-
1
-
-
0002826159
-
Neural networks in control system
-
Antsaklis P. Neural networks in control system IEEE Control Systems Mag. 10 3 1990 3-5
-
(1990)
IEEE Control Systems Mag.
, vol.10
, Issue.3
, pp. 3-5
-
-
Antsaklis, P.1
-
2
-
-
0001188213
-
Kuramoto-Sivashinsky dynamics on the center-unstable manifold
-
Armbruster D. Guckenheimer J. Holmes P.J. Kuramoto-Sivashinsky dynamics on the center-unstable manifold SIAM J. Appl. Math. 49 3 1989 676-691
-
(1989)
SIAM J. Appl. Math.
, vol.49
, Issue.3
, pp. 676-691
-
-
Armbruster, D.1
Guckenheimer, J.2
Holmes, P.J.3
-
6
-
-
0001208814
-
Kolmogorov's seminar on selected problems of analysis
-
Arnold V.I. Meshalkin L.D. Kolmogorov's seminar on selected problems of analysis Usprkhi Mat. Nauk. 15 1960 247-250
-
(1960)
Usprkhi Mat. Nauk.
, vol.15
, pp. 247-250
-
-
Arnold, V.I.1
Meshalkin, L.D.2
-
7
-
-
0001108405
-
Preserving symmetries in the proper orthogonal decomposition
-
Aubry N. Lian W-Y. Titi E.S. Preserving symmetries in the proper orthogonal decomposition SIAM J. Sci. Comput. 14 1993 483-505
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 483-505
-
-
Aubry, N.1
Lian, W-Y.2
Titi, E.S.3
-
8
-
-
0003014302
-
Attractors of partial differential equations and estimate of their dimension
-
Babin A.V. Vishik M.I. Attractors of partial differential equations and estimate of their dimension Uspeki Mat. Nauk. 38 1983 133-187
-
(1983)
Uspeki Mat. Nauk.
, vol.38
, pp. 133-187
-
-
Babin, A.V.1
Vishik, M.I.2
-
10
-
-
0009632228
-
Galerkin projections and the proper orthogonal decomposition for equivariant equations
-
Berkooz G. Titi E.S. Galerkin projections and the proper orthogonal decomposition for equivariant equations Phys. Lett. A 174 1993 94-102
-
(1993)
Phys. Lett. A
, vol.174
, pp. 94-102
-
-
Berkooz, G.1
Titi, E.S.2
-
11
-
-
0024928281
-
Speech dynamics and recurrent neural networks
-
Glasgow, UK
-
H. Bourlard, C.J. Wellekens, Speech dynamics and recurrent neural networks, Proceedings of ICASSP, Glasgow, UK, 1989, pp. 33-36.
-
(1989)
Proceedings of ICASSP
, pp. 33-36
-
-
Bourlard, H.1
Wellekens, C.J.2
-
13
-
-
0040927711
-
The Whitney reduction network: A method for computing autoassociative graphs
-
Broomhead D.S. Kirby M. The Whitney reduction network: a method for computing autoassociative graphs Neural Comput. 30 2001 2595-2616
-
(2001)
Neural Comput.
