DYNAMICAL_SYSTEM

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An improved time integration scheme based on uniform cubic B-splines and its application in structural dynamics
《Applied Mathematics and Mechanics(English Edition)》2017年第6期889-908,共20页Weibin WEN Hongshuai LEI Kai WEI Baosheng XU Shengyu DUAN Daining FANG 
Project supported by the National Natural Science Foundation of China(Nos.11602004 and11602081);the Fundamental Research Funds for the Central Universities(No.531107040934)
A time integration algorithm for structural dynamic analysis is proposed by uniform cubic B-spline functions. The proposed algorithm is successfully used to solve the dynamic response of a single degree of freedom （S...
关键词：dynamical system time integration~ stability dynamic response B-SPLINE 
Exact traveling wave solutions to 2D-generalized Benney-Luke equation
《Applied Mathematics and Mechanics(English Edition)》2008年第11期1391-1398,共8页李继彬 
the National Natural Science Foundation of China(Nos.10671179 and 10772158)
By using the dynamical system method to study the 2D-generalized Benney- Luke equation, the existence of kink wave solutions and uncountably infinite many smooth periodic wave solutions is shown. Explicit exact parame...
关键词：kink wave solution periodic wave solution unbounded wave solution nonlinear wave equation dynamical system method 
Generalized synchronization of continuous dynamical system
《Applied Mathematics and Mechanics(English Edition)》2007年第2期157-162,共6页张刚 刘曾荣 马忠军 
Project supported by the National Natural Science Foundation of China(Nos.10672093,10372054 and 70431002)
Generalized synchronization between two continuous dynamical systems is discussed. By exploring the Liapunov stability theory and constructing appropriately unidirectional coupling term, a sufficient condition for det...
关键词：generalized synchronization differentiable generalized synchronization liapunov function 
ERROR ESTIMATE FOR INFLUENCE OF MODEL REDUCTION OF NONLINEAR DISSIPATIVE AUTONOMOUS DYNAMICAL SYSTEM ON LONG-TERM BEHAVIOURS
《Applied Mathematics and Mechanics(English Edition)》2005年第7期938-943,共6页张家忠 刘雁 陈党民 
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10272089)
From viewpoint of nonlinear dynamics, the model reduction and its influence on the long-term behaviours of a class of nonlinear dissipative autonomous dynamical system with higher dimension are investigated theoretica...
关键词：nonlinear dynamical system dissipative system projection operator long-term behaviour 
EXPONENTIAL STABILITY OF INTERVAL DYNAMICAL SYSTEM WITH MULTIDELAY
《Applied Mathematics and Mechanics(English Edition)》2002年第1期95-99,共5页孙继涛 张银萍 刘永清 邓飞其 
Using the matrix measure and delay differential inequality, the sufficient conditions were obtained for exponential stability of interval dynamical system with multidelay. These conditions are an improvement and exten...
关键词：interval delay dynamical system matrix measure exponential stability 
ON THE RESONANT GENERATION OF WEAKLY NONLINEAR STOKES WAVES IN REGIONS WITH FAST VARYING TOPOGRAPHY AND FREE SURFACE CURRENT
《Applied Mathematics and Mechanics(English Edition)》2001年第6期730-740,共11页黄虎 周锡礽 
theDoctoralProgramFundofChinaEducationCommission ( 940 5 62 ) ;theChinaNationalFoundationofHighPerformanceComputer( 961 0 3 )
The effect of nonlinearity on the free surface wave resonated by an incident flow over rippled beds, which consist of fast varying topography superimposed on an otherwise slowly varying mean depth, is studied using a ...
关键词：nonlinear resonance weakly nonlinear Stokes waves a free surface current rippled beds dynamical system 
AN IMPROVEMENT AND PROOF OF OGY METHOD
《Applied Mathematics and Mechanics(English Edition)》1998年第1期1-8,共8页杨凌 刘曾荣 
OGY method is the most important method of controlling chaos. It stabilizes a hyperbolic periodic orbit by making small perturbations for a system parameter. This paper improves the method of choosing parameter, and g...
关键词：dynamical system CHAOS controlling chaos hyperbolic periodic point stable manifold unstable manifold 
THE RESEARCH OF LONGTIME DYNAMIC BEHAVIOR IN WEAKLY DAMPED FORCED KdV EQUATION
《Applied Mathematics and Mechanics(English Edition)》1997年第10期0-0,0-0+0-0+0-0,共8页徐振源 田立新 
It is presented that there exists approximate inertial manifolds in weakly damped forced Kdv equation with with periodic boundary conditionsIIbns. The approximate inertial manifolds provide approximant of the attractr...
关键词：approximate inertial manifold weakly damped forced KdV equation dynamical system ATTRACTOR 
INTEGRAL INVARIANTS OF A HOLONOMIC DYNAMICAL STSTEM
《Applied Mathematics and Mechanics(English Edition)》1994年第8期755-765,共11页Naseer Ahmed (Mathematics Department . Quaid-i-Azam University, Islamabad, Pakistan) 
This paper uses Poincare’s formalism to study . the integral invariants of aconservative holonomic dynamical system Introducing new parameters for theasynchronous variation, a generalization of the poincare and ...
关键词：analysis mechanics. holonomic dynamical system integralinvariants SYNCHRONOUS ASYNCHRONOUS 
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