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mou lei fei xian xing xi tong ji fen liu xing de yan jiu duo pin gong zhen wen ding xing zhun ze de ji fen liu xing fang fa zheng ming
Author(s): Dai De-cheng
Pages: 262-
270
Year: 1981
Issue:
3
Journal: Chinese Journal of Theoretical and Applied Mechanics
Keyword: 积分流形; 非线性系统; 共振稳定性; 一致连续; 特征指数; 偏导数; 周期函数; 超曲面; 关系式; 特征根;
Abstract: Following N. N. Bogoliubov's idea [13], this paper gives for the system:(1)three sufficient conditions for the existence of stable manifold, which lies in the ε -neighbourhood of a certain point or a certain hypersurface in {x}. When this point is an isolated reasonance point of the system (i) or when this hyper surface is an isolated Teasonance hypersurface of the system (i), the theorems given here lead to the stability criterions for multi-frequence resonances in [4].
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