, vol.30
, pp. 2595-2616
-
-
Broomhead, D.S.1
Kirby, M.2
-
16
-
-
0003241758
-
Integral manifold and inertial manifolds for dissipative partial differential equations
-
New York: Springer
-
Constantin P. Foias C. Nicolaenko B. Teman R. Integral manifold and inertial manifolds for dissipative partial differential equations, Applied Mathematical Sciences 1989 Springer New York
-
(1989)
Applied Mathematical Sciences
-
-
Constantin, P.1
Foias, C.2
Nicolaenko, B.3
Teman, R.4
-
17
-
-
0023999086
-
On the dimension of the attractors in two-dimensional turbulence
-
Constantin P. Foias C. Teman R. On the dimension of the attractors in two-dimensional turbulence Physica D 30 3 1988 284-296
-
(1988)
Physica D
, vol.30
, Issue.3
, pp. 284-296
-
-
Constantin, P.1
Foias, C.2
Teman, R.3
-
19
-
-
0025404590
-
On the relations between modelling approaches for speech recognition
-
Ephrain Y. Rabiner L. On the relations between modelling approaches for speech recognition IEEE Trans. Acoust. Speech Signal Process. 36 1990 372-379
-
(1990)
IEEE Trans. Acoust. Speech Signal Process
, vol.36
, pp. 372-379
-
-
Ephrain, Y.1
Rabiner, L.2
-
21
-
-
0013326768
-
On the Hausdorff dimension of an attractor for the two-dimensional Navier-Stokes equations
-
Foias C. Teman R. On the Hausdorff dimension of an attractor for the two-dimensional Navier-Stokes equations Phys. Lett. 93 9 1983 451-454
-
(1983)
Phys. Lett.
, vol.93
, Issue.9
, pp. 451-454
-
-
Foias, C.1
Teman, R.2
-
24
-
-
0041040359
-
Application of artificial neural network for estimating tight gas sand intrinsic permeability
-
Garrouch A.A. Smaoui N. Application of artificial neural network for estimating tight gas sand intrinsic permeability Energ. Fuel. 10 1996 1053-1059
-
(1996)
Energ. Fuel.
, vol.10
, pp. 1053-1059
-
-
Garrouch, A.A.1
Smaoui, N.2
-
25
-
-
0035871679
-
Characterization of a two-parameter mixed-mode behavior regime using neural networks
-
Gonzalez-Garcia R. Rico-Martinez R. Wolf W. Lubke M. Eiswirth M. Anderson J.S. Kevrekidis I.G. Characterization of a two-parameter mixed-mode behavior regime using neural networks Physica D 151 1 2001 27-43
-
(2001)
Physica D
, vol.151
, Issue.1
, pp. 27-43
-
-
Gonzalez-Garcia, R.1
Rico-Martinez, R.2
Wolf, W.3
Lubke, M.4
Eiswirth, M.5
Anderson, J.S.6
Kevrekidis, I.G.7
-
26
-
-
0003626435
-
-
2nd Edition, Addison-Wesley, Reading, MA
-
A.C. Gonzalez, P. Winiz, Digital Image Processing, 2nd Edition, Addison-Wesley, Reading, MA, 1987, pp. 122-130.
-
(1987)
Digital Image Processing
, pp. 122-130
-
-
Gonzalez, A.C.1
Winiz, P.2
-
28
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
New York: Springer
-
Henry D. Geometric theory of semilinear parabolic equations Lecture Notes in Mathematics Vol. 840 1981 Springer New York
-
(1981)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
29
-
-
0021835689
-
Neural computation of decisions optimization problems
-
Hopfield J.J. Tank D.W. Neural computation of decisions optimization problems Biol. Cybernet. 52 1985 141-144
-
(1985)
Biol. Cybernet.
, vol.52
, pp. 141-144
-
-
Hopfield, J.J.1
Tank, D.W.2
-
30
-
-
0001710505
-
Analysis of a complex statistical variables into principal components
-
Hotelling H. Analysis of a complex statistical variables into principal components J. Ed. Psychol. 24 1933 498-520
-
(1933)
