-
1
-
-
12044249591
-
The analysis of observed chaotic data in physical systems
-
Abarbanel, H. D. I. et al. [1993] "The analysis of observed chaotic data in physical systems," Rev. Mod. Phys. 65, 1331-1392.
-
(1993)
Rev. Mod. Phys.
, vol.65
, pp. 1331-1392
-
-
Abarbanel, H.D.I.1
-
3
-
-
0042075109
-
Retrieving dynamical invariants from chaotic data using NARMAX models
-
Aguirre, L. A. & Billings, S. A. [1995] "Retrieving dynamical invariants from chaotic data using NARMAX models," Int. J. Bifurcation and Chaos 5, 449-474.
-
(1995)
Int. J. Bifurcation and Chaos
, vol.5
, pp. 449-474
-
-
Aguirre, L.A.1
Billings, S.A.2
-
4
-
-
35949011725
-
Singular-value decomposition and the Grassberger-Procaccia algorithm
-
Albano, A. M. et al. [1988] "Singular-value decomposition and the Grassberger-Procaccia algorithm," Phys. Rev. A38, 3017-3026.
-
(1988)
Phys. Rev.
, vol.A38
, pp. 3017-3026
-
-
Albano, A.M.1
-
7
-
-
84986817187
-
Identifiability of dynamic errors-in-variables models
-
Anderson, B. D. O. & Deistler, M. [1984] "Identifiability of dynamic errors-in-variables models," J. Time Series Anal. 5, 1-13.
-
(1984)
J. Time Series Anal.
, vol.5
, pp. 1-13
-
-
Anderson, B.D.O.1
Deistler, M.2
-
8
-
-
0037054127
-
Pattern dynamics of vortex ripples in sand: Nonlinear modeling and experimental validation
-
Andersen, K. H. et al. [2002] "Pattern dynamics of vortex ripples in sand: Nonlinear modeling and experimental validation," Phys. Rev. Lett. 88, 234302.
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 234302
-
-
Andersen, K.H.1
-
10
-
-
0036475447
-
A tutorial on particle filters for on-line nonlinear/non-Gaussian Bayesian tracking
-
to appear
-
Arulampalam, S., Maskell, S. R., Gordon, N. J. & Clapp, T. [2002] "A tutorial on particle filters for on-line nonlinear/non-Gaussian Bayesian tracking," IEEE Trans. Sign. Process, to appear.
-
(2002)
IEEE Trans. Sign. Process
-
-
Arulampalam, S.1
Maskell, S.R.2
Gordon, N.J.3
Clapp, T.4
-
11
-
-
35949005876
-
Fitting ordinary differential equations to chaotic data
-
Baake, E., Baake, M., Bock, H. G. & Briggs, K. M. [1992] "Fitting ordinary differential equations to chaotic data," Phys. Rev. A45, 5524-5529.
-
(1992)
Phys. Rev.
, vol.A45
, pp. 5524-5529
-
-
Baake, E.1
Baake, M.2
Bock, H.G.3
Briggs, K.M.4
-
12
-
-
0001345101
-
Modeling the fast fluorescence rise of photosynthesis
-
Baake, E. & Schlöder, J. P. [1992] "Modeling the fast fluorescence rise of photosynthesis," Bull. Math. Biol. 54, 999-1021.
-
(1992)
Bull. Math. Biol.
, vol.54
, pp. 999-1021
-
-
Baake, E.1
Schlöder, J.P.2
-
17
-
-
0019660565
-
Exact finite-dimensional filters for certain diffusions with nonlinear drift
-
Beněs, V. E. [1981] "Exact finite-dimensional filters for certain diffusions with nonlinear drift," Stochastics 5, 65-92.
-
(1981)
Stochastics
, vol.5
, pp. 65-92
-
-
Beněs, V.E.1
-
18
-
-
84972534141
-
Martingale estimation functions for discretely observed diffusion processes
-
Bibby, B. M. & Sørensen, M. [1995] "Martingale estimation functions for discretely observed diffusion processes," Bernoulli 1, 17-39.
-
(1995)
Bernoulli
, vol.1
, pp. 17-39
-
-
Bibby, B.M.1
Sørensen, M.2
-
19
-
-
0001622216
-
Numerical treatment of inverse problems in chemical reaction kinetics
-
eds. Ebert, K. H., Deuflhard, P. & Jäger, W. (Springer, NY)
-
Bock, H. G. [1981] "Numerical treatment of inverse problems in chemical reaction kinetics," Modeling of Chemical Reaction Systems, eds. Ebert, K. H., Deuflhard, P. & Jäger, W., Vol. 18 (Springer, NY), pp. 102-125.
-
(1981)
Modeling of Chemical Reaction Systems
, vol.18
, pp. 102-125
-
-
Bock, H.G.1
-
20
-
-
0002321868
-
Recent advances in parameter identification for ordinary differential equations
-
eds. Deuflhard, P. & Hairer, E. (Birkhäuser, Boston)
-
Bock, H. G. [1983] "Recent advances in parameter identification for ordinary differential equations," Progress in Scientific Computing, Vol. 2, eds. Deuflhard, P. & Hairer, E. (Birkhäuser, Boston), pp. 95-121.
-
(1983)
Progress in Scientific Computing
, vol.2
, pp. 95-121
-
-
Bock, H.G.1
-
21
-
-
0001470835
-
A stable and efficient algorithm for nonlinear orthogonal distance regression
-
Boggs, P. T., Byrd, R. H. & Schnabel, R. B. [1987] "A stable and efficient algorithm for nonlinear orthogonal distance regression," SIAM J. Scient. Stat. Comput. 8, 1052-1078.
-
(1987)
SIAM J. Scient. Stat. Comput.
, vol.8
, pp. 1052-1078
-
-
Boggs, P.T.1
Byrd, R.H.2
Schnabel, R.B.3
-
22
-
-
0000095965
-
Reconstructing equations of motion from experimental data with unobserved variables
-
Breeden, J. L. & Hübler, A. [1990] "Reconstructing equations of motion from experimental data with unobserved variables," Phys. Rev. A42, 5817-5826.
-
(1990)
Phys. Rev.
