-
1
-
-
0002615297
-
Determination of attractor dimension of various flows
-
Atten, P., Caputo, J. G., Malraison, B. & Gagne, Y. 1984 Determination of attractor dimension of various flows. J. Mech. Theor. Appl. Numero Spec., pp. 133-156.
-
(1984)
J. Mech. Theor. Appl. Numero Spec.
, pp. 133-156
-
-
Atten, P.1
Caputo, J.G.2
Malraison, B.3
Gagne, Y.4
-
2
-
-
0001463465
-
Statistical description of chaotic attractors: The dimension function
-
Badii, R. & Politi, A. 1985 Statistical description of chaotic attractors: the dimension function. J. Statist. Phys. 40, 725-750.
-
(1985)
J. Statist. Phys.
, vol.40
, pp. 725-750
-
-
Badii, R.1
Politi, A.2
-
3
-
-
34249988665
-
Extracting qualitative dynamics from experimental data
-
Broomhead, D. S. & King, G. P. 1986 Extracting qualitative dynamics from experimental data. Physica D 20, 217-236.
-
(1986)
Physica D
, vol.20
, pp. 217-236
-
-
Broomhead, D.S.1
King, G.P.2
-
4
-
-
0000416890
-
Topological dimension and local coordinates from time series data
-
Broomhead, D. S., Jones, R. & King, G. P. 1987 Topological dimension and local coordinates from time series data. J. Phys. A 20, L563-L569.
-
(1987)
J. Phys. A
, vol.20
-
-
Broomhead, D.S.1
Jones, R.2
King, G.P.3
-
5
-
-
0000572613
-
Local adaptive Galerkin bases for large-dimensional dynamical systems
-
Broomhead, D. S., Indik, R., Newell, R. C. & Rand, D. A. 1991 Local adaptive Galerkin bases for large-dimensional dynamical systems. Nonlinearity 4, 159-197.
-
(1991)
Nonlinearity
, vol.4
, pp. 159-197
-
-
Broomhead, D.S.1
Indik, R.2
Newell, R.C.3
Rand, D.A.4
-
6
-
-
0002652635
-
Attractors representing turbulent flow
-
Constantin, P., Fois, C. & Témam, R. 1985 Attractors representing turbulent flow. Mem. Am. Math. Soc. 53, 314.
-
(1985)
Mem. Am. Math. Soc.
, vol.53
, pp. 314
-
-
Constantin, P.1
Fois, C.2
Témam, R.3
-
9
-
-
44049117207
-
Fundamental limitations for estimating dimensions and lyapunov exponents in dynamical systems
-
Eckmann, J. P. & Ruelle, D. 1992 Fundamental limitations for estimating dimensions and lyapunov exponents in dynamical systems. Physica D 56, 185-187.
-
(1992)
Physica D
, vol.56
, pp. 185-187
-
-
Eckmann, J.P.1
Ruelle, D.2
-
10
-
-
0000263117
-
Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
-
Foias, C. & Témam, R. 1979 Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations. J. Math. Pure Appl. 58, 339-368.
-
(1979)
J. Math. Pure Appl.
, vol.58
, pp. 339-368
-
-
Foias, C.1
Témam, R.2
-
11
-
-
0001267036
-
Estimating the dimensions of weather and climate attractors
-
Fraedrich, K. 1986 Estimating the dimensions of weather and climate attractors. J. Atmos. Sci. 43, 419-432.
-
(1986)
J. Atmos. Sci.
, vol.43
, pp. 419-432
-
-
Fraedrich, K.1
-
12
-
-
34548696055
-
Independent coordinates for strange attractors from mutual information
-
Fraser, A. M. & Swinney, H. L. 1986 Independent coordinates for strange attractors from mutual information. Phys. Rev. A 33, 1134-1140.
-
(1986)
Phys. Rev. A
, vol.33
, pp. 1134-1140
-
-
Fraser, A.M.1
Swinney, H.L.2
-
13
-
-
0022855557
-
Do climatic attractors exist?
-
Grassberger, P. 1986 Do climatic attractors exist? Nature 323, 609-612.
-
(1986)
Nature
, vol.323
, pp. 609-612
-
-
Grassberger, P.1
-
14
-
-
33646981873
-
Characterization of strange attractors
-
Grassberger, P. & Procaccia, I. 1983 Characterization of strange attractors. Phy. Rev. Lett. 50, 346-350.
-
(1983)
Phy. Rev. Lett.
, vol.50
, pp. 346-350
-
-
Grassberger, P.1
Procaccia, I.2
-
15
-
-
36448999076
-
On noise reduction methods for chaotic data
-
Grassberger, P., Hegger, R., Kantz, H., Schaffrath, C. & Schreiber, T. 1993 On noise reduction methods for chaotic data. Chaos 3(2), 127-141.
