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作品数:3141被引量:4032H指数:24
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相关作者:丁铲仇旭升于圣青孙英杰陈鸿军更多>>
相关机构:中国农业科学院上海兽医研究所中国人民大学陕西师范大学扬州大学更多>>
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Chaotic characteristics for a class of hydro-pneumatic near-zero frequency vibration isolators under dry friction and noise excitation
《Applied Mathematics and Mechanics(English Edition)》2025年第4期647-662,共16页Zhouchao WEI Yuxi LI T.KAPITANIAK Wei ZHANG 
Project supported by the National Natural Science Foundation of China(Nos.12172340 and12411530068);the Shenzhen Science and Technology Program(No.JCYJ20240813114012016);the High-Level Talent Introduction Plan of Guangzhou City;the Fundamental Research Funds for the Central Universities-China University of Geosciences(Wuhan)(No.G1323524005);the Young Top-Notch Talent Cultivation Program of Hubei Province。
Hydro-pneumatic near-zero frequency(NZF)vibration isolators have better performance at isolating vibration with low frequencies and heavy loadings when the nonlinear fluidic damping is introduced and the pressurized g...
关键词:CHAOS vibration isolator Melnikov method noise excitation 
Bifurcation characteristics analysis of a class of nonlinear dynamical systems based on singularity theory
《Applied Mathematics and Mechanics(English Edition)》2017年第9期1233-1246,共14页Kuan LU Yushu CHEN Lei HOU 
supported by the National Basic Research Program of China(973 Program)(No.2015CB057400);the National Natural Science Foundation of China(No.11602070);the China Postdoctoral Science Foundation(No.2016M590277)
A method for seeking main bifurcation parameters of a class of nonlinear dynamical systems is proposed. The method is based on the effects of parametric varia- tion of dynamical systems on eigenvalues of the Frechet m...
关键词:BIFURCATION SINGULARITY engineering unfolding (EU) universal unfolding(UU) nonlinear dynamics 
Constrained Hamilton variational principle for shallow water problems and Zu-class symplectic algorithm被引量:2
《Applied Mathematics and Mechanics(English Edition)》2016年第1期1-14,共14页Feng WU Wanxie ZHONG 
Project supported by the National Natural Science Foundation of China(No.11472067)
In this paper, the shallow water problem is discussed. By treating the incompressible condition as the constraint, a constrained Hamilton variational principle is presented for the shallow water problem. Based on the ...
关键词:shallow water equation (SWE) constrained Hamilton variational principle Zu-class method 
Step-like contrast structure for class of nonlinear singularly perturbed optimal control problem
《Applied Mathematics and Mechanics(English Edition)》2013年第7期875-888,共14页武利猛 倪明康 陆海波 
supported by the National Natural Science Foundation of China (Nos. 11071075 and 11171113);the E-Institute of Shanghai Municipal Education Commission (No. E03004);the Knowledge Innovation Program of the Chinese Academy of Sciences (Nos. 30921064 and 90820307)
The step-like contrast structure for a class of nonlinear singularly perturbed optimal control problems is considered. The existence of the step-like contrast structure for the singularly perturbed optimal control pro...
关键词:optimal control contrast structure singular perturbation 
A class of boundary value problems for third-order differential equation with a turning point
《Applied Mathematics and Mechanics(English Edition)》2010年第8期1027-1032,共6页莫嘉琪 温朝晖 
Project supported by the National Natural Science Foundation of China (No. 40876010);the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (No. KZCX2-YW-Q03-08);the Research and Development Special Fund for Public Welfare Industry (meteorol-ogy) (No. GYHY200806010);the LASG State Key Laboratory Special Fund;the Foundation of E-Institutes of Shanghai Municipal Education Commission (No. E03004);the Natural Science Foundation of Zhejiang Province (No. Y6090164)
A class of boundary value problems for a third-order differential equation with a turning point is considered. Using the method of multiple scales and others, the uniformly valid asymptotic expansion of solution for t...
关键词:turning point multiple scales boundary value problem 
General solutions to a class of time fractional partial differential equations被引量:1
《Applied Mathematics and Mechanics(English Edition)》2010年第7期815-826,共12页黄凤辉 郭柏灵 
supported by the Fundamental Research Funds for the Central Universities, South China University of Technology (No.2009ZM0050);the Research Foundation for the Doctoral Program of Higher Education of China (No. 20070561040);the Natural Science Foundation of Guangdong Province of China (No.07300823)
A class of time fractional partial differential equations is considered, which in- cludes a time fractional diffusion equation, a time fractional reaction-diffusion equation, a time fractional advection-diffusion equa...
关键词:fractional differential equation Caputo fractional derivative Green function Laplace transform Fourier transform sine (cosine) transform 
A class of singular perturbation solutions to semilinear equations of fourth order
《Applied Mathematics and Mechanics(English Edition)》2009年第11期1455-1460,共6页莫嘉琪 
supported by the National Natural Science Foundation of China (Nos.40676016 and 40876010);the Knowledge Innovation Program of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);the LASG State Key Laboratory Special Fund,and the E-Institute of Shanghai Municipal Education Commission (No.E03004)
A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existe...
关键词:NONLINEAR two parameters singular perturbation lower and upper solutions 
Solvability of a class of second-order quasilinear boundary value problems
《Applied Mathematics and Mechanics(English Edition)》2009年第8期1055-1062,共8页姚庆六 
The second-order quasilinear boundary value problems are considered when the nonlinear term is singular and the limit growth function at the infinite exists. With the introduction of the height function of the nonline...
关键词:quasilinear ordinary differential equation two-point boundary value problem SOLVABILITY Lebesgue dominated convergence theorem 
Finite-time stability with respect to a closed invariant set for a class of discontinuous systems被引量:3
《Applied Mathematics and Mechanics(English Edition)》2009年第8期1069-1075,共7页程桂芳 慕小武 
supported by the Mathematical Tianyuan Foundation (No. 10826078);the National Natural Science Foundation of China (No. 60874006)
This paper discusses the problem of finite-time stability with respect to a closed, but not necessarily compact, invariant set for a class of nonlinear systems with discontinuous right-hand sides in the sense of the F...
关键词:Filippov solution closed invariant set finite-time stability discontinuous system 
Blow-up rate and profile for a class of quasilinear parabolic system
《Applied Mathematics and Mechanics(English Edition)》2009年第7期865-874,共10页陈玉娟 朱月萍 
supported by the National Natural Science Foundation of China (No.10671210);the Foundation of Jiangsu Education Commission (No.07KJD110166);the Postdoctoral Research Foundation of Jiangsu Province (No.0702004C);the Project of Nantong University (Nos.06Z011,08B02)
This paper deals with positive solutions to a class of nonlocal and degenerate quasilinear parabolic system with null Dirichlet boundary conditions. The blow-up rate and blow-up profile are gained if the parameters an...
关键词:degenerate parabolic system nonlocal sources blow-up rate blow-up profile 
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