Chen Xiangwei, Mei Fengxiang. Singular Points, Closed Orbits, Stable Manifolds and Unstable Manifolds of Second Order Autonomous Birkhoff Systems[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1998, 7(4): 330-336.
Citation:
Chen Xiangwei, Mei Fengxiang. Singular Points, Closed Orbits, Stable Manifolds and Unstable Manifolds of Second Order Autonomous Birkhoff Systems[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1998, 7(4): 330-336.
Chen Xiangwei, Mei Fengxiang. Singular Points, Closed Orbits, Stable Manifolds and Unstable Manifolds of Second Order Autonomous Birkhoff Systems[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1998, 7(4): 330-336.
Citation:
Chen Xiangwei, Mei Fengxiang. Singular Points, Closed Orbits, Stable Manifolds and Unstable Manifolds of Second Order Autonomous Birkhoff Systems[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 1998, 7(4): 330-336.
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.