在数学中,特别是在动态系统理论里,一个二维平面或二维流形上的的极限环是相空间里的一个闭合的轨迹。 若系统在其极限环Γ外侧(内侧)足够小邻域内的轨线均以Γ为Ω极限集,则称Γ为外(内)稳定极限环。
给出了系统分别存在稳定极限环和不稳定极限环的条件。
The conditions were given to ensure the system has stable limit cycle and unstable limit cycle, respectively.
风洞吹风中测出了单稳定极限环、双稳定极限环颤振的情况。
Both single and double stable limit cycle flutter states are found.
从理论及实验两方面,研究了带外挂后掠机翼的极限环颤振分叉现象,得到了稳定、半稳定及不稳定极限环。
Both theoretical and experimental analyses are performed to investigate the limit cycle flutter bifurcation of a sweepback wing with an external store in the tip of the wing.
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