单词 | limit cycle |
释义 | > as lemmaslimit 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. ΘΚΠ 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 the world > relative properties > number > geometry > point > [adjective] > groups of 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. < as lemmas |
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