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Stability for manifolds of equilibrium states of generalized Birkhoff system |
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| Authors: | Li Yan-Min and Mei Feng-Xiang |
| Institution: | Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China; Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China |
| Abstract: | Stability for the manifolds of equilibrium states of a generalized Birkhoff system is studied. A theorem for the stability of the manifolds of equilibrium states of the general autonomous system is used to the generalized Birkhoffian system and two propositions on the stability of the manifolds of equilibrium states of the system are obtained. An example is given to illustrate the application of the results. |
| Keywords: | generalized Birkhoff system manifold of equilibrium states stability |
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