-
2
-
-
34249988665
-
Extracting qualitative dynamics from experimental data
-
Broomhead, D., and G. King, 1986: Extracting qualitative dynamics from experimental data. Physica D, 20, 217-236.
-
(1986)
Physica D
, vol.20
, pp. 217-236
-
-
Broomhead, D.1
King, G.2
-
3
-
-
0040419007
-
Comment on Singular-value decomposition and embedding dimension
-
Broomhead, D., R. Jones, and G. King, 1988: Comment on "Singular-value decomposition and embedding dimension." Phys. Rev., 37, 5004-5005.
-
(1988)
Phys. Rev
, vol.37
, pp. 5004-5005
-
-
Broomhead, D.1
Jones, R.2
King, G.3
-
4
-
-
0028880106
-
On the attractors of an intermediate coupled ocean-atmosphere model
-
Dijkstra, H., and J. Neelin, 1995: On the attractors of an intermediate coupled ocean-atmosphere model. Dyn. Atmos. Oceans, 22, 19-48.
-
(1995)
Dyn. Atmos. Oceans
, vol.22
, pp. 19-48
-
-
Dijkstra, H.1
Neelin, J.2
-
5
-
-
44449178720
-
A hidden Markov model perspective on regimes and metastability in atmospheric flows
-
Franzke, C., D. Crommelin. A. Fischer, and A. Majda, 2008: A hidden Markov model perspective on regimes and metastability in atmospheric flows. J. Climate, 21, 1740-1757.
-
(2008)
J. Climate
, vol.21
, pp. 1740-1757
-
-
Franzke, C.1
Crommelin, D.2
Fischer, A.3
Majda, A.4
-
6
-
-
22444455689
-
Topological analysis of chaotic dynamical systems
-
Gilmore, R,, 1998: Topological analysis of chaotic dynamical systems. Rev. Mod. Phys., 70, 1455-1529.
-
(1998)
Rev. Mod. Phys
, vol.70
, pp. 1455-1529
-
-
Gilmore, R.1
-
7
-
-
33748310861
-
Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics
-
doi:10.1063/1,2245207
-
Guo, B., and D. Huang, 2006: Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics. J. Math. Phys. 47, 083508, doi:10.1063/1,2245207.
-
(2006)
J. Math. Phys
, vol.47
, pp. 083508
-
-
Guo, B.1
Huang, D.2
-
8
-
-
0001342006
-
A new approach to the economic analysis of nonstationary time series and the business cycle
-
Hamilton, J., 1989: A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica, 57, 357-384.
-
(1989)
Econometrica
, vol.57
, pp. 357-384
-
-
Hamilton, J.1
-
9
-
-
34247380700
-
-
Horenko, I., E. Dittmer, A. Fischer, and C. Schütte, 2006a: Automated model reduction for complex systems exhibiting metastability. SIAM Multiscale Model. Simul., 5, 802-827.
-
Horenko, I., E. Dittmer, A. Fischer,, and C. Schütte, 2006a: Automated model reduction for complex systems exhibiting metastability. SIAM Multiscale Model. Simul., 5, 802-827.
-
-
-
-
10
-
-
33750306323
-
Set-oriented dimension reduction: Localizing principal component analysis via hidden Markov models
-
Computational Life Sciences II: CompLife 2006, M. Berthold, R. Glen, and I. Fischer, Eds, Springer
-
Horenko, I., J. Schmidt-Ehrenberg, and C. Schütte, 2006b: Set-oriented dimension reduction: Localizing principal component analysis via hidden Markov models. Computational Life Sciences II: CompLife 2006, M. Berthold, R. Glen, and I. Fischer, Eds., Lecture Notes in Bioinformatics, Vol. 4216, Springer, 98-115.
-
(2006)
Lecture Notes in Bioinformatics
, vol.4216
, pp. 98-115
-
-
Horenko, I.1
Schmidt-Ehrenberg, J.2
Schütte, C.3
-
11
-
-
55149085946
-
-
Horenko, I., J. Schmidt-Ehrenberg, R. Klein, S. Dolaptchiev, and C. Schütte, 2008: Automated generation of reduced stochastic weather models. I: Simultaneous dimension and model reduction for time series analysis. SIAM Multiscale Model. Simul., 6, 1125-1145.
