On noise reduction methods for chaotic data

作者: Peter Grassberger , Rainer Hegger , Holger Kantz , Carsten Schaffrath , Thomas Schreiber

DOI: 10.1063/1.165979

关键词:

摘要: … that deterministically chaotic (and dissipative) motion takes place on … single time series available, without any prior estimate of the spectrum, and we want to apply Fourier-Wiener filtering…

参考文章(21)
O.E. Rössler, An equation for continuous chaos Physics Letters A. ,vol. 57, pp. 397- 398 ,(1976) , 10.1016/0375-9601(76)90101-8
Eric J. Kostelich, James A. Yorke, Noise reduction in dynamical systems Physical Review A. ,vol. 38, pp. 1649- 1652 ,(1988) , 10.1103/PHYSREVA.38.1649
Rainer Hegger, Thomas Schreiber, A noise reduction method for multivariate time series Physics Letters A. ,vol. 170, pp. 305- 310 ,(1992) , 10.1016/0375-9601(92)90259-O
Stephen M. Hammel, A noise reduction method for chaotic systems Physics Letters A. ,vol. 148, pp. 421- 428 ,(1990) , 10.1016/0375-9601(90)90493-8
Robert Cawley, Guan-Hsong Hsu, Local-geometric-projection method for noise reduction in chaotic maps and flows. Physical Review A. ,vol. 46, pp. 3057- 3082 ,(1992) , 10.1103/PHYSREVA.46.3057
PETER GRASSBERGER, THOMAS SCHREIBER, CARSTEN SCHAFFRATH, NONLINEAR TIME SEQUENCE ANALYSIS International Journal of Bifurcation and Chaos. ,vol. 01, pp. 521- 547 ,(1991) , 10.1142/S0218127491000403
R. Badii, G. Broggi, B. Derighetti, M. Ravani, S. Ciliberto, A. Politi, M. A. Rubio, Dimension increase in filtered chaotic signals. Physical Review Letters. ,vol. 60, pp. 979- 982 ,(1988) , 10.1103/PHYSREVLETT.60.979
Peter Grassberger, Holger Kantz, Generating partitions for the dissipative Hénon map Physics Letters A. ,vol. 113, pp. 235- 238 ,(1985) , 10.1016/0375-9601(85)90016-7