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单词 period doubling
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period doubling
period doubling n. (in chaos theory) a doubling of a period in a system exhibiting cyclic behaviour, following an incremental change of a system parameter (an indefinite sequence of such doublings marking the onset of chaotic behaviour).
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1980 SIAM Jrnl. Appl. Math. 38 407 As δ is increased further, we see a succession of such period-doublings, but they become increasingly difficult to detect.
1988 J. Gleick Chaos (U.K. ed.) 175 With the first period-doubling, the attractor splits in two, like a dividing cell.
1996 Sci. Amer. Mar. 25/1 The helium cell had revealed the first route to chaos, now designated the ‘period-doubling cascade’.
2001 New Scientist 24 Feb. 37/1 This period doubling continues until every eighth drop is the same, then every sixteenth, and before long only every infinitieth drop is the same—and that's chaos.
extracted from periodn.adj.adv.
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