J. Ed. Psychol.
, vol.24
, pp. 498-520
-
-
Hotelling, H.1
-
31
-
-
0000618153
-
Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interface
-
Hyman J.M. Nicolaenko B. Zaleski S. Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interface Physica D 23 1986 265-292
-
(1986)
Physica D
, vol.23
, pp. 265-292
-
-
Hyman, J.M.1
Nicolaenko, B.2
Zaleski, S.3
-
33
-
-
0002351604
-
Bifurcation computations on an approximate inertial manifold for the 2-D Navier-Stokes equations
-
Jolly M.S. Bifurcation computations on an approximate inertial manifold for the 2-D Navier-Stokes equations Physica D 36 1993 8-20
-
(1993)
Physica D
, vol.36
, pp. 8-20
-
-
Jolly, M.S.1
-
34
-
-
34047228827
-
Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations
-
Jolly M.S. Kevrekidis I.G. Titi E.S. Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: analysis and computations Physica D 44 1990 38-60
-
(1990)
Physica D
, vol.44
, pp. 38-60
-
-
Jolly, M.S.1
Kevrekidis, I.G.2
Titi, E.S.3
-
35
-
-
0025448183
-
Back in the saddle again: A computer assisted study of the Kuramoto-Sivashinsky equation
-
Kevrekidis I.G. Nicolaenko B. Scovel C. Back in the saddle again: a computer assisted study of the Kuramoto-Sivashinsky equation SIAM J. Appl. Math. 50 3 1990 760-790
-
(1990)
SIAM J. Appl. Math.
, vol.50
, Issue.3
, pp. 760-790
-
-
Kevrekidis, I.G.1
Nicolaenko, B.2
Scovel, C.3
-
36
-
-
0005906830
-
The nonlinear reduction of high-dimensional dynamical systems via neural networks
-
Kirby M. Miranda R. The nonlinear reduction of high-dimensional dynamical systems via neural networks Phys. Rev. Lett. 72 12 1994 1822
-
(1994)
Phys. Rev. Lett.
, vol.72
, Issue.12
, pp. 1822
-
-
Kirby, M.1
Miranda, R.2
-
37
-
-
0024213260
-
Associative neural network model for the generation of temporal patterns
-
Kleifeld D. Sompolinsky H. Associative neural network model for the generation of temporal patterns Biophysics 54 1988 1039-1051
-
(1988)
Biophysics
, vol.54
, pp. 1039-1051
-
-
Kleifeld, D.1
Sompolinsky, H.2
-
38
-
-
0000507179
-
Persistent propagation of concentration waves in dissipative media far from thermal equilibrium
-
Kuramoto Y. Tsuzuki T. Persistent propagation of concentration waves in dissipative media far from thermal equilibrium Prog. Theoret. Phys. 55 1976 356-369
-
(1976)
Prog. Theoret. Phys.
, vol.55
, pp. 356-369
-
-
Kuramoto, Y.1
Tsuzuki, T.2
-
39
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorenz E.N. Deterministic nonperiodic flow J. Atmos. Sci. 20 1963 130-141
-
(1963)
J. Atmos. Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
41
-
-
0005750037
-
Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
-
Mallet-Paret J. Negatively invariant sets of compact maps and an extension of a theorem of Cartwright J. Differential Equations 22 1976 331
-
(1976)
J. Differential Equations
, vol.22
, pp. 331
-
-
Mallet-Paret, J.1
-
42
-
-
0003290175
-
On the dimension of the compact invariant sets of certain nonlinear maps
-
New York: Springer
-
Mané R. On the dimension of the compact invariant sets of certain nonlinear maps Lecture Notes in Mathematics Vol. 898 1981 Springer New York
-
(1981)
Lecture Notes in Mathematics
, vol.898
-
-
Mané, R.1
-
43
-
-
0001883464
-
An example of absence of turbulence for any Reynolds number
-
Marchioro C. An example of absence of turbulence for any Reynolds number Comm. Math. Phys. 105 1986 99-106
-
(1986)
Comm. Math. Phys.