-
Horenko, I., J. Schmidt-Ehrenberg, R. Klein, S. Dolaptchiev, and C. Schütte, 2008: Automated generation of reduced stochastic weather models. I: Simultaneous dimension and model reduction for time series analysis. SIAM Multiscale Model. Simul., 6, 1125-1145.
-
-
-
-
12
-
-
45849149881
-
Statistical dimension estimation in singular Spectrum analysis
-
Lisi, F., 1996: Statistical dimension estimation in singular Spectrum analysis. Stat. Methods Appl., 5, 203-209.
-
(1996)
Stat. Methods Appl
, vol.5
, pp. 203-209
-
-
Lisi, F.1
-
13
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorenz, E., 1963: Deterministic nonperiodic flow. J. Atmos. Sci., 20, 130-141.
-
(1963)
J. Atmos. Sci
, vol.20
, pp. 130-141
-
-
Lorenz, E.1
-
14
-
-
33746088430
-
An attractor embedded in the atmosphere
-
Lorenz, E., 2006: An attractor embedded in the atmosphere. Tellus, 58A, 425-429.
-
(2006)
Tellus
, vol.58 A
, pp. 425-429
-
-
Lorenz, E.1
-
15
-
-
33744791821
-
Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model
-
Majda, A., C. Franzke, A. Fischer, and D. Crommelin, 2006: Distinct metastable atmospheric regimes despite nearly Gaussian statistics: A paradigm model. Proc. Natl. Acad. Sci. USA, 103, 8309-8314.
-
(2006)
Proc. Natl. Acad. Sci. USA
, vol.103
, pp. 8309-8314
-
-
Majda, A.1
Franzke, C.2
Fischer, A.3
Crommelin, D.4
-
17
-
-
35949021230
-
Geometry from a time series
-
Packard, N., J. Crutchfield, J. Farmer, and R. Shaw, 1980: Geometry from a time series. Phys. Rev. Lett., 45, 712-716.
-
(1980)
Phys. Rev. Lett
, vol.45
, pp. 712-716
-
-
Packard, N.1
Crutchfield, J.2
Farmer, J.3
Shaw, R.4
-
18
-
-
13544266845
-
-
Schütte, C., and W. Huisinga, 2003: Biomolecular conformations can be identified as metastable sets of molecular dynamics, Special Computational Chemistry, P. G. Ciaret and C. Le Bris, Eds., 10, Handbook of Numerical Analysis, Elsevier, 699-744.
-
Schütte, C., and W. Huisinga, 2003: Biomolecular conformations can be identified as metastable sets of molecular dynamics, Special Volume: Computational Chemistry, P. G. Ciaret and C. Le Bris, Eds., Vol. 10, Handbook of Numerical Analysis, Elsevier, 699-744.
-
-
-
-
19
-
-
34250863392
-
The ERA 40 project, plan. ERA 40 Project Rep
-
ECMWF, Reading, United Kingdom, 63 pp
-
Simmons, A., and J. Gibson, 2000: The ERA 40 project, plan. ERA 40 Project Rep. Series 1, ECMWF, Reading, United Kingdom, 63 pp.
-
(2000)
Series
, vol.1
-
-
Simmons, A.1
Gibson, J.2
-
20
-
-
0000779360
-
Detecting strange attractors in turbulence
-
Dynamical Systems and Turbulence, Warwick 1980, D. Rand and L. Young, Eds, Springer
-
Takens, F., 1981: Detecting strange attractors in turbulence. Dynamical Systems and Turbulence, Warwick 1980, D. Rand and L. Young, Eds., Lecture Notes in Mathematics, Vol. 898, Springer, 366-381.
-
(1981)
Lecture Notes in Mathematics
, vol.898
, pp. 366-381
-
-
Takens, F.1
-
21
-
-
19044361940
-
Singular-spectrum analysis: A toolkit for short, noisy chaotic signals
-
Vautard, R., P. Yiou, and M. Ghil, 1992: Singular-spectrum analysis: A toolkit for short, noisy chaotic signals. Physica D, 58, 95-426.
-
(1992)
Physica D
, vol.58
, pp. 95-426
-
-
Vautard, R.1
Yiou, P.2
Ghil, M.3
-
22
-
-
0001295575
-
Differentiable manifolds
-
Whitney, H., 1936: Differentiable manifolds. Ann. Math., 37, 645-680.
-
(1936)
Ann. Math
, vol.37
, pp. 645-680
-
-
Whitney, H.1
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