, vol.A42
, pp. 5817-5826
-
-
Breeden, J.L.1
Hübler, A.2
-
23
-
-
84950771789
-
Estimating optimal transformations for multiple regression and correlation
-
Breiman, L. & Friedman, J. H. [1985] "Estimating optimal transformations for multiple regression and correlation," J. Am. Stat. Assoc. 80, 580-598.
-
(1985)
J. Am. Stat. Assoc.
, vol.80
, pp. 580-598
-
-
Breiman, L.1
Friedman, J.H.2
-
24
-
-
0035577178
-
Markov chain Monte Carlo estimation of nonlinear dynamics from time series
-
Bremer, C. L. & Kaplan, D. T. [2001] "Markov chain Monte Carlo estimation of nonlinear dynamics from time series," Physica D160, 116-126.
-
(2001)
Physica
, vol.D160
, pp. 116-126
-
-
Bremer, C.L.1
Kaplan, D.T.2
-
25
-
-
0035376974
-
Efficient noncausal noise reduction for deterministic time series
-
Bröcker, J. & Parlitz, U. [2001] "Efficient noncausal noise reduction for deterministic time series," Chaos 11, 319-326.
-
(2001)
Chaos
, vol.11
, pp. 319-326
-
-
Bröcker, J.1
Parlitz, U.2
-
27
-
-
0000341667
-
Remarks on functional canonical variates, alternating least squares methods and ACE
-
Buja, A. [1990] "Remarks on functional canonical variates, alternating least squares methods and ACE," Ann. Stat. 18, 1032-1069.
-
(1990)
Ann. Stat.
, vol.18
, pp. 1032-1069
-
-
Buja, A.1
-
28
-
-
84950445183
-
A Monte Carlo approach to nonnormal and nonlinear state space modeling
-
Carlin, B. P., Poison, N. G. & Stoffer, D. S. [1992] "A Monte Carlo approach to nonnormal and nonlinear state space modeling," J. Amer. Stat. Assoc. 87, 493-500.
-
(1992)
J. Amer. Stat. Assoc.
, vol.87
, pp. 493-500
-
-
Carlin, B.P.1
Poison, N.G.2
Stoffer, D.S.3
-
32
-
-
67349186115
-
Construction of differential equations from experimental data
-
Cremers, J. & Hübler, A. [1987] "Construction of differential equations from experimental data," Z. Naturforsch. 42a, 797-802.
-
(1987)
Z. Naturforsch.
, vol.42 A
, pp. 797-802
-
-
Cremers, J.1
Hübler, A.2
-
33
-
-
0001192821
-
Equations of motion from data series
-
Crutchfield, J. P. & McNamara, B. S. [1987] "Equations of motion from data series," Compl. Syst. 1, 417-451.
-
(1987)
Compl. Syst.
, vol.1
, pp. 417-451
-
-
Crutchfield, J.P.1
McNamara, B.S.2
-
35
-
-
0001700428
-
Estimation of the coefficients of a diffusion from discrete observations
-
Dacunha-Castelle, D. & Florens-Zmirou, D. [1986] "Estimation of the coefficients of a diffusion from discrete observations," Stochastics 19, 263-284.
-
(1986)
Stochastics
, vol.19
, pp. 263-284
-
-
Dacunha-Castelle, D.1
Florens-Zmirou, D.2
-
36
-
-
0022752210
-
Exact finite-dimensional nonlinear filters
-
Daum, F. E. [1986] "Exact finite-dimensional nonlinear filters," IEEE Trans. Automat. Contr. 31, 616-622.
-
(1986)
IEEE Trans. Automat. Contr.
, vol.31
, pp. 616-622
-
-
Daum, F.E.1
-
37
-
-
0007393459
-
Noise reduction by gradient descent
-
Davies, M. [1992] "Noise reduction by gradient descent," Int. J. Bifurcation and Chaos 3, 113-118.
-
(1992)
Int. J. Bifurcation and Chaos
, vol.3
, pp. 113-118
-
-
Davies, M.1
-
38
-
-
0008241813
-
Nonlinear noise reduction through Monte Carlo sampling
-
Davies, M. E. [1998] "Nonlinear noise reduction through Monte Carlo sampling," Chaos 8, 775-781.
-
(1998)
Chaos
, vol.8
, pp. 775-781
-
-
Davies, M.E.1
-
39
-
-
0002629270
-
Maximum likelihood from incomplete data via EM algorithm
-
Dempster, A. P., Laird, N. M. & Rubin, D. B. [1977] "Maximum likelihood from incomplete data via EM algorithm," J. Roy. Stat. Soc. B39, 1-38.
-
(1977)
J. Roy. Stat. Soc.
, vol.B39
, pp. 1-38
-
-
Dempster, A.P.1
Laird, N.M.2
Rubin, D.B.3
-
40
-
-
84972807786
-
Numerical tools for parameter estimation in ODE-systems
-
Edsberg, L. & Wedin, P. [1995] "Numerical tools for parameter estimation in ODE-systems," Opt. Meth. Softw. 6, 193-217.
-
(1995)
Opt. Meth. Softw.
, vol.6
, pp. 193-217
-
-
Edsberg, L.1
Wedin, P.2
-
41
-
-
44949279497
-
Optimal shadowing and noise reduction
-
Farmer, J. D. & Sidorowich, J. J. [1990] "Optimal shadowing and noise reduction," Physica D47, 373-392.
-
(1990)
Physica
, vol.D47
, pp. 373-392
-
-
Farmer, J.D.1
Sidorowich, J.J.2
-
42
-
-
53349102813
-
Impulses and physiological states in theoretical models of nerve membrane
-
FitzHugh, R. [1961] "Impulses and physiological states in theoretical models of nerve membrane," Biophys. J. 1, 445-466.
-
(1961)
Biophys. J.
, vol.1
, pp. 445-466
-
-
FitzHugh, R.1
-
43
-
-
0000615669
-
Function minimization by conjugate gradients
-
Fletcher, R. & Reeves, C. M. [1964] "Function minimization by conjugate gradients," Computer J. 7, 149-154.
-
(1964)
Computer J.
, vol.7
, pp. 149-154
-
-
Fletcher, R.1
Reeves, C.M.2
-
44
-
-
84881079791
-
Approximate discretetime schemes for statistics of diffusion processes
-
Florens-Zmirou, D. [1989] "Approximate discretetime schemes for statistics of diffusion processes," Statistics 4, 547-557.