, vol.105
, pp. 99-106
-
-
Marchioro, C.1
-
45
-
-
0001491794
-
Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous fluid
-
Meshalkin L.D. Sinal A.G. Investigation of the stability of a stationary solution of a system of equations for the plane movement of an incompressible viscous fluid J. Appl. Math. Mech. 25 1961 1700-1705
-
(1961)
J. Appl. Math. Mech.
, vol.25
, pp. 1700-1705
-
-
Meshalkin, L.D.1
Sinal, A.G.2
-
46
-
-
0009576141
-
Symmetry breaking homoclinic chaos in the Kolmogorov flows, in nonlinear world
-
V. G. Baryakhtar et al. (Ed.), Singapore: World Scientific Kiev, (1989)
-
Nicolaenko B. She Z.S. Symmetry breaking homoclinic chaos in the Kolmogorov flows, in nonlinear world Baryakhtar V.G., et-al. International workshop on Nonlinear and Turbulent Processes in Physics, Kiev, (1989) 1990 602-618 World Scientific Singapore
-
(1990)
International Workshop on Nonlinear and Turbulent Processes in Physics
, pp. 602-618
-
-
Nicolaenko, B.1
She, Z.S.2
-
47
-
-
0007454831
-
Temporal intermittency and turbulence production in the Kolmogorov flow
-
H. K. Moffatt (Ed.), Cambridge, UK: Cambridge University press
-
Nicolaenko B. She Z.S. Temporal intermittency and turbulence production in the Kolmogorov flow Moffatt H.K. Topological Fluid Mechanics 1990 256-277 Cambridge University press Cambridge, UK
-
(1990)
Topological Fluid Mechanics
, pp. 256-277
-
-
Nicolaenko, B.1
She, Z.S.2
-
48
-
-
0009633753
-
Symmetry breaking homoclinic chaos and vorticity bursts in periodic Navier-Stokes flows
-
Nicolaenko B. She Z.S. Symmetry breaking homoclinic chaos and vorticity bursts in periodic Navier-Stokes flows European J. Mech. B 10 1991 67-74
-
(1991)
European J. Mech. B
, vol.10
, pp. 67-74
-
-
Nicolaenko, B.1
She, Z.S.2
-
50
-
-
0001202597
-
Learning state space trajectories in recurrent neural networks
-
Pearlmutter B.A. Learning state space trajectories in recurrent neural networks Neural Comput. 1 1989 263-269
-
(1989)
Neural Comput.
, vol.1
, pp. 263-269
-
-
Pearlmutter, B.A.1
-
52
-
-
0024903874
-
Rapid training of higher-order neural networks for invariant pattern recognition
-
Washington DC
-
M.B. Reid, L. Spirkovska, E. Ochoa, Rapid training of higher-order neural networks for invariant pattern recognition, Proceedings of the Joint International Conference on Neural Networks, Washington DC, 1989, pp. 689-692.
-
(1989)
Proceedings of the Joint International Conference on Neural Networks
, pp. 689-692
-
-
Reid, M.B.1
Spirkovska, L.2
Ochoa, E.3
-
53
-
-
0000806354
-
Metastability and vortex pairing in the Kolmogorov flow
-
She Z.S. Metastability and vortex pairing in the Kolmogorov flow Phys. Lett. A 124 1987
-
(1987)
Phys. Lett. A
, vol.124
-
-
She, Z.S.1
-
54
-
-
0009576281
-
Large-scale dynamical and transition to turbulence in the two-dimensional Kolmogorov flow
-
H. Branover, M. Mond, & Y. Unger (Eds.), Washington, DC: AIAA
-
She Z.S. Large-scale dynamical and transition to turbulence in the two-dimensional Kolmogorov flow Branover H. Mond M. Unger Y. Current Trends in Turbulence Research 1988 374-396 AIAA Washington, DC
-
(1988)
Current Trends in Turbulence Research
, pp. 374-396
-
-
She, Z.S.1
-
55
-
-
0000246863
-
Turbulence and dynamics of coherent structures. I. coherent structures
-
Sirovich L. Turbulence and dynamics of coherent structures. I. coherent structures Quart. Appl. Math. 45 1987 561-571
-
(1987)
Quart. Appl. Math.
, vol.45
, pp. 561-571
-
-
Sirovich, L.1
-
56
-
-
0017554878
-
Nonlinear analysis of hydrodynamic instability in laminar flames. I. derivation of basic equations
-
Sivashinsky G. Nonlinear analysis of hydrodynamic instability in laminar flames. I. derivation of basic equations Acta Astronaut. 4 1977 1177-1206
-
(1977)
Acta Astronaut.
