Abstract
In this paper, equilibrium stability of generalized Birkhoff's autonomous system is discussed. First, equilibrium equations of generalized Birkhoff's autonomous system are set up, and then the linear approximate method and direct method of stability in equilibrium state are studied. Some results on equilibrium of generalized Birkhoff's autonomous system are obtained on the basis of Lyapunov's thorem. Last, the application of the results is illustrated with an example.
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Communicated by Zhang Hongqing
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Zhenduo, X., Erlie, L. Equilibrium stability of generalized Birkhoff's autonomous system. Appl Math Mech 20, 564–567 (1999). https://doi.org/10.1007/BF02463754
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DOI: https://doi.org/10.1007/BF02463754