-
(1989)
Statistics
, vol.4
, pp. 547-557
-
-
Florens-Zmirou, D.1
-
46
-
-
0014550620
-
The optimum linear smoother as a combination of two optimum linear filters
-
Fraser, D. C. & Potter, J. E. [1969] "The optimum linear smoother as a combination of two optimum linear filters," IEEE Trans. Automat. Contr. 7, 387-390.
-
(1969)
IEEE Trans. Automat. Contr.
, vol.7
, pp. 387-390
-
-
Fraser, D.C.1
Potter, J.E.2
-
47
-
-
84981426681
-
Data augmentation and dynamic linear models
-
Frühwirth-Schnatter, S. [1994] "Data augmentation and dynamic linear models," J. Time Series Anal. 15, 183-202.
-
(1994)
J. Time Series Anal.
, vol.15
, pp. 183-202
-
-
Frühwirth-Schnatter, S.1
-
49
-
-
84974003191
-
Das statistische Problem der Korrelation als Variations- Und Eigenwertproblem und sein Zusammenhang mit der Ausgleichsrechnung
-
Gebelein, H. [1941] "Das statistische Problem der Korrelation als Variations- und Eigenwertproblem und sein Zusammenhang mit der Ausgleichsrechnung," Zeitschrift für angew. Math. und Mech. 21, 364-379.
-
(1941)
Zeitschrift für Angew. Math. und Mech.
, vol.21
, pp. 364-379
-
-
Gebelein, H.1
-
52
-
-
84899008192
-
Learning nonlinear dynamical systems using an EM algorithm
-
eds. Kearns, M. J., Solla, S. A. & Cohn, D. A. (MIT Press)
-
Ghahramani, Z. & Roweis, S. T. [1999] "Learning nonlinear dynamical systems using an EM algorithm," Advances in Neural Information Processing Systems, Vol. 11, eds. Kearns, M. J., Solla, S. A. & Cohn, D. A. (MIT Press).
-
(1999)
Advances in Neural Information Processing Systems
, vol.11
-
-
Ghahramani, Z.1
Roweis, S.T.2
-
54
-
-
0027580559
-
Novel approach to nonlinear/non-Gaussian Bayesian state estimation
-
Gordon, N. J., Salmond, D. J. & Smith, A. F. M. [1993] "Novel approach to nonlinear/non-Gaussian Bayesian state estimation," Comm. Radar Sign. Process. 140, 107-113.
-
(1993)
Comm. Radar Sign. Process.
, vol.140
, pp. 107-113
-
-
Gordon, N.J.1
Salmond, D.J.2
Smith, A.F.M.3
-
55
-
-
0000229036
-
Reconstruction of standard and inverse vector fields equivalent to a Rössler system
-
Gouesbet, G. [1991a] "Reconstruction of standard and inverse vector fields equivalent to a Rössler system," Phys. Rev. A44, 6264-6280.
-
(1991)
Phys. Rev.
, vol.A44
, pp. 6264-6280
-
-
Gouesbet, G.1
-
56
-
-
0000130270
-
Reconstruction of the vector fields of continuous dynamical systems from scalar time series
-
Gouesbet, G. [1991b] "Reconstruction of the vector fields of continuous dynamical systems from scalar time series," Phys. Rev. A43, 5321-5331.
-
(1991)
Phys. Rev.
, vol.A43
, pp. 5321-5331
-
-
Gouesbet, G.1
-
57
-
-
0000404649
-
Reconstruction of vector fields: The case of the Lorenz system
-
Gouesbet, G. [1992] "Reconstruction of vector fields: The case of the Lorenz system," Phys. Rev. A46, 1784-1796.
-
(1992)
Phys. Rev.
, vol.A46
, pp. 1784-1796
-
-
Gouesbet, G.1
-
58
-
-
33646981873
-
Characterization of strange attractors
-
Grassberger, P. & Procaccia, I. [1983a] "Characterization of strange attractors," Phys. Rev. Lett. 50, 346-349.
-
(1983)
Phys. Rev. Lett.
, vol.50
, pp. 346-349
-
-
Grassberger, P.1
Procaccia, I.2
-
59
-
-
40749093037
-
Measuring the strangeness of strange attractors
-
Grassberger, P. & Procaccia, I. [1983b] "Measuring the strangeness of strange attractors," Physica D9, 189-208.
-
(1983)
Physica
, vol.D9
, pp. 189-208
-
-
Grassberger, P.1
Procaccia, I.2
-
60
-
-
0000454552
-
Nonlinear time sequence analysis
-
Grassberger, P., Schreiber, T. & Schaffrath, C. [1991] "Nonlinear time sequence analysis," Int. J. Bifurcation and Chaos 1, 521-547.
-
(1991)
Int. J. Bifurcation and Chaos
, vol.1
, pp. 521-547
-
-
Grassberger, P.1
Schreiber, T.2
Schaffrath, C.3
-
62
-
-
0003410290
-
-
Princeton University Press, Princeton
-
Hamilton, J. D. [1994] Time Series Analysis (Princeton University Press, Princeton).
-
(1994)
Time Series Analysis
-
-
Hamilton, J.D.1
-
63
-
-
84968480383
-
Numerical orbits of chaotic processes represent true orbits
-
Hammel, S., Grebogi, C. & Yorke, J. A. [1988] "Numerical orbits of chaotic processes represent true orbits," Bull. Amer. Math. Soc. 19, 465-470.
-
(1988)
Bull. Amer. Math. Soc.
, vol.19
, pp. 465-470
-
-
Hammel, S.1
Grebogi, C.2
Yorke, J.A.3
-
64
-
-
0001261685
-
A noise reduction method for chaotic systems
-
Hammel, S. M. [1990] "A noise reduction method for chaotic systems," Phys. Lett. A148, 421-428.
-
(1990)
Phys. Lett.
, vol.A148
, pp. 421-428
-
-
Hammel, S.M.1
-
65
-
-
84976736914
-
Two algorithms for the linearly constrained least squares problem
-
Hanson, R. J. & Haskell, K. H. [1982] "Two algorithms for the linearly constrained least squares problem," ACM Trans. Math. Softw. 8, 323-333.