-
(1993)
Chaos
, vol.3
, Issue.2
, pp. 127-141
-
-
Grassberger, P.1
Hegger, R.2
Kantz, H.3
Schaffrath, C.4
Schreiber, T.5
-
16
-
-
38149146414
-
Identifying finite dimensional behavior from broadband spectra
-
Healey, J. J. 1994 Identifying finite dimensional behavior from broadband spectra. Phys. Lett. A 187, 59-66.
-
(1994)
Phys. Lett. A
, vol.187
, pp. 59-66
-
-
Healey, J.J.1
-
17
-
-
0346372923
-
The infinite number of generalized dimensions of fractals and strange attractors
-
Hentschel, H. G. E. & Procaccia, I. 1983 The infinite number of generalized dimensions of fractals and strange attractors. Physica D 8, 435-444.
-
(1983)
Physica D
, vol.8
, pp. 435-444
-
-
Hentschel, H.G.E.1
Procaccia, I.2
-
18
-
-
84967728280
-
Prevalence: A translation-invariant 'almost every' on infinite dimensional spaces
-
Hunt, B. R., Sauer, T. & Yorke, J. A. 1993 Prevalence: a translation-invariant 'almost every' on infinite dimensional spaces. Bull. Am. Math. Soc. (N.S.) 27, 217-224.
-
(1993)
Bull. Am. Math. Soc. (N.S.)
, vol.27
, pp. 217-224
-
-
Hunt, B.R.1
Sauer, T.2
Yorke, J.A.3
-
19
-
-
0024900498
-
Global properties and local structure of the weather attractor over western europe
-
Keepenne, C. L. & Nicolis, C. 1989 Global properties and local structure of the weather attractor over western europe. J. Atmos. Sci. 46, 2356-2370.
-
(1989)
J. Atmos. Sci.
, vol.46
, pp. 2356-2370
-
-
Keepenne, C.L.1
Nicolis, C.2
-
20
-
-
0001391710
-
Noise reduction in chaotic time-series data: A survey of common methods
-
Kostelich, E. J. & Schreiber, T. 1993 Noise reduction in chaotic time-series data: a survey of common methods. Phys. Rev. E48, 1752-1763.
-
(1993)
Phys. Rev.
, vol.E48
, pp. 1752-1763
-
-
Kostelich, E.J.1
Schreiber, T.2
-
21
-
-
5244331663
-
Practical considerations in estimating dimensions from a time series
-
(ed. I. Procaccia & M. Shapiro), New York: Plenum
-
Kostelich, E. J. & Swinney, H. L. 1987 Practical considerations in estimating dimensions from a time series. In Chaos and related natural phenomena (ed. I. Procaccia & M. Shapiro), pp. 141-156. New York: Plenum.
-
(1987)
Chaos and Related Natural Phenomena
, pp. 141-156
-
-
Kostelich, E.J.1
Swinney, H.L.2
-
22
-
-
17044390878
-
Noise-reduction: Finding the simplest dynamical system consistent with the data
-
Kostelich, E. J. & Yorke, J. A. 1990 Noise-reduction: finding the simplest dynamical system consistent with the data. Physica D 41, 183-196.
-
(1990)
Physica D
, vol.41
, pp. 183-196
-
-
Kostelich, E.J.1
Yorke, J.A.2
-
24
-
-
0026311728
-
Dimension of weather and climate attractors
-
Lorenz, E. N. 1991 Dimension of weather and climate attractors. Nature 353, 241-244.
-
(1991)
Nature
, vol.353
, pp. 241-244
-
-
Lorenz, E.N.1
-
26
-
-
0024830214
-
18 records by the Grassberger-Procaccia algorithm
-
18 records by the Grassberger-Procaccia algorithm. Clim. Dynam. 4, 45-55.
-
(1989)
Clim. Dynam.
, vol.4
, pp. 45-55
-
-
Maasch, K.A.1
-
27
-
-
0005750037
-
Negatively invariant sets of compact maps and an extension of a theorm of Cartwright
-
Mallet-Paret, J. 1976 Negatively invariant sets of compact maps and an extension of a theorm of Cartwright. J. Diffl Equat. 22, 331-348.
-
(1976)
J. Diffl Equat.
, vol.22
, pp. 331-348
-
-
Mallet-Paret, J.1
-
29
-
-
0021639689
-
Is there a climatic attractor?
-
Nicolis, C. & Nicolis, G. 1984 Is there a climatic attractor? Nature 311, 529-532.
-
(1984)
Nature
, vol.311
, pp. 529-532
-
-
Nicolis, C.1
Nicolis, G.2
-
30
-
-
35949021230
-
Geometry from time series
-
Packard, N., Crutchfield, J., Farmer, D. & Shaw, R. 1980 Geometry from time series. Phys. Rev. Lett. 45, 712-716.
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 712-716
-
-
Packard, N.1
Crutchfield, J.2
Farmer, D.3
Shaw, R.4
-
32
-
-
0000316477
-
Complex or just complicated?
-
Procaccia, I. 1988 Complex or just complicated? Nature 333, 489-499.
