Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《北京理工大学学报(英文版)》 1998-04
Add to Favorite Get Latest Update

Singular Points, Closed Orbits, Stable Manifolds and Unstable Manifolds of Second Order Autonomous Birkhoff Systems

Chen Xiangwei; Mei Fengxiang (Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081)  
Aim To study singular points, closed orbits, stable manifolds and unstable manifolds of a second order autonomous Birkhoff system. Methods Qualitative methods of ordinary differential equation were used. Results and Conclusion The criteria for singular points, closed orbits and hyperbolic equilibrium points of a second order autonomous Birkhoff system are given. Moreover the stability of equilibria, stable manifolds and unstable manifolds are obtained.
【Fund】: 国家自然科学基金;;高等学校博士学科点专项科研基金
【CateGory Index】: O316
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 1 Hits
1 Mei Fengxiang Department of Applied Mechanics, Beijing Institute of Technology;Inverse Problem for Dynamics of Birkhoff's System[J];;1992-04
Chinese Journal Full-text Database 10 Hits
1 WANG Hong xi (College of Literature and Sciences,Anhui Agricultural University, Hefei 230036);Existence of Hopf Bifurcation Periodic Solution to SIRS Epidemiological Models with Nonlinear Incidence Rates[J];Journal of Anhui Agricultural University;2002-02
2 LI Guo hui DENG Xue ying (Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics);Topological Structure Evolution and Stability of the Cross Flow Pattern Around a Slender[J];Journal of Beijing University of Aeronautics and Astronautics;2001-06
3 Li KangFang Zhenping (School of Aeronautic Science and Technology,Beijing University of Aeronautics and Astronautics,Beijing 100083,China);High angle-of-attack control law design based on global stability analysis[J];Journal of Beijing University of Aeronautics and Astronautics;2004-06
4 Li Guohui Deng Xueying Ma Yu (School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China);Structure evolution of the steady and symmetric vortex pattern around a slender[J];Journal of Beijing University of Aeronautics and Astronautics;2005-02
5 MEI Feng xiang (Department of Applied Mechanics, Beijing Institute of Technology, Beijing100081);Integral Invariant of Birkhoff System[J];JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY;2000-01
6 ZHANG Tao,LIUTu-guang,ZHAO Yao,WANG Xian-zhou (College of Traffic and Engineering,Huazhong University of Science and Technology,Wuhan430074,China);Buckling and Postbuckling of Imperfect Stiffened Plates[J];Journal of Ship Mechanics;2003-01
7 ZHANG Yi (Department of Urban Construction,University of Science and Technology of Suzhou,Suzhou Jiangsu,215011);CONNEXION OF FIRST INTEGRALS WITH PARTICULAR SOLUTION TO THE VARIATIONAL EQUATIONS FOR BIRKHOFFIAN SYSTEMS[J];Journal of Changde Teachers University;2002-02
8 CHEN Fang-fang (Department of Mathematics Liming University,Quanzhou 362000,China);The Bifurcation of the Heteroelinic Loop in a Cubic Autonomous System[J];Journal of Changshu Institute of Technology;2008-02
9 CAI Shu yun(Beihua University,Jilin City 132013);On limit Cycles of Cubic Kind of Food and Predaceous System[J];Journal of Northeast China Institute of Electric Power Engineering;2002-03
10 Fu Jingli; Chen Xiangwei; Luo Shaohai (Shangqiu Teachers Colleges);Lie Symmetries and Conserved Quantities of Lagrange─Maxwell Mechanical Systems[J];Journal of Electric Power;1998-04
China Proceedings of conference Full-text Database 4 Hits
1 Luo Shaokai (Shangqiu Teachers College Shangqiu Henan 476000);Lie Symmetries and Conserved Quantities of Relativistic Holonomic Mechanical Systems[A];[C];2000
2 Chen Xiangwei~1 Fu Jingli~1 Luo Shaokai~(1,2) (1.Shangqiu Teachers College shangqiu Henan 476000; 2.Changsha University Changsha Hunan 410003);Algebraic Limit Cycle of Some Generalized Birkhoff System[A];[C];2002
3 Ding Hao1,2 Wang Deshi1 (1、Department of Weaponry Engineering,Naval Engineering University,Wuhan,430033 2、Navy Submarine Academy,Qingdao,266000);Study on pitch sailing stability of torpedo[A];[C];2009
4 Ding Guangtao (College of Physics anf Electronic Infonnation,Anhui Nonnal University,Wuhu 241000,China);Noether Theory and Inverse Problem in Lagrangian Mechanics[A];[C];2010
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 Mei Fengxiang(Beijing Institute of Technology);BASIC METHODS OF SOLUTION FOR INVERSE PROBLEM OF NONHOLONOMIC DYNAMICS[J];Acta Mechanica Sinica;1991-02
2 Mei Fengxiang (Beijing Institute of Technology);Generalized Poisson's Condition and Inverse Problem for Non-Holonomic Dynamics[J];;1990-02
3 LI ZI-PING (Department of Physics, Xinjiang University);THE TRANSFORMATION PROPERTIES OF CONSTRAINED SYSTEM[J];Acta Physica Sinica;1981-12
4 Luo Shao-kai (Shangqiu Teachers College, Henan);Generalized Noether's Theorem of Nonholonomic Nonpotential System in Noninertial Reference Frames[J];Applied Mathematics and Mechanics;1991-09
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved