Extracting qualitative dynamics from experimental data
作者： D.S. Broomhead , Gregory P. King
DOI: 10.1016/0167-2789(86)90031-X
关键词: Experimental data 、 Mathematics 、 Statistical physics 、 Dynamics (music) 、 Singular spectrum analysis 、 Theoretical computer science 、 Chaotic
摘要: … We consider the notion of qualitative information and the practicalities of extracting it from experimental data. Our approach, based on a theorem of Takens, draws on ideas from the …
harvard.edu
acm.org
elsevier.com
sci-hub.se 参考文章(19)
Floris Takens, Detecting strange attractors in turbulence Lecture Notes in Mathematics. ,vol. 898, pp. 366- 381 ,(1981) , 10.1007/BFB0091924
Josef Kittler, Pierre A. Devijver, Pattern recognition : a statistical approach Prentice/Hall International. ,(1982)
D. R. J. Chillingworth, Differential topology with a view to applications ,(1976)
R. C. Prima, Harry L. Swinney, Instabilities and transition in flow between concentric rotating cylinders Topics in Applied Physics. ,vol. 45, pp. 139- 180 ,(1981) , 10.1007/3-540-13319-4_16
P. Grassberger, I. Procaccia, Dimensions and entropies of strange attractors from a fluctuating dynamics approach Physica D: Nonlinear Phenomena. ,vol. 13, pp. 34- 54 ,(1984) , 10.1016/0167-2789(84)90269-0
N. H. Packard, J. P. Crutchfield, J. D. Farmer, R. S. Shaw, Geometry from a Time Series Physical Review Letters. ,vol. 45, pp. 712- 716 ,(1980) , 10.1103/PHYSREVLETT.45.712
J.-C. Roux, Reuben H. Simoyi, Harry L. Swinney, Observation of a strange attractor Physica D: Nonlinear Phenomena. ,vol. 8, pp. 257- 266 ,(1983) , 10.1016/0167-2789(83)90323-8
M. Bertero, P. Boccacci, E.R. Pike, Resolution in Diffraction-limited Imaging, a Singular Value Analysis Journal of Modern Optics. ,vol. 29, pp. 1599- 1611 ,(1982) , 10.1080/713820807
G Rowlands, An approximate analytic solution of the Lorenz equations Journal of Physics A. ,vol. 16, pp. 585- 590 ,(1983) , 10.1088/0305-4470/16/3/017
Jacob Palis, Welington de Melo, A. K. Manning, Geometric Theory of Dynamical Systems : An Introduction ,(1982)