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单词 limit cycle
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limit cycle
limit cycle n. [after French cycle limite (H. Poincaré 1880, in Comptes rendus hebdomadaires de l'Académie des Sciences 90 674)] Mathematics a closed path in phase space representing a limit; esp. one that is an attractor.
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the world > relative properties > number > geometry > point > [noun] > sets or groups of points
umbilic point1586
involution1847
triad1850
range1859
point group1887
tetrad1889
tristigm1889
neighbourhood1891
trinode1891
trigraphy1895
Cantor set1902
web1909
limit cycle1918
Leech lattice1968
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limit cycle1918
1918 J. B. Shaw Lect. Philos. Math. xv. 176 In general the integral curves wind around a limit cycle asymptotically.
1955 Amer. Math. Monthly 62 131 A discussion of a limit cycle of a nonlinear equation of the van der Pol type.
1986 Sci. Amer. (U.K. ed.) Dec. 42/1 Another familiar system with a limit-cycle attractor is the heart.
2011 R. Kautz Chaos xi. 264 In this case, the pendulum settles into exactly periodic motion called a limit cycle, which gives us a new kind of attractor and a different topology for the flow in state space.
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