云南高校图书馆联盟文献共享服务平台- PERTURBED

PERTURBED: 作品数：357被引量：406H指数：9; 导出分析报告; 相关领域：理学更多>>; 相关作者：张祥林武忠汪志鸣鲁世平杨光红更多>>; 相关机构：安徽师范大学南开大学东北大学华东师范大学更多>>; 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国家教育部博士点基金更多>>

Quaternion methods and models of regular celestial mechanics and astrodynamics: 《Applied Mathematics and Mechanics(English Edition)》2022年第1期21-80,共60页Y.N.CHELNOKOV; Project supported by the Russian Foundation for Basic Research(No.19-01-00205)。; This paper is a review,which focuses on our work,while including an analysis of many works of other researchers in the field of quaternionic regularization.The regular quaternion models of celestial mechanics and astr...; 关键词：celestial mechanics ASTRODYNAMICS perturbed spatial two-body problem central motion REGULARIZATION Levi-Civita and Kustaanheimo-Stiefel(KS)variables Euler parameter QUATERNION

Stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise: 《Applied Mathematics and Mechanics(English Edition)》2011年第1期11-22,共12页郑言黄建华; Project supported by the National Natural Science Foundation of China(No.10926096); The current paper is devoted to the study of the stochastic stability of FitzHugh-Nagumo systems perturbed by Gaussian white noise. First, the dynamics of stochastic FitzHugh-Nagumo systems are studied. Then, the exis...; 关键词：stochastic stability FitzHugh-Nagumo systems invariant measures Gaussian white noise

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS （Ⅰ）-POINCARE MAP: 《Applied Mathematics and Mechanics(English Edition)》2005年第11期1391-1401,共11页高平郭柏灵; 中国科学院资助项目，广东省自然科学基金; The existence of Smale horseshoes for a certain discretized perturbed nonlinear Schroedinger （NLS） equations was established by using n-dimensional versions of the Conley-Moser conditions. As a result, the discretiz...; 关键词：homoclinic orbit Poincar6 map Smale horseshoes Conley-Moser condition

SMALE HORSESHOES AND CHAOS IN DISCRETIZED PERTURBED NLS SYSTEMS(Ⅰ)—POINCAR MAP: 《Applied Mathematics and Mechanics(English Edition)》2005年第11期1402-1408,共7页高平郭柏灵; ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10471046)andtheNaturalScienceFoundationofGuangdongProvinceofChina(No.04300099); The existence of Smale horseshoes for a certain discretized perturbed nonlinear Schroedinger （NLS） equations was established by using n-dimensional versions of the Conley-Moser conditions. As a result, the discretiz...; 关键词：homoclinic orbit Poincaré map Smale horseshoes Conley-Moser condition

BRUCK FORMULA FOR A PERTURBED LIPSCHITZIAN ITERATION OF LIPSCHITZ PSEUDOCONTRACTIVE MAPS: 《Applied Mathematics and Mechanics(English Edition)》2005年第11期1427-1434,共8页Krishna Kumar B. K. Sharma ZHOU Zhe-wei; The solution to evolution equations has developed an independent theory within nonlinear analysis dealing with the existence and approximation of such solution （ fixed point） of pseudocontractive operators and its v...; 关键词：pseudocontractive map perturbed Lipschitzian iteration fixed point uniformaly Gateaux differential norm

DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRDINGER SYSTEM: 《Applied Mathematics and Mechanics(English Edition)》2005年第7期823-829,共7页余沛高平郭柏灵; ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10471046); The dynamical character for a perturbed coupled nonlinear Schrodinger system with periodic boundary condition was studied. First, the dynamical character of perturbed and unperturbed systems on the invariant plane was...; 关键词：coupled nonlinear Schrodinger system dynamical character invariantmanifold

ASYMPTOTIC THEORY OF INITIAL VALUE PROBLEMS FOR NONLINEAR PERTURBED KLEIN-GORDON EQUATIONS: 《Applied Mathematics and Mechanics(English Edition)》2005年第7期907-913,共7页甘在会张健; ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10271084); The asymptotic theory of initial value problems for a class of nonlinear perturbed Klein-Gordon equations in two space dimensions is considered. Firstly, using the contraction mapping principle, combining some priori ...; 关键词：Klein-Gordon equations WELL-POSEDNESS asymptotic theory formal approximations application

NONLINEAR COMPLEX DYNAMIC PHENOMENA OF THE PERTURBED METALLIC BAR CONSIDERING DISSIPATING EFFECT: 《Applied Mathematics and Mechanics(English Edition)》2005年第2期142-149,共8页赵广慧张年梅杨桂通; theNationalNaturalScienceFoundationofChina ( 1 0 1 72 0 63 ) ;YouthSci enceFoundationofShanxiProvince;China ( 2 0 0 1 1 0 0 4); Considering Peierls-Nabarro effect, one-dimensional finite metallic bar subjected with periodic field was researched under Neumann boundary condition. Dynamics of this system was described with displacement by perturb...; 关键词：sine-Gordon system Neumann boundary condition CHAOTIC

INITIAL LAYER PHENOMENA FOR A CLASS OF SINGULAR PERTURBED NONLINEAR SYSTEM WITH SLOW VARIABLES: 《Applied Mathematics and Mechanics(English Edition)》2004年第7期836-844,共9页黄蔚章陈育森; ScientificResearchProjectofFujianProvinceEducationDepartmentofChina(JB0 0 0 40 ); The initial layer phenomena for a class of singular perturbed nonlinear system with slow variables are studied. By introducing stretchy variables with different quantity levels and constructing the correction term of ...; 关键词：singular perturbation initial layer asymptotic expansion

THE ASYMPTOTIC THEORY OF INITIAL VALUE PROBLEMS FOR SEMILINEAR PERTURBED WAVE EQUATIONS IN TWO SPACE DIMENSIONS: 《Applied Mathematics and Mechanics(English Edition)》2003年第1期82-91,共10页赖绍永胡青龙; The asymptotic theory of initial value problems for semilinear wave equations in two space dimensions was dealt with.The well_posedness and vaildity of formal approximations on a long time scale were discussed in the ...; 关键词：semilinear wave equation ASYMPTOTICS long time scale application

PERTURBED