-
1
-
-
5444261427
-
Validating identified nonlinear models with chaotic dynamics
-
Aguirre, L. A. & Billings, S. A. [1994] "Validating identified nonlinear models with chaotic dynamics," Int. J. Bifurcation and Chaos 4, 109-125.
-
(1994)
Int. J. Bifurcation and Chaos
, vol.4
, pp. 109-125
-
-
Aguirre, L.A.1
Billings, S.A.2
-
2
-
-
0002564801
-
Geodesic flows and closed Riemannian manifolds with negative curvature
-
Anosov, D. [1967] "Geodesic flows and closed Riemannian manifolds with negative curvature," Proc. Steklov Inst. Math.
-
(1967)
Proc. Steklov Inst. Math.
-
-
Anosov, D.1
-
3
-
-
29444435144
-
ω-Limit sets for axiom A diffeomorphisms
-
Bowen, R. [1975] "ω-limit sets for axiom A diffeomorphisms," J. Diff. Eqns. 18, 333-339.
-
(1975)
J. Diff. Eqns.
, vol.18
, pp. 333-339
-
-
Bowen, R.1
-
4
-
-
0001581120
-
Modeling and synchronizing chaotic systems from time-series data
-
Brown, R., Rulkov, N. F. & Tracy, E. R. [1994] "Modeling and synchronizing chaotic systems from time-series data," Phys. Rev. E49, 3784-3800.
-
(1994)
Phys. Rev.
, vol.E49
, pp. 3784-3800
-
-
Brown, R.1
Rulkov, N.F.2
Tracy, E.R.3
-
5
-
-
0033562220
-
Two kinds of predictability in the Lorenz system
-
Chu, P. [1999] "Two kinds of predictability in the Lorenz system," J. Atmos. Sci. 56, 1427-1432.
-
(1999)
J. Atmos. Sci.
, vol.56
, pp. 1427-1432
-
-
Chu, P.1
-
6
-
-
0001482955
-
An introduction to estimation theory
-
Cohn, S. [1997] "An introduction to estimation theory," J. Meteorol. Soc. Japan 75, 257-288.
-
(1997)
J. Meteorol. Soc. Japan
, vol.75
, pp. 257-288
-
-
Cohn, S.1
-
7
-
-
0028976114
-
Nonlinear demographic dynamics: Mathematical models, statistical methods, and biological experiments
-
Dennis, B., Desharnais, R. A., Cushing, J. M. & Constantino, R. F. [1995] "Nonlinear demographic dynamics: Mathematical models, statistical methods, and biological experiments," Ecol. Monogr. 65, 261-281.
-
(1995)
Ecol. Monogr.
, vol.65
, pp. 261-281
-
-
Dennis, B.1
Desharnais, R.A.2
Cushing, J.M.3
Constantino, R.F.4
-
8
-
-
0017030517
-
A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
-
Gillespie, D. T. [1976] "A general method for numerically simulating the stochastic time evolution of coupled chemical reactions," J. Comp. Phys. 22, 403-434.
-
(1976)
J. Comp. Phys.
, vol.22
, pp. 403-434
-
-
Gillespie, D.T.1
-
10
-
-
0001299511
-
Spiral chaos in a predator-prey model
-
Gilpin, M. E. [1979] "Spiral chaos in a predator-prey model," Am. Nat. 113, 306-308.
-
(1979)
Am. Nat.
, vol.113
, pp. 306-308
-
-
Gilpin, M.E.1
-
12
-
-
33846327832
-
Application of ensemble based techniques in fish-stock assessment
-
Gronnevik, R. & Evensen, G. [2001] "Application of ensemble based techniques in fish-stock assessment," Sarsia. 86, 517-526.
-
(2001)
Sarsia.
, vol.86
, pp. 517-526
-
-
Gronnevik, R.1
Evensen, G.2
-
13
-
-
0036793030
-
Accounting for model error in ensemble-based state estimation and forecasting
-
Hansen, J. [2002] "Accounting for model error in ensemble-based state estimation and forecasting," Mon. Wea. Rev. 130, 2373-2391.
-
(2002)
Mon. Wea. Rev.
, vol.130
, pp. 2373-2391
-
-
Hansen, J.1
-
14
-
-
0000536479
-
Estimations of noise levels for models of chaotic dynamical systems
-
Heald, J. P. M. & Stark, J. [2000] "Estimations of noise levels for models of chaotic dynamical systems," Phys. Rev. Lett. 84, 2366-2369.
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 2366-2369
-
-
Heald, J.P.M.1
Stark, J.2
-
15
-
-
0035339243
-
Indistinguishable states 1: The perfect model scenario
-
Judd, K. & Smith, L. A. [2001] "Indistinguishable states 1: The perfect model scenario," Physica D151, 125-141.
-
(2001)
Physica
, vol.D151
, pp. 125-141
-
-
Judd, K.1
Smith, L.A.2
-
17
-
-
0000471755
-
On conditional least-squares estimates for stochastic processes
-
Klimko, L. A. & Nelson, P. I. [1978] "On conditional least-squares estimates for stochastic processes," Ann. Stat. 6, 629-642.