-
(1988)
Nature
, vol.333
, pp. 489-499
-
-
Procaccia, I.1
-
33
-
-
0000038026
-
Large volume limit of the distribution of characteristic exponents in turbulence
-
Ruelle, D. 1982 Large volume limit of the distribution of characteristic exponents in turbulence. Communs Math. Phys. 87, 287-302.
-
(1982)
Communs Math. Phys.
, vol.87
, pp. 287-302
-
-
Ruelle, D.1
-
34
-
-
21344485017
-
How many delay coordinates do you need?
-
Sauer, T. & Yorke, J. A. 1993 How many delay coordinates do you need? Int. J. Bifurc. Chaos 3, 737-744.
-
(1993)
Int. J. Bifurc. Chaos
, vol.3
, pp. 737-744
-
-
Sauer, T.1
Yorke, J.A.2
-
35
-
-
33751278790
-
Embedology
-
Sauer, T., Yorke, J. A. & Casdagli, M. 1991 Embedology. J. Statist. Phys. 65, 579-616.
-
(1991)
J. Statist. Phys.
, vol.65
, pp. 579-616
-
-
Sauer, T.1
Yorke, J.A.2
Casdagli, M.3
-
36
-
-
0025631802
-
Evidence of deterministic chaos in the pulse of storm rainfall
-
Sharifi, M. B., Georgakakos, K. P. & Rodriguez-Iturbe, I. 1990 Evidence of deterministic chaos in the pulse of storm rainfall. J. Atmos. Sci. 47, 888-893.
-
(1990)
J. Atmos. Sci.
, vol.47
, pp. 888-893
-
-
Sharifi, M.B.1
Georgakakos, K.P.2
Rodriguez-Iturbe, I.3
-
37
-
-
0002494976
-
Empirical eigenfunctions and low dimensional systems
-
(ed. L. Sirovich), Springer
-
Sirovich, L. 1989 Empirical eigenfunctions and low dimensional systems. In New perspectives in turbulence (ed. L. Sirovich), pp. 139-163. Springer.
-
(1989)
New Perspectives in Turbulence
, pp. 139-163
-
-
Sirovich, L.1
-
38
-
-
0000201862
-
Intrinsic limits on dimension calculations
-
Smith, L. A. 1988 Intrinsic limits on dimension calculations. Phys. Lett. A 133(6), 283-288.
-
(1988)
Phys. Lett. A
, vol.133
, Issue.6
, pp. 283-288
-
-
Smith, L.A.1
-
39
-
-
0000779360
-
Detecting strange attractors in fluid turbulence
-
(ed. D. Rand & L. S. Young), Berlin: Springer
-
Takens, F. 1981 Detecting strange attractors in fluid turbulence. In Dynamical systems and turbulence (ed. D. Rand & L. S. Young), vol. 898, pp. 366-381. Berlin: Springer.
-
(1981)
Dynamical Systems and Turbulence
, vol.898
, pp. 366-381
-
-
Takens, F.1
-
40
-
-
84975613293
-
Estimating fractal dimension
-
Theiler, J. 1990 Estimating fractal dimension. J. Opt. Soc. Am. A 7, 1055-1073.
-
(1990)
J. Opt. Soc. Am. A
, vol.7
, pp. 1055-1073
-
-
Theiler, J.1
-
41
-
-
0040875536
-
Comments on 'dimension analysis of climate data'
-
Tsonis, A. A. & Elsner, J. B. 1990 Comments on 'dimension analysis of climate data'. J. Clim. 3, 1502-1505.
-
(1990)
J. Clim.
, vol.3
, pp. 1502-1505
-
-
Tsonis, A.A.1
Elsner, J.B.2
-
42
-
-
19044365964
-
Singular spectrum analysis in nonlinear dynamics, with applictions to paleoclimatic time series
-
Vautard, R. & Ghil, M. 1989 Singular spectrum analysis in nonlinear dynamics, with applictions to paleoclimatic time series. Physica D 8, 395-424.
-
(1989)
Physica D
, vol.8
, pp. 395-424
-
-
Vautard, R.1
Ghil, M.2
-
43
-
-
0000305550
-
Determinism in a time series
-
Wayland, R., Bromley, D., Pickett, D. & Passamante, A. 1993 Determinism in a time series. Phy. Rev. Lett. 70, 580-582.
-
(1993)
Phy. Rev. Lett.
, vol.70
, pp. 580-582
-
-
Wayland, R.1
Bromley, D.2
Pickett, D.3
Passamante, A.4
-
44
-
-
0026613204
-
Estimating the fractal dimension and the predictability of the atmosphere
-
Zeng, X., Pielke, R. A. & Ekyholt, R. 1992 Estimating the fractal dimension and the predictability of the atmosphere. J. Atmos. Sci. 49, 649-659.
-
(1992)
J. Atmos. Sci.
, vol.49
, pp. 649-659
-
-
Zeng, X.1
Pielke, R.A.2
Ekyholt, R.3
|