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《北京理工大学学报(英文版)》 1998-04
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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
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【Citations】
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1 Mei Fengxiang Department of Applied Mechanics, Beijing Institute of Technology;Inverse Problem for Dynamics of Birkhoff's System[J];;1992-04
【Co-citations】
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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
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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
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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
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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
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1 Luo Shaokai (Shangqiu Teachers College Shangqiu Henan 476000);Lie Symmetries and Conserved Quantities of Relativistic Holonomic Mechanical Systems[A];[C];2000
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