-
(1978)
Ann. Stat.
, vol.6
, pp. 629-642
-
-
Klimko, L.A.1
Nelson, P.I.2
-
18
-
-
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 D41, p. 183.
-
(1990)
Physica
, vol.D41
, pp. 183
-
-
Kostelich, E.J.1
Yorke, J.A.2
-
19
-
-
0001595014
-
Topological characterization and global vector field reconstruction of an experimental electrochemical system
-
Letellier, L., Le Sceller, L., Dutertre, P., Gouesbet, G., Fei, Z. & Hudson, J. L. [1995] "Topological characterization and global vector field reconstruction of an experimental electrochemical system," J. Phys. Chem. 99, 7016-7027.
-
(1995)
J. Phys. Chem.
, vol.99
, pp. 7016-7027
-
-
Letellier, L.1
Le Sceller, L.2
Dutertre, P.3
Gouesbet, G.4
Fei, Z.5
Hudson, J.L.6
-
20
-
-
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
-
21
-
-
0001846226
-
Predictability - A problem partly solved
-
ed. Palmer, T., European Centre for Medium-Range Weather Forecasting, Shinfield Park, Reading UK
-
Lorenz, E. [1996] "Predictability - a problem partly solved," in Predictability, ed. Palmer, T., European Centre for Medium-Range Weather Forecasting, Shinfield Park, Reading UK.
-
(1996)
Predictability
-
-
Lorenz, E.1
-
23
-
-
0022104658
-
The double scroll
-
Matsumoto, T., Chua, L. O. & Komuro, M. [1985] "The double scroll," IEEE Trans. Circuits Syst. 23, 798-817.
-
(1985)
IEEE Trans. Circuits Syst.
, vol.23
, pp. 798-817
-
-
Matsumoto, T.1
Chua, L.O.2
Komuro, M.3
-
24
-
-
0036301511
-
Robustness as a measure of plausibility in models of biochemical networks
-
Morohashi, M., Winn, A. E., Borisuk, M. T., Bolouri, H., Doyle, J. & Kitano, H. [2002] "Robustness as a measure of plausibility in models of biochemical networks," J. Theor. Biol. 216, 19-30.
-
(2002)
J. Theor. Biol.
, vol.216
, pp. 19-30
-
-
Morohashi, M.1
Winn, A.E.2
Borisuk, M.T.3
Bolouri, H.4
Doyle, J.5
Kitano, H.6
-
26
-
-
0035717902
-
Model error in weather forecasting
-
Orrell, D., Smith, L., Barkmeijer, J. & Palmer, T. [2001] "Model error in weather forecasting," Nonlin. Proc. Geo. 8, 357-371.
-
(2001)
Nonlin. Proc. Geo.
, vol.8
, pp. 357-371
-
-
Orrell, D.1
Smith, L.2
Barkmeijer, J.3
Palmer, T.4
-
27
-
-
0036325834
-
Role of the metric in forecast error growth: How chaotic is the weather?
-
Orrell, D. [2002] "Role of the metric in forecast error growth: How chaotic is the weather?" Tellus A54, 350-362.
-
(2002)
Tellus
, vol.A54
, pp. 350-362
-
-
Orrell, D.1
-
28
-
-
0141795648
-
Model error and predictability over different time scales in the Lorenz '96 systems
-
Orrell, D. [2003] "Model error and predictability over different time scales in the Lorenz '96 systems," J. Atmos. Sci. 60, 2219-2228.
-
(2003)
J. Atmos. Sci.
, vol.60
, pp. 2219-2228
-
-
Orrell, D.1
-
29
-
-
0141610739
-
Visualizing bifurcations in high-dimensional systems: The spectral bifurcation diagram
-
Orrell, D. & Smith, L. A. [2003] "Visualizing bifurcations in high-dimensional systems: The spectral bifurcation diagram," Int. J. Bifurcation and Chaos 13, 3015-3027.
-
(2003)
Int. J. Bifurcation and Chaos
, vol.13
, pp. 3015-3027
-
-
Orrell, D.1
Smith, L.A.2
-
30
-
-
4143110506
-
Control of internal and external noise in genetic regulatory networks
-
Orrell, D. & Bolouri, H. [2004] "Control of internal and external noise in genetic regulatory networks," J. Theor. Biol. 230, 301-312.
-
(2004)
J. Theor. Biol.
, vol.230
, pp. 301-312
-
-
Orrell, D.1
Bolouri, H.2
-
31
-
-
17044430214
-
Filtering chaos: A technique to estimate observational and dynamical noise in nonlinear systems
-
Orrell, D. [2005a] "Filtering chaos: A technique to estimate observational and dynamical noise in nonlinear systems," Int. J. Bifurcation and Chaos 15, 99-107.
-
(2005)
Int. J. Bifurcation and Chaos
, vol.15
, pp. 99-107
-
-
Orrell, D.1
-
32
-
-
20444459404
-
Ensemble forecasting in a system with model error
-
Orrell, D. [2005b] "Ensemble forecasting in a system with model error," J. Atmos. Sci. 62, 1652-1659.