-
(1982)
ACM Trans. Math. Softw.
, vol.8
, pp. 323-333
-
-
Hanson, R.J.1
Haskell, K.H.2
-
67
-
-
0003655388
-
Nonexistence of finite dimensional nonlinear filters for conditional statistics of the cubic sensor problem
-
Hazewinkel, M., Marcus, S. I. & Sussmann, H. J. [1983] "Nonexistence of finite dimensional nonlinear filters for conditional statistics of the cubic sensor problem," Syst. Cont. Lett. 3, 331-340.
-
(1983)
Syst. Cont. Lett.
, vol.3
, pp. 331-340
-
-
Hazewinkel, M.1
Marcus, S.I.2
Sussmann, H.J.3
-
68
-
-
0000472574
-
Dynamical properties of a ferroelectric capacitor observed through nonlinear time series analysis
-
Hegger, R. et al. [1998] "Dynamical properties of a ferroelectric capacitor observed through nonlinear time series analysis," Chaos 8, 727-736.
-
(1998)
Chaos
, vol.8
, pp. 727-736
-
-
Hegger, R.1
-
69
-
-
0000830305
-
Improved false nearest neighbor method to detect determinism in time series
-
Hegger, R. & Kantz, H. [1999] "Improved false nearest neighbor method to detect determinism in time series," Phys. Rev. E60, 4970-4973.
-
(1999)
Phys. Rev.
, vol.E60
, pp. 4970-4973
-
-
Hegger, R.1
Kantz, H.2
-
70
-
-
0000810560
-
Practical implementation of nonlinear time series methods: The TISEAN package
-
Hegger, R., Kantz, H. & Schreiber, T. [1999] "Practical implementation of nonlinear time series methods: The TISEAN package," Chaos 9, 413-435.
-
(1999)
Chaos
, vol.9
, pp. 413-435
-
-
Hegger, R.1
Kantz, H.2
Schreiber, T.3
-
71
-
-
0000899047
-
A connection between correlation and contingency
-
Hirschfeld, H. O. [1935] "A connection between correlation and contingency," Proc. Camb. Phil. Soc. 31, 520-524.
-
(1935)
Proc. Camb. Phil. Soc.
, vol.31
, pp. 520-524
-
-
Hirschfeld, H.O.1
-
72
-
-
35649001607
-
A quantitative description of membrane current and its application to conduction and excitation in nerve
-
Hodgkin, A. L. & Huxley, A. F. [1952] "A quantitative description of membrane current and its application to conduction and excitation in nerve," J. Physiol (London) 117, 500-544.
-
(1952)
J. Physiol (London)
, vol.117
, pp. 500-544
-
-
Hodgkin, A.L.1
Huxley, A.F.2
-
73
-
-
0021957153
-
Coupling of a slow and a fast oscillator can generate bursting
-
Honerkamp, J., Mutschler, G. & Seitz, R. [1985] "Coupling of a slow and a fast oscillator can generate bursting," Bull. Math. Biol 47, 1-21.
-
(1985)
Bull. Math. Biol
, vol.47
, pp. 1-21
-
-
Honerkamp, J.1
Mutschler, G.2
Seitz, R.3
-
75
-
-
84954420843
-
Analysis of nonlinear differential equations: Parameter estimation and model selection
-
Lecture Notes in Mathematics, eds. Brause, R. & Hanisch, E. (Springer, Berlin)
-
Horbelt, W., Müller, T., Timmer, J., Melzer, W. & Winkler, K. [2000] "Analysis of nonlinear differential equations: parameter estimation and model selection," Medical Data Analysis, Lecture Notes in Mathematics, Vol. 1933, eds. Brause, R. & Hanisch, E. (Springer, Berlin), pp. 152-158.
-
(2000)
Medical Data Analysis
, vol.1933
, pp. 152-158
-
-
Horbelt, W.1
Müller, T.2
Timmer, J.3
Melzer, W.4
Winkler, K.5
-
78
-
-
0037100574
-
Parameter estimation in nonlinear delayed feedback systems from noisy data
-
Horbelt, W., Timmer, J. & Voss, H. U. [2002] "Parameter estimation in nonlinear delayed feedback systems from noisy data," Phys. Lett. A299, 513-521.
-
(2002)
Phys. Lett.
, vol.A299
, pp. 513-521
-
-
Horbelt, W.1
Timmer, J.2
Voss, H.U.3
-
79
-
-
0001128249
-
Unbiased reconstruction of the dynamics underlying a noisy chaotic time series
-
Jaeger, L. & Kantz, H. [1996] "Unbiased reconstruction of the dynamics underlying a noisy chaotic time series," Chaos 6, 440-450.
-
(1996)
Chaos
, vol.6
, pp. 440-450
-
-
Jaeger, L.1
Kantz, H.2
-
81
-
-
0000265322
-
On the method of least squares
-
Jeffreys, W. H. [1980] "On the method of least squares," Astron. J. 85, 177-181.
-
(1980)
Astron. J.
, vol.85
, pp. 177-181
-
-
Jeffreys, W.H.1
-
82
-
-
13844269341
-
Erratum: On the method of least squares
-
Jeffreys, W. H. [1988] "Erratum: On the method of least squares," Astron. J. 95, 1299.
-
(1988)
Astron. J.
, vol.95
, pp. 1299
-
-
Jeffreys, W.H.1
-
83
-
-
0029199714
-
A new approach for filtering nonlinear systems
-
Seattle
-
Julier, S. J., Uhlmann, J. K. & Durrant-Whyte, H. F. [1995] "A new approach for filtering nonlinear systems," in Proc. 1995 American Control Conf., Seattle, pp. 1628-1632.
-
(1995)
Proc. 1995 American Control Conf.
, pp. 1628-1632
-
-
Julier, S.J.1
Uhlmann, J.K.2
Durrant-Whyte, H.F.3
-
84
-
-
0003712010
-
A general method for approximating nonlinear transformations of probability distributions
-
Dept. of Engineering Science, University of Oxford
-
Julier, S. J. & Uhlmann, J. K. [1996] "A general method for approximating nonlinear transformations of probability distributions," Technical Report, Dept. of Engineering Science, University of Oxford.
