,共15页赵怡; National Natural Science Foundation of China;Foundation of Zhongshan University;Zhongshan University Advanced Research Centre.; Some concepts about approximate and semi-approximate weak inertial manifolds are introduced and the existence of global attractor and semi-approximate weak inertial manifolds is obtained for a class of nonlinear hyper...; 关键词：HYPERBOLIC dynamical systems APPROXIMATE WEAK INERTIAL manifolds.

Near periodicity in dynamical systems: 《Science China Mathematics》1995年第7期769-776,共8页陈文成; The notion of near periodicity is shown to be equivalent to that of weak near periodicity in dynamical systems. A sufficient condition for the positive near periodicity of a point in dynamical systems is given. The st...; 关键词：dynamical system POSITIVE NEAR PERIODICITY POSITIVE LIMIT SET POSITIVE prolongational LIMIT SET stability.

The Inertial Manifolds of Infinite-dimensional Dynamical Systems Governed by a Class of Nonlinear Parabolic Variational Inequalities: 《Science China Mathematics》1994年第10期1153-1171,共19页赵怡; Project partly supported by the National Natural Science Foundation of China and The Foundation of Zhongshan University Advanced Research Centre and Earmaked Grant CUHK 25/91.; The sufficient conditions for the existence of inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities are obtained via Yosida approximating met...; 关键词：INERTIAL MANIFOLDS DYNAMICAL systems.

Generating Functions for Volume-preserving Mappings and Hamilton-Jacobi Equations for Source-free Dynamical Systems被引量：1: 《Science China Mathematics》1994年第10期1172-1188,共17页尚在久; Project supported by State Commission of Science and Technology and National Postdoctoral Foundation of China.; The general generating function theory for volume-preserving mappings and Hamilton-Jacobi theory for source-free systems are developed.; 关键词：volume-preserving MAPPINGS GENERATING functions source-free systems HAMILTON-JACOBI equations.

NOETHER’S THEOREM AND ITS INVERSE OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS被引量：17: 《Science China Mathematics》1991年第4期419-429,共11页刘端; Project supported by the National Natural Science Foundation of China.; Noether’s theorem and its inverse of nonconservative systems subject to first-ordernonlinear nonholonomic constraints are obtained by introducing the generalized quasi-symmetry of the infinitesimal transformation of ...; 关键词：CONSERVATION law SYMMETRY NONHOLONOMIC constraint Noether’s theorem.

DYNAMICAL_SYSTEMS