-
(2005)
J. Atmos. Sci.
, vol.62
, pp. 1652-1659
-
-
Orrell, D.1
-
34
-
-
0000212566
-
The role of the likelihood function in the estimation of chaos models
-
Ozaki, T., Jimenez, J. C. & Haggan-Ozaki, V. [2000] "The role of the likelihood function in the estimation of chaos models," J. Time Ser. Anal. 21, 363-387.
-
(2000)
J. Time Ser. Anal.
, vol.21
, pp. 363-387
-
-
Ozaki, T.1
Jimenez, J.C.2
Haggan-Ozaki, V.3
-
35
-
-
0004161838
-
-
Cambridge University Press
-
Press, W. H., Flannery, B. P., Teukolsky, S. A. & Vetterling, W. T. [1986] Numerical Recipes (Cambridge University Press).
-
(1986)
Numerical Recipes
-
-
Press, W.H.1
Flannery, B.P.2
Teukolsky, S.A.3
Vetterling, W.T.4
-
36
-
-
0032717492
-
Interdisciplinary ocean science is evolving and a systems approach is essential
-
Robinson, A. R., McCarthy, J. J. & Rothschild, B. J. [1999] "Interdisciplinary ocean science is evolving and a systems approach is essential," J. Mar. Syst. 22, 231-239.
-
(1999)
J. Mar. Syst.
, vol.22
, pp. 231-239
-
-
Robinson, A.R.1
McCarthy, J.J.2
Rothschild, B.J.3
-
37
-
-
0001044109
-
Data assimilation for modeling and predicting coupled physical-biological interactions in the sea
-
eds. Robinson, A. R., McCarthy, J. J. & Rothschild, B. J. (John Wiley, NY), Chap. 12
-
Robinson, A. R. & Lermusiaux, P. F. J. [2002] "Data assimilation for modeling and predicting coupled physical-biological interactions in the sea," The Sea, eds. Robinson, A. R., McCarthy, J. J. & Rothschild, B. J. (John Wiley, NY), Chap. 12.
-
(2002)
The Sea
-
-
Robinson, A.R.1
Lermusiaux, P.F.J.2
-
38
-
-
0001981585
-
Observing and predicting chaotic signals: Is 2% noise too much?
-
eds. Kravtsov, Y. & Kadtke, J. (Springer, NY)
-
Schreiber, T. & Kantz, H. [1996] "Observing and predicting chaotic signals: Is 2% noise too much?" Predictability of Complex Dynamical Systems, eds. Kravtsov, Y. & Kadtke, J. (Springer, NY).
-
(1996)
Predictability of Complex Dynamical Systems
-
-
Schreiber, T.1
Kantz, H.2
-
39
-
-
0000036955
-
Correlation dimension: A pivotal statistic for non-constrained realizations of composite hypotheses in surrogate data analysis
-
Small, M. & Judd, K. [1998] "Correlation dimension: A pivotal statistic for non-constrained realizations of composite hypotheses in surrogate data analysis," Physica D120, 386-400.
-
(1998)
Physica
, vol.D120
, pp. 386-400
-
-
Small, M.1
Judd, K.2
-
40
-
-
0008515839
-
Accountability in ensemble prediction
-
ed. Palmer, T., European Centre for Medium-Range Weather Forecasting, Shinfield Park, Reading UK
-
Smith, L. [1996] "Accountability in ensemble prediction," Predictability, ed. Palmer, T., European Centre for Medium-Range Weather Forecasting, Shinfield Park, Reading UK.
-
(1996)
Predictability
-
-
Smith, L.1
-
41
-
-
0033427662
-
Uncertainty dynamics and predictability in chaotic systems
-
Smith, L. A., Ziehmann, C. & Fraedrich, K. [1999] "Uncertainty dynamics and predictability in chaotic systems," Q. J. R. Meteorol. Soc. 125, 2855-2886.
-
(1999)
Q. J. R. Meteorol. Soc.
, vol.125
, pp. 2855-2886
-
-
Smith, L.A.1
Ziehmann, C.2
Fraedrich, K.3
-
42
-
-
0001823409
-
Disentangling uncertainty and error: On the predictability of nonlinear systems
-
ed. Mees, A. I. (Birkhauser, Boston)
-
Smith, L. A. [2000] "Disentangling uncertainty and error: On the predictability of nonlinear systems," in Nonlinear Dynamics and Statistics, ed. Mees, A. I. (Birkhauser, Boston), pp. 31-64.
-
(2000)
Nonlinear Dynamics and Statistics
, pp. 31-64
-
-
Smith, L.A.1
-
45
-
-
0001733213
-
Predation and resource partitioning in one-predator-two-prey model community
-
Vance, R. R. [1978] "Predation and resource partitioning in one-predator-two-prey model community," Am. Nat. 112, 797-813.
-
(1978)
Am. Nat.
, vol.112
, pp. 797-813
-
-
Vance, R.R.1
-
46
-
-
85040136095
-
Differentiable space
-
Wiener, N. [1923] "Differentiable space," J. Math. Phys. 2, p. 131.
-
(1923)
J. Math. Phys.
, vol.2
, pp. 131
-
-
Wiener, N.1
|