NONLINEAR FORECASTING AS A WAY OF DISTINGUISHING CHAOS FROM MEASUREMENT ERROR IN TIME-SERIES

被引:1456
作者
SUGIHARA, G [1 ]
MAY, RM [1 ]
机构
[1] UNIV OXFORD, DEPT ZOOL, OXFORD OX1 3PS, ENGLAND
关键词
D O I
10.1038/344734a0
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
An approach is presented for making short-term predictions about the trajectories of chaotic dynamical systems. The method is applied to data on measles, chickenpox, and marine phytoplankton populations, to show how apparent noise associated with deterministic chaos can be distinguished from sampling error and other sources of externally induced environmental noise. © 1990 Nature Publishing Group.
引用
收藏
页码:734 / 741
页数:8
相关论文
共 29 条
[1]   PREDICTION IN CHAOTIC NONLINEAR-SYSTEMS - METHODS FOR TIME-SERIES WITH BROAD-BAND FOURIER SPECTRA [J].
ABARBANEL, HDI ;
BROWN, R ;
KADTKE, JB .
PHYSICAL REVIEW A, 1990, 41 (04) :1782-1807
[2]   OSCILLATORY FLUCTUATIONS IN THE INCIDENCE OF INFECTIOUS-DISEASE AND THE IMPACT OF VACCINATION - TIME-SERIES ANALYSIS [J].
ANDERSON, RM ;
GRENFELL, BT ;
MAY, RM .
JOURNAL OF HYGIENE, 1984, 93 (03) :587-608
[3]   VACCINATION AND HERD-IMMUNITY TO INFECTIOUS-DISEASES [J].
ANDERSON, RM ;
MAY, RM .
NATURE, 1985, 318 (6044) :323-329
[4]   NONLINEAR PREDICTION OF CHAOTIC TIME-SERIES [J].
CASDAGLI, M .
PHYSICA D, 1989, 35 (03) :335-356
[5]  
Crutchfield J. P., 1987, Complex Systems, V1, P417
[6]  
DREPPER FR, 1988, ERODYNAMICS
[7]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[8]   PREDICTING CHAOTIC TIME-SERIES [J].
FARMER, JD ;
SIDOROWICH, JJ .
PHYSICAL REVIEW LETTERS, 1987, 59 (08) :845-848
[9]  
FARMER JD, 1989, EVOLUTION LEARNING C
[10]   CHARACTERIZATION OF STRANGE ATTRACTORS [J].
GRASSBERGER, P ;
PROCACCIA, I .
PHYSICAL REVIEW LETTERS, 1983, 50 (05) :346-349