-
(1996)
Technical Report
-
-
Julier, S.J.1
Uhlmann, J.K.2
-
85
-
-
0033723743
-
A new method for the nonlinear transformation of means and covariances in filters and estimators
-
Julier, S., Uhlmann, J. & Durrant-Whyte, H. F. [2000] "A new method for the nonlinear transformation of means and covariances in filters and estimators," IEEE Trans. Automat. Contr. 45, 477-482.
-
(2000)
IEEE Trans. Automat. Contr.
, vol.45
, pp. 477-482
-
-
Julier, S.1
Uhlmann, J.2
Durrant-Whyte, H.F.3
-
86
-
-
21344486190
-
Global dynamical equations and Lyapunov exponents from noisy chaotic tune series
-
Kadtke, J., Brush, J. & Holzfuss, J. [1993] "Global dynamical equations and Lyapunov exponents from noisy chaotic tune series," Int. J. Bifurcation and Chaos 3, 607-616.
-
(1993)
Int. J. Bifurcation and Chaos
, vol.3
, pp. 607-616
-
-
Kadtke, J.1
Brush, J.2
Holzfuss, J.3
-
87
-
-
85024429815
-
A new approach to linear filtering and prediction problems
-
Kalman, R. [1960] "A new approach to linear filtering and prediction problems," Trans. ASME J. Basic. Eng. Series 82/D, 35-46.
-
(1960)
Trans. ASME J. Basic. Eng. Series
, vol.82 D
, pp. 35-46
-
-
Kalman, R.1
-
88
-
-
85024423711
-
New results in linear filtering and prediction theory
-
Kalman, R. E. & Bucy, R. S. [1960] "New results in linear filtering and prediction theory," Trans. ASME J. Basic. Eng. Series 83/D, 95-108.
-
(1960)
Trans. ASME J. Basic. Eng. Series
, vol.83 D
, pp. 95-108
-
-
Kalman, R.E.1
Bucy, R.S.2
-
89
-
-
0001554852
-
Dimension estimates and physiological data
-
Kantz, H. & Schreiber, T. [1995] "Dimension estimates and physiological data," Chaos 5, 143-153.
-
(1995)
Chaos
, vol.5
, pp. 143-153
-
-
Kantz, H.1
Schreiber, T.2
-
91
-
-
35949006791
-
Determining embedding dimension for phase-space reconstruction using a geometrical construction
-
Kennel, M. B., Brown, R. & Abarbanel, H. D. I. [1992] "Determining embedding dimension for phase-space reconstruction using a geometrical construction," Phys. Rev. A45, 3403-3411.
-
(1992)
Phys. Rev.
, vol.A45
, pp. 3403-3411
-
-
Kennel, M.B.1
Brown, R.2
Abarbanel, H.D.I.3
-
92
-
-
0030304310
-
Monte Carlo filter and smoother for non-Gaussian nonlinear state space models
-
Kitagawa, G. [1996] "Monte Carlo filter and smoother for non-Gaussian nonlinear state space models," J. Comput. Graph. Stat. 5, 1-25.
-
(1996)
J. Comput. Graph. Stat.
, vol.5
, pp. 1-25
-
-
Kitagawa, G.1
-
94
-
-
0001341233
-
Problems in estimating dynamics from data
-
Kostelich, E. J. [1992] "Problems in estimating dynamics from data," Physica D58, 138-152.
-
(1992)
Physica
, vol.D58
, pp. 138-152
-
-
Kostelich, E.J.1
-
95
-
-
0035395002
-
Bootstrap estimates of chaotic dynamics
-
Kostelich, E. J. [2001] "Bootstrap estimates of chaotic dynamics," Phys. Rev. E64, 016213.
-
(2001)
Phys. Rev.
, vol.E64
, pp. 016213
-
-
Kostelich, E.J.1
-
97
-
-
0000241853
-
Deterministic non-periodic flow
-
Lorenz, E. N. [1963] "Deterministic non-periodic flow," J. Atmos. Sci. 20, 130-141.
-
(1963)
J. Atmos. Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
98
-
-
0032136395
-
Recursive nonlinear filter for a continuous-discrete time model: Separation of parameters and observables
-
Lotosky, S. V. & Rozovskii, B. L. [1998] "Recursive nonlinear filter for a continuous-discrete time model: Separation of parameters and observables," IEEE Trans. Autom. Contr. 43, 1154-1158.
-
(1998)
IEEE Trans. Autom. Contr.
, vol.43
, pp. 1154-1158
-
-
Lotosky, S.V.1
Rozovskii, B.L.2
-
100
-
-
84943042620
-
The fitting of straight lines when both variables are subject to error
-
Madansky, A. [1959] "The fitting of straight lines when both variables are subject to error," J. Amer. Stat. Assoc. 54, 173-205.
-
(1959)
J. Amer. Stat. Assoc.
, vol.54
, pp. 173-205
-
-
Madansky, A.1
-
101
-
-
0015144156
-
A second-order method for state estimation of nonlinear dynamical systems
-
Mahalanabis, A. K. & Farooq, M. [1971] "A second-order method for state estimation of nonlinear dynamical systems," Int. J. Contr. 14, 631-639.
-
(1971)
Int. J. Contr.
, vol.14
, pp. 631-639
-
-
Mahalanabis, A.K.1
Farooq, M.2
-
102
-
-
0000531057
-
Use of synchronization and adaptive control in parameter estimation from time series
-
Maybhate, A. & Amritkar, R. [1999] "Use of synchronization and adaptive control in parameter estimation from time series," Phys. Rev. E59, 284-293.
-
(1999)
Phys. Rev.
, vol.E59
, pp. 284-293
-
-
Maybhate, A.1
Amritkar, R.2
-
103
-
-
0001086311
-
Better nonlinear models from noisy data: Attractors with maximum likelihood
-
McSharry, P. E. & Smith, L. A. [1999] "Better nonlinear models from noisy data: Attractors with maximum likelihood," Phys. Rev. Lett. 83, 4285-4288.
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 4285-4288
-
-
McSharry, P.E.1
Smith, L.A.2
-
106
-
-
0028554556
-
Advanced data assimilation in strongly nonlinear dynamical systems
-
Miller, R. N., Ghil, M. & Gauthiez, F. [1994] "Advanced data assimilation in strongly nonlinear dynamical systems," J. Aim. Sci. 51, 1037-1056.