, vol.4
, pp. 1177-1206
-
-
Sivashinsky, G.1
-
57
-
-
0031389364
-
Artificial neural network-based low-dimensional model for spatio-temporally varying cellular flames
-
Smaoui N. Artificial neural network-based low-dimensional model for spatio-temporally varying cellular flames Appl. Math. Modeling 21 1997 739-748
-
(1997)
Appl. Math. Modeling
, vol.21
, pp. 739-748
-
-
Smaoui, N.1
-
58
-
-
0033731429
-
An artificial neural network noise reduction method for chaotic attractors
-
Smaoui N. An artificial neural network noise reduction method for chaotic attractors Internat. J. Comput. Math. 73 2000 417-431
-
(2000)
Internat. J. Comput. Math.
, vol.73
, pp. 417-431
-
-
Smaoui, N.1
-
59
-
-
0036289618
-
A model for the unstable manifold of the bursting behavior in the 2d Navier-Stokes flow
-
Smaoui N. A model for the unstable manifold of the bursting behavior in the 2d Navier-Stokes flow SIAM J. Sci. Comput. 23 2001 824-840
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 824-840
-
-
Smaoui, N.1
-
60
-
-
3042518384
-
Linear vs. nonlinear dimensionality reduction of high dimensional dynamical system
-
to appear
-
N. Smaoui, Linear vs. nonlinear dimensionality reduction of high dimensional dynamical system, SIAM J. Sci. Comput. (2004), to appear.
-
(2004)
SIAM J. Sci. Comput.
-
-
Smaoui, N.1
-
61
-
-
0141906256
-
Analyzing the dynamics of cellular flames using Karhunen-Loéve decomposition and autoassociative neural networks
-
Smaoui N. Al-Yakoob S. Analyzing the dynamics of cellular flames using Karhunen-Loéve decomposition and autoassociative neural networks SIAM J. Sci. Comput. 24 5 2003 1790-1808
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, Issue.5
, pp. 1790-1808
-
-
Smaoui, N.1
Al-Yakoob, S.2
-
62
-
-
0031215981
-
Symmetry and the Karhunen-Loéve analysis
-
Smaoui N. Armbruster D. Symmetry and the Karhunen-Loéve analysis SIAM J. Sci. Comput. 18 1997 1526-1532
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 1526-1532
-
-
Smaoui, N.1
Armbruster, D.2
-
63
-
-
0031179927
-
A new approach combining Karhunen-Loéve analysis and artificial neural network for estimating gas sand permeability
-
Smaoui N. Garrouch A.A. A new approach combining Karhunen-Loéve analysis and artificial neural network for estimating gas sand permeability J. Petrol. Sci. Eng. 18 1997 101-112
-
(1997)
J. Petrol. Sci. Eng.
, vol.18
, pp. 101-112
-
-
Smaoui, N.1
Garrouch, A.A.2
-
64
-
-
0034086515
-
Using Karhunen-Loéve decommission and artificial neural network to model fluid flow in porous media
-
Smaoui N. Gharbi R. Using Karhunen-Loéve decommission and artificial neural network to model fluid flow in porous media Appl. Math. Modeling 24 2000 657-675
-
(2000)
Appl. Math. Modeling
, vol.24
, pp. 657-675
-
-
Smaoui, N.1
Gharbi, R.2
-
65
-
-
3042604028
-
Classifications of human faces using K-L decomposition and radial basis function neural networks
-
Smaoui N. Matar I.M. Classifications of human faces using K-L decomposition and radial basis function neural networks Internat. J. Comput. Math. 80 3 2003 325-345
-
(2003)
Internat. J. Comput. Math.
, vol.80
, Issue.3
, pp. 325-345
-
-
Smaoui, N.1
Matar, I.M.2
|