SCOPUS 정보 검색 플랫폼 - 논문 보기

메뉴 건너뛰기

Physical Review A

Volumn 38, Issue 3, 1988, Pages 1649-1652

Noise reduction in dynamical systems

(2) Kostelich, Eric J a Yorke, James A b

a UNIVERSITY OF TEXAS AT AUSTIN (United States)

b UNIVERSITY OF MARYLAND (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000621736 PISSN: 10502947 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevA.38.1649 Document Type: Article

Times cited : (156)

References (26)

1
- 84931490547
- For instance, see R. G. Gallager, Information Theory and Reliable Communication (Wiley, New York 1968).

2
- 84931490546
- For instance, see Sixth International Conference on Noise in, edited by, P.H.E. Meijer, R. D. Mountain, R. J. Soulen, U.S. GPO, Washington, D.C., and similar volumes.
- (1981) Physical Systems

3
- 84931490553
- For instance, see D. R. Brillinger, Time Series: Data Analysis and Theory, (Holden-Day, San Francisco, 1980); M. Priestly, Spectral Analysis and Time Series (Academic, London, 1981), two volumes.

4
- 0018515437
- (1979) J. Fluid Mech. , vol.94 , pp. 103
- Fenstermacher, P.R.¹ Swinney, H.L.² Gollub, J.P.³

5
- 0020250384
- (1982) J. Fluid Mech. , vol.125 , pp. 219
- Behringer, R.P.¹ Ahlers, G.²

6
- 0001750017
- (1978) Phys. Rev. Lett. , vol.40 , pp. 712
- Ahlers, G.¹ Behringer, R.P.²

7
- 0002179740
- (1983) Physica D , vol.7 , pp. 73
- Libchaber, A.¹ Fauve, S.² Laroche, C.³

8
- 84931490552
- Examples of the use of this method for the analysis of experimental data are given in Dimensions and Entropies in Chaotic Systems, edited by G. Mayer-Kress (Springer-Verlag, Berlin, 1986).

9
- 84938440015
- Prentice-Hall, Englewood Cliffs, N.J.
- (1975) Theory and Application of Digital Signal Processing
- Rabiner, L.R.¹ Gold, B.²

10
- 0003507691
- Ginn, Waltham, Mass.
- (1969) Applied Optimal Control
- Bryson, A.E.¹ Ho, Y.C.²

11
- 84975607677
- C. K.
- (1985) J. Opt. Soc. Am. B , vol.2 , pp. 552
- Hammel, S.M.¹ Jones, R.T.² Moloney, J.V.³

12
- 22244456151
- Strange attractors in weakly turbulent Couette-Taylor flow
- (1987) Physical Review A , vol.35 , pp. 2207
- Brandstäter, A.¹ Swinney, H.L.²

13
- 0000254113
- (1985) Rev. Mod. Phys. , vol.54 , pp. 617
- Eckmann, J.-P.¹ Ruelle, D.²

14
- 6444240297
- (1986) Phys. Rev. A , vol.34 , pp. 4971
- Eckmann, J.-P.¹ Kamphorst, S.O.² Ruelle, D.³ Ciliberto, S.⁴

15
- 0001394076
- (1985) Phys. Rev. Lett. , vol.55 , pp. 1082
- Sano, M.¹ Sawada, Y.²

16
- 34249982739
- (1987) Phys. Rev. Lett. , vol.59 , pp. 845
- Farmer, J.D.¹ Sidorowich, J.J.²

17
- 0003555195
- Society of Industrial and Applied Mathematics, Philadelphia
- (1979) LINPACK User's Guide
- Dongarra, J.J.¹ Moler, C.B.² Bunch, J.R.³ Stewart, G.W.⁴

18
- 0000265322
- On the Method of Least-Squares
- (1980) The Astronomical Journal , vol.85 , pp. 177
- Jefferys, W.H.¹

19
- 0000018239
- On the Method of Least Squares - Part Two
- (1981) The Astronomical Journal , vol.86 , pp. 149
- Jefferys, W.H.¹

20
- 0007950811
- Griffin, London
- (1961) The Advanced Theory of Statistics , vol.2 , pp. 375
- Kendall, M.G.¹ Stuart, A.²

21
- 84931490551
- Because the input is a scalar time series, we constrain the trajectory adjustment to yield a scalar time as output. For instance, if x1= ( ξi, ξ2) consists of the first two values in the time series, then the output begins with values ξ hat1, ξ hat2,ξ hat3 such that x hat1= ( ξ hat1, ξ hat2) , x hat2= ( ξ hat2, ξ hat3).

22
- 84931490550
- To save CPU time, a maximum of 200 points is used to compute the linear maps. Despite these constraints, it is never necessary to compute a one-dimensional map approximation for this attractor as described in the text.

23
- 0002591468
- (1976) Commun. Math. Phys. , vol.50 , pp. 69
- Hénon, M.¹

24
- 84931490766
- When the program is run on noiseless input, the mean error in the output is 0.025% of the attractor extent, which suggests that errors arising from small nonlinearities are negligible when the input contains enough points.

25
- 84931490765
- In the noise reduction procedure, the attractor is reconstructed in four dimensions from a time series containing 32768 values. Linear maps are computed using at least 50 points in each ball. Trajectories are fitted using windows of 24 attractor points which overlap by 6 points.

26
- 40749093037
- (1983) Physica D , vol.9 , pp. 189
- Grassberger, P.¹ Procaccia, I.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.