-
(1994)
J. Aim. Sci.
, vol.51
, pp. 1037-1056
-
-
Miller, R.N.1
Ghil, M.2
Gauthiez, F.3
-
107
-
-
0000507270
-
Monte Carlo integration in general dynamic models
-
eds. Flournoy, N. & Tsutakawa, R. K. (American Mathematical Society, Providence)
-
Müller, P. [1991] "Monte Carlo integration in general dynamic models." Statistical Multiple Integration, eds. Flournoy, N. & Tsutakawa, R. K. (American Mathematical Society, Providence), pp. 145-163.
-
(1991)
Statistical Multiple Integration
, pp. 145-163
-
-
Müller, P.1
-
108
-
-
0036776616
-
Fitting parameters in partial differential equations from partially observed noisy data
-
Müller, T. G. & Timmer, J. [2002] "Fitting parameters in partial differential equations from partially observed noisy data," Physica D171, 1-7.
-
(2002)
Physica
, vol.D171
, pp. 1-7
-
-
Müller, T.G.1
Timmer, J.2
-
110
-
-
0035877271
-
A dynamical control view on synchronization
-
Nijmeijer, H. [2001] "A dynamical control view on synchronization," Physica D154, 219-228.
-
(2001)
Physica
, vol.D154
, pp. 219-228
-
-
Nijmeijer, H.1
-
111
-
-
0034326226
-
New developments in state estimation for nonlinear systems
-
Norgaard, M., Poulsen, N. K. & Ravn, O. [2000] "New developments in state estimation for nonlinear systems," Automatica 36, 1627-1638.
-
(2000)
Automatica
, vol.36
, pp. 1627-1638
-
-
Norgaard, M.1
Poulsen, N.K.2
Ravn, O.3
-
112
-
-
0000495680
-
Is every approximate trajectory of some process near an exact trajectory of a nearby process?
-
Nusse, H. E. & Yorke, J. A. [1989] "Is every approximate trajectory of some process near an exact trajectory of a nearby process?" Commun. Math. Phys. 114, 363-379.
-
(1989)
Commun. Math. Phys.
, vol.114
, pp. 363-379
-
-
Nusse, H.E.1
Yorke, J.A.2
-
113
-
-
0003861548
-
-
Wiley Series in Nonlinear Science (John Wiley, NY)
-
Ott, E., Sauer, T. & Yorke, J. A. [1994] Coping with Chaos, Wiley Series in Nonlinear Science (John Wiley, NY).
-
(1994)
Coping with Chaos
-
-
Ott, E.1
Sauer, T.2
Yorke, J.A.3
-
114
-
-
35949021230
-
Geometry from a time series
-
Packard, N. H., Crutchfield, J. P., Farmer, J. D. & Shaw, R. S. [1980] "Geometry from a time series," Phys. Rev. Lett. 45, 712-716.
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 712-716
-
-
Packard, N.H.1
Crutchfield, J.P.2
Farmer, J.D.3
Shaw, R.S.4
-
115
-
-
0012756667
-
On nonlinear least squares filtering
-
Pearson, J. B. [1967] "On nonlinear least squares filtering," Automatica 4, 97-105.
-
(1967)
Automatica
, vol.4
, pp. 97-105
-
-
Pearson, J.B.1
-
116
-
-
0041315040
-
Nonparametric identification of nonlinear oscillating systems
-
to appear
-
Peifer, M., Timmer, J. & Voss, H. U. [2003] "Nonparametric identification of nonlinear oscillating systems," J. Sound Vibr., to appear.
-
(2003)
J. Sound Vibr.
-
-
Peifer, M.1
Timmer, J.2
Voss, H.U.3
-
119
-
-
0004161838
-
-
Cambridge University Press, Cambridge
-
Press, W. H. et al. [1997] Numerical Recipes in C (Cambridge University Press, Cambridge).
-
(1997)
Numerical Recipes in C
-
-
Press, W.H.1
-
120
-
-
0032691629
-
Online estimation of hidden Markov models
-
Radons, G. & Stiller, J. C. [1999] "Online estimation of hidden Markov models," IEEE Sign. Process. Lett. 6, 213-215.
-
(1999)
IEEE Sign. Process. Lett.
, vol.6
, pp. 213-215
-
-
Radons, G.1
Stiller, J.C.2
-
122
-
-
0000016172
-
A stochastic approximation method A
-
Robbins, H. & Munroe, S. [1951] "A stochastic approximation method A," Math. Statist. 22, 400-407.
-
(1951)
Math. Statist.
, vol.22
, pp. 400-407
-
-
Robbins, H.1
Munroe, S.2
-
123
-
-
45849154926
-
Parameter evaluation from time sequences using chaos synchronization
-
Sakaguchi, H. [2002] "Parameter evaluation from time sequences using chaos synchronization," Phys. Rev. E65, 1-4.
-
(2002)
Phys. Rev.
, vol.E65
, pp. 1-4
-
-
Sakaguchi, H.1
-
124
-
-
0003227987
-
State-space estimation with uncertain models
-
eds. van Huffel, S. & Lemmerling, P. (Kluwer, NY)
-
Sayed, A. H. & Subramanian, A. [2002] "State-space estimation with uncertain models," Total Least Squares and Errors-in- Variables Modeling, III: Analysis, Algorithms and Applications, eds. van Huffel, S. & Lemmerling, P. (Kluwer, NY).
-
(2002)
Total Least Squares and Errors-in- Variables Modeling, III: Analysis, Algorithms and Applications
-
-
Sayed, A.H.1
Subramanian, A.2
-
126
-
-
21344492256
-
Parameter estimation in systems of nonlinear equations
-
Schittkowski, K. [1994] "Parameter estimation in systems of nonlinear equations," Numer. Math. 68, 129-142.
-
(1994)
Numer. Math.
, vol.68
, pp. 129-142
-
-
Schittkowski, K.1
-
127
-
-
0008890686
-
Parameter estimation in differential equations
-
ed. Agarwal, R. (World Scientific, Singapore)
-
Schittkowski, K. [1995] "Parameter estimation in differential equations," Recent Trends in Optimization Theory and Applications, ed. Agarwal, R. (World Scientific, Singapore), pp. 353-370.
