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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>>

Transition sets of bifurcations of dynamical systems with two statevariables with constraints: 《Applied Mathematics and Mechanics(English Edition)》2012年第2期139-154,共16页李军陈予恕; supported by the National Natural Science Foundation of China (No. 10632040); Bifurcation of periodic solutions widely exists in nonlinear dynamical systems. In this paper, categories of bifurcations of systems with two state variables with different types of constraints are discussed, where so...; 关键词：BIFURCATION CONSTRAINT singularity theory nonlinear dynamics two statevariables

COEXISTING PERIODIC ORBITS IN VIBRO-IMPACTING DYNAMICAL SYSTEMS: 《Applied Mathematics and Mechanics(English Edition)》2003年第3期261-273,共13页李群宏陆启韶; theNationalNaturalScienceFoundationofChina ( 1 9990 51 0 ,1 9872 0 1 0 ) ;theDoctoralFoundationofNationalEducationalMinistryofChina ( 980 0 0 61 9); A method is presented to seek for coexisting periodic orbits which may be stable or unstable in piecewise-linear vibro-impacting systems. The conditions for coexistence of single impact periodic orbits are derived, an...; 关键词：vibro-impact system periodic orbit EXISTENCE STABILITY

NUMERICAL ANALYSIS OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION: 《Applied Mathematics and Mechanics(English Edition)》2000年第10期1123-1130,共8页田立新储志俊刘曾荣蒋勇; theNationalNaturalScienceFoundationofChina (1 96 0 1 0 2 0 ;1 9872 0 44 ) ;theYouthScienceandTechnologyFoundationofJiangsuPro; The numerical analysis of the approximate inertial manifold in,weakly damped forced KdV equation is given. The results of numerical analysis under five models is the same as that of nonlinear spectral analysis.; 关键词：periodic boundary conditions partial differential equation dynamical systems soliton/approximate inertial manifold

INERTIAL MANIFOLDS FOR NONAUTONOMOUS INFINITEDIMENSIONAL DYNAMICAL SYSTEMS: 《Applied Mathematics and Mechanics(English Edition)》1998年第7期695-704,共10页王宗信范先令朱正佑; In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is discussed Under the spectral gap condition, It is proved that there exist inertial manifolds for a class of nonautonomou...; 关键词：nonautonomous equations the spectral gap condition inertial manifold

REMARKS ON NONLINEAR GALERKIN METHOD FOR KURAMOTO-SIVASHINSKY EQUATION被引量：1: 《Applied Mathematics and Mechanics(English Edition)》1997年第10期0-0,0-0+0-0+0-0+0,共9页伍渝江; This paper is concentrated on a nonlinear Galerkin method with sm small- scale components for Kuramoto-Sivashmsky equation, in which convergence results and the analysis of error estimates are given, The conclusion sh...; 关键词：nonlinear Galerkin method Kuramoto-Sivashinsky equation infinite dimensional dynamical systems

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS (Ⅱ)──PART 2: 《Applied Mathematics and Mechanics(English Edition)》1997年第5期421-440,共20页廖山涛; In the part 2, theorem 3.1 stut ed in part 1[15] is proved first. The proof is obtained via a way of changing variables to reduce the original system of differentialequations to a form concerning Standard systems of e...; 关键词：vector bundle dynamics nonuniform hyperbolicity ergodicity admissible perturbation pointwise boundedness

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS(Ⅱ)──PART 1: 《Applied Mathematics and Mechanics(English Edition)》1996年第9期805-818,共14页廖山涛; The study of linear and global. properties of linear dynamical systems on vector bundles appeared rather extensive already in the past.Presently we propose to study perturbations of this linear dynamics The perturbed...; 关键词：vector bundle dynamics nonuniform hyperbolicity ERGODICITY admissible perturbation pointwise boundedness

APPROXIMATE INERTIAL MANIFOLDS FOR THE SYSTEM OF THE J-J EQUATIONS: 《Applied Mathematics and Mechanics(English Edition)》1996年第4期341-349,共9页蔡日增徐振源; In this paper foe Liapunov functionals has been constructed.the decay property of the high dimensional modes of the J-J equations in the Josephson junctions is obtained,and thus the approxtmate inertial manifolds are...; 关键词：approximate inertial manifolds infinite dimensional dynamical Systems

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS(Ⅰ)被引量：2: 《Applied Mathematics and Mechanics(English Edition)》1995年第9期813-823,共11页廖山涛; This paper is a continuation of a previous one. We still emphasize the discussionon the relation between the dynamics on the base space of a rector bundle and that oneach associated bundle of frames.; 关键词：vector bundle. bundle of frames. Grassmann bundle. ergodicity.Borel partition

NOETHER’S THEORY FOR NONHOLONOMIC DYNAMICAL SYSTEMS RELATIVE TO NON-INERTIAL REFERENCE FRAME: 《Applied Mathematics and Mechanics(English Edition)》1993年第6期527-535,共9页俞慧丹张解放许友生; The new variational principle of Gauss's form of nonlinear nonholonomic nonpotential system relative to non-inertial reference frame is established by constructing generalized inertial potentials. Naether's theorem an...; 关键词：generalized potential non-inertial reference frame nonholonomic nonpotential system Gauss's variational principle Noether's theorem Noether's inverse theorem

DYNAMICAL_SYSTEMS