-
(1995)
Recent Trends in Optimization Theory and Applications
, pp. 353-370
-
-
Schittkowski, K.1
-
128
-
-
0027555866
-
Designing nonlinear filters based on Daum's theory
-
Schmidt, G. C. [1993] "Designing nonlinear filters based on Daum's theory," J. Guidance Contr. Dyn. 16, 371-376.
-
(1993)
J. Guidance Contr. Dyn.
, vol.16
, pp. 371-376
-
-
Schmidt, G.C.1
-
130
-
-
0038853197
-
Partial non-Gaussian state space
-
Shephard, N. [1994] "Partial non-Gaussian state space," Biometrika 81, 115-131.
-
(1994)
Biometrika
, vol.81
, pp. 115-131
-
-
Shephard, N.1
-
131
-
-
84986753417
-
An approach to time series smoothing and forecasting using the EM algorithm
-
Shumway, R. H. & Stoffer, D. S. [1982] "An approach to time series smoothing and forecasting using the EM algorithm," J. Time Ser. Anal. 3, 253-264.
-
(1982)
J. Time Ser. Anal.
, vol.3
, pp. 253-264
-
-
Shumway, R.H.1
Stoffer, D.S.2
-
133
-
-
0042284246
-
Analysis of data sets of stochastic systems
-
Siegert, S., Friedrich, R. & Peinke, J. [1998] "Analysis of data sets of stochastic systems," Phys. Lett. A243, 275-280.
-
(1998)
Phys. Lett.
, vol.A243
, pp. 275-280
-
-
Siegert, S.1
Friedrich, R.2
Peinke, J.3
-
135
-
-
37649031765
-
Estimation of parameters and unobserved components for chaotic systems from noisy time series
-
Sitz, A., Schwarz, U., Kurths, J. & Voss, H. U. [2002] "Estimation of parameters and unobserved components for chaotic systems from noisy time series," Phys. Rev. E66, 016210.
-
(2002)
Phys. Rev.
, vol.E66
, pp. 016210
-
-
Sitz, A.1
Schwarz, U.2
Kurths, J.3
Voss, H.U.4
-
136
-
-
18844467162
-
Identification of nonlinear spatiotemporal systems via partitioned filtering
-
Sitz, A., Kurths, J. & Voss, H. U. [2003] "Identification of nonlinear spatiotemporal systems via partitioned filtering," Phys. Rev. E68, 016202.
-
(2003)
Phys. Rev.
, vol.E68
, pp. 016202
-
-
Sitz, A.1
Kurths, J.2
Voss, H.U.3
-
137
-
-
0036680579
-
Perspectives on errors-in-variables estimation for dynamic systems
-
Söderström, T., Soverini, U. & Mahata, K. [2002] "Perspectives on errors-in-variables estimation for dynamic systems," Sign. Process. 82, 1139-1154.
-
(2002)
Sign. Process.
, vol.82
, pp. 1139-1154
-
-
Söderström, T.1
Soverini, U.2
Mahata, K.3
-
138
-
-
0000724440
-
On the numerical solution of constrained leastsquares problems
-
Stoer, J. [1971] "On the numerical solution of constrained leastsquares problems," SIAM J. Numer. Anal. 8, 382-411.
-
(1971)
SIAM J. Numer. Anal.
, vol.8
, pp. 382-411
-
-
Stoer, J.1
-
140
-
-
0346617792
-
A simple method to reveal the parameters of the Lorenz system
-
Stojanovski, T., Kocarev, L. & Parlitz, U. [1996] "A simple method to reveal the parameters of the Lorenz system," Int. J. Bifurcation and Chaos 6, 2645-2652.
-
(1996)
Int. J. Bifurcation and Chaos
, vol.6
, pp. 2645-2652
-
-
Stojanovski, T.1
Kocarev, L.2
Parlitz, U.3
-
141
-
-
0345513283
-
Parameter estimation in chemical engineering, a case study for resin production
-
eds. Keil, F., Mackens, W., Voß, H. & Werther, J. (Springer, Heidelberg)
-
Stortelder, W. J. H. [1996] "Parameter estimation in chemical engineering, a case study for resin production," Scientific Computing in Chemical Engineering, eds. Keil, F., Mackens, W., Voß, H. & Werther, J. (Springer, Heidelberg), pp. 226-238.
-
(1996)
Scientific Computing in Chemical Engineering
, pp. 226-238
-
-
Stortelder, W.J.H.1
-
143
-
-
0014629833
-
An approximate method of state estimation for nonlinear dynamical systems
-
University of Colorado
-
Sunahara, Y. [1969] "An approximate method of state estimation for nonlinear dynamical systems," in Joint Automatic Control Conf., University of Colorado.
-
(1969)
Joint Automatic Control Conf.
-
-
Sunahara, Y.1
-
144
-
-
0000779360
-
Detecting strange attractors in turbulence
-
Lecture Notes in Mathematics, eds. Rand, D. & Young, L. (Springer, Berlin)
-
Takens, F. [1981] "Detecting strange attractors in turbulence, " Dynamical Systems and Turbulence, Lecture Notes in Mathematics, Vol. 898, eds. Rand, D. & Young, L. (Springer, Berlin), pp. 366-381.
-
(1981)
Dynamical Systems and Turbulence
, vol.898
, pp. 366-381
-
-
Takens, F.1
-
146
-
-
0000478578
-
Statistical precision of dimension estimators
-
Theiler, J. [1990] "Statistical precision of dimension estimators," Phys. Rev. A41, 3038-3051.
-
(1990)
Phys. Rev.
, vol.A41
, pp. 3038-3051
-
-
Theiler, J.1
-
147
-
-
0012953052
-
Anomalous convergence of Lyapunov exponent estimates
-
Theiler, J. & Smith, L. A. [1995] "Anomalous convergence of Lyapunov exponent estimates," Phys. Rev. E51, 3738-3741.
-
(1995)
Phys. Rev.
, vol.E51
, pp. 3738-3741
-
-
Theiler, J.1
Smith, L.A.2
-
148
-
-
0000438897
-
Modeling noisy time series: Physiological tremor
-
Timmer, J. [1998] "Modeling noisy time series: Physiological tremor," Int. J. Bifurcation and Chaos 8, 1505-1516.
-
(1998)
Int. J. Bifurcation and Chaos
, vol.8
, pp. 1505-1516
-
-
Timmer, J.1
-
149
-
-
0034563695
-
Estimating parameters in nonlinear stochastic differential equations
-
Timmer, J. [2000] "Estimating parameters in nonlinear stochastic differential equations," Chaos Solit. Fract. 11, 2571-2578.
-
(2000)
Chaos Solit. Fract.
, vol.11
, pp. 2571-2578
-
-
Timmer, J.1
-
150
-
-
0034683569
-
Parametric, nonparametric and parametric modelling of a chaotic circuit time series
-
Timmer, J., Rust, H., Horbelt, W. & Voss, H. U. [2000] "Parametric, nonparametric and parametric modelling of a chaotic circuit time series," Phys. Lett. A274, 123-134.
-
(2000)
Phys. Lett.
, vol.A274
, pp. 123-134
-
-
Timmer, J.1
Rust, H.2
Horbelt, W.3
Voss, H.U.4
-
151
-
-
0003424263
-
Nonlinear parameter estimation in initial value problems
-
Mathematical Centre Amsterdam
-
van Domselaar, B. & Hemker, P. [1975] "Nonlinear parameter estimation in initial value problems," Technical Report NW 18/75, Mathematical Centre Amsterdam.
-
(1975)
Technical Report
, vol.NW 18-75
-
-
Van Domselaar, B.1
Hemker, P.2
-
153
-
-
30244513449
-
Reconstruction of nonlinear time delay models from data by the use of optimal transformations
-
Voss, H. & Kurths, J. [1997] "Reconstruction of nonlinear time delay models from data by the use of optimal transformations," Phys. Lett. A234, 336-344.
-
(1997)
Phys. Lett.
, vol.A234
, pp. 336-344
-
-
Voss, H.1
Kurths, J.2
-
154
-
-
0001088145
-
Identification of continuous, spatiotemporal systems
-
Voss, H., Bünner, M. J. & Abel, M. [1998] "Identification of continuous, spatiotemporal systems," Phys. Rev. E57, 2820-2823.
-
(1998)
Phys. Rev.
, vol.E57
, pp. 2820-2823
-
-
Voss, H.1
Bünner, M.J.2
Abel, M.3
-
155
-
-
0001677666
-
Amplitude equations from spatiotemporal binary-fluid convection data
-
Voss, H. U., Kolodner, P., Abel, M. & Kurths, J. [1999a] "Amplitude equations from spatiotemporal binary-fluid convection data," Phys. Rev. Lett. 83, 3422-3425.
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 3422-3425
-
-
Voss, H.U.1
Kolodner, P.2
Abel, M.3
Kurths, J.4
-
156
-
-
0002231381
-
Equations of motion from chaotic data: A driven optical fiber ring resonator
-
Voss, H. U., Schwache, A., Kurths, J. & Mitschke, F. [1999b] "Equations of motion from chaotic data: A driven optical fiber ring resonator," Phys. Lett. A256, 47-54.
-
(1999)
Phys. Lett.
, vol.A256
, pp. 47-54
-
-
Voss, H.U.1
Schwache, A.2
Kurths, J.3
Mitschke, F.4
-
157
-
-
13844262932
-
Kalman filtering of time series data
-
eds. Soofi, A. & Cao, L. (Kluwer Academic Publishers, Boston)
-
Walker, D. M. [2002] "Kalman filtering of time series data," Modelling and Forecasting Financial Data-Techniques of Nonlinear Dynamics, eds. Soofi, A. & Cao, L. (Kluwer Academic Publishers, Boston), pp. 137-157.
-
(2002)
Modelling and Forecasting Financial Data-techniques of Nonlinear Dynamics
, pp. 137-157
-
-
Walker, D.M.1
-
158
-
-
84899031901
-
Dual estimation and the unscented transformation
-
eds. Solla, S., Leen, T. & Müller, K.-R. (The MIT Press)
-
Wan, E. A., Merwe, R. & Nelson, A. T. [2000] "Dual estimation and the unscented transformation," Advances in Neural Information Processing Systems, Vol. 12, eds. Solla, S., Leen, T. & Müller, K.-R. (The MIT Press), pp. 666-672.
-
(2000)
Advances in Neural Information Processing Systems
, vol.12
, pp. 666-672
-
-
Wan, E.A.1
Merwe, R.2
Nelson, A.T.3
-
160
-
-
0028448672
-
Robust Kalman filtering for uncertain discrete-time systems
-
Xie, L., Soh, Y. C. & de Souza, C. E. [1994] "Robust Kalman filtering for uncertain discrete-time systems," IEEE Trans. Autom. Contr. 39, 1310-1340.
-
(1994)
IEEE Trans. Autom. Contr.
, vol.39
, pp. 1310-1340
-
-
Xie, L.1
Soh, Y.C.2
De Souza, C.E.3
-
161
-
-
0019438004
-
Parameter estimation for continuous-time models -a survey
-
Young, P. [1981] "Parameter estimation for continuous-time models -a survey," Automatica 17, 23-39.
-
(1981)
Automatica
, vol.17
, pp. 23-39
-
-
Young, P.1
-
162
-
-
0002134783
-
Stochastic, dynamic modelling and signal processing: Time variable and state dependent parameter estimation
-
eds. Fitzgerald, W. J. et al. (Cambridge University Press, Cambridge)
-
Young, P. [2000] "Stochastic, dynamic modelling and signal processing: Time variable and state dependent parameter estimation," Nonlinear and Nonstationary Signal Processing, eds. Fitzgerald, W. J. et al. (Cambridge University Press, Cambridge), pp. 74-114.
-
(2000)
Nonlinear and Nonstationary Signal Processing
, pp. 74-114
-
-
Young, P.1
-
163
-
-
0014752546
-
An instrumental variable method for real-time identification of a noisy process
-
Young, P. C. [1970] "An instrumental variable method for real-time identification of a noisy process," Automatica 6, 271-287.
-
(1970)
Automatica
, vol.6
, pp. 271-287
-
-
Young, P.C.1
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