-
2
-
-
36348987164
-
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems
-
Abramov R V and Majda A J 2007 Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems Nonlinearity 20 2793-821
-
(2007)
Nonlinearity
, vol.20
, pp. 2793-2821
-
-
Abramov, R.V.1
Majda, A.J.2
-
3
-
-
84867954551
-
New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems
-
Abramov R V and Majda A J 2008 New approximations and tests of linear fluctuation-response for chaotic nonlinear forced-dissipative dynamical systems J. Nonlinear Sci. 18 303-41
-
(2008)
J. Nonlinear Sci.
, vol.18
, pp. 303-341
-
-
Abramov, R.V.1
Majda, A.J.2
-
4
-
-
65549103407
-
A new algorithm for low frequency climate response
-
Abramov R V and Majda A J 2009 A new algorithm for low frequency climate response J. Atmos. Sci. 66 286-309
-
(2009)
J. Atmos. Sci.
, vol.66
, pp. 286-309
-
-
Abramov, R.V.1
Majda, A.J.2
-
5
-
-
15944401206
-
Navier-Stokes equations: Controllability by means of low modes forcing
-
Agrachev A A and Sarychev A V 2005 Navier-Stokes equations: controllability by means of low modes forcing J. Math. Fluid Mech. 7 108-52
-
(2005)
J. Math. Fluid Mech.
, vol.7
, pp. 108-152
-
-
Agrachev, A.A.1
Sarychev, A.V.2
-
7
-
-
44949166500
-
Linear response despite critical points
-
Baladi V 2008 Linear response despite critical points Nonlinearity 21 T81-90
-
(2008)
Nonlinearity
, vol.21
-
-
Baladi, V.1
-
8
-
-
34548433206
-
Smooth Anosov flows: Correlation spectra and stability
-
Butterley O and Liverani C 2007 Smooth Anosov flows: correlation spectra and stability J. Mod. Dyn. 1 301-22
-
(2007)
J. Mod. Dyn.
, vol.1
, pp. 301-322
-
-
Butterley, O.1
Liverani, C.2
-
9
-
-
43049138826
-
Linear response formula for piecewise expanding unimodal maps
-
Baladi V and Smania D 2008 Linear response formula for piecewise expanding unimodal maps Nonlinearity 21 677-711
-
(2008)
Nonlinearity
, vol.21
, pp. 677-711
-
-
Baladi, V.1
Smania, D.2
-
10
-
-
21144471502
-
On the spectra of randomly perturbed expanding maps
-
Baladi V and Young L-S 1993 On the spectra of randomly perturbed expanding maps Commun. Math. Phys. 156 355-85
-
(1993)
Commun. Math. Phys.
, vol.156
, pp. 355-385
-
-
Baladi, V.1
Young, L.-S.2
-
12
-
-
0842346767
-
On differentiability of SRB states for partially hyperbolic systems
-
Dolgopyat D 2004 On differentiability of SRB states for partially hyperbolic systems Invent. Math. 155 389-449
-
(2004)
Invent. Math.
, vol.155
, pp. 389-449
-
-
Dolgopyat, D.1
-
14
-
-
0035516434
-
Ergodicity for the Navier-Stokes equation with degenerate random forcing: Finite-dimensional approximation
-
W E and Mattingly J C 2001 Ergodicity for the Navier-Stokes equation with degenerate random forcing: finite-dimensional approximation Commun. Pure Appl. Math. 54 1386-402
-
(2001)
Commun. Pure Appl. Math.
, vol.54
, pp. 1386-1402
-
-
Mattingly, J.C.1
-
15
-
-
34547816534
-
Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem
-
Gritsun A and Branstator G 2007 Climate response using a three-dimensional operator based on the fluctuation-dissipation theorem J. Atmos. Sci. 64 2558-75
-
(2007)
J. Atmos. Sci.
, vol.64
, pp. 2558-2575
-
-
Gritsun, A.1
Branstator, G.2
-
16
-
-
0038378803
-
Construction of the linear response operator of an atmospheric general circulation model to small external forcing
-
Gritsoun A S, Branstator G and Dymnikov V P 2002 Construction of the linear response operator of an atmospheric general circulation model to small external forcing Russ. J. Numer. Anal. Math. Modelling 17 399-416
-
(2002)
Russ. J. Numer. Anal. Math. Modelling
, vol.17
, pp. 399-416
-
-
Gritsoun, A.S.1
Branstator, G.2
Dymnikov, V.P.3
-
17
-
-
56849093930
-
Climate response of linear and quadratic functionals using the fluctuation-dissipation theorem
-
Gritsun A, Branstator G and Majda A 2008 Climate response of linear and quadratic functionals using the fluctuation-dissipation theorem J. Atmos. Sci. 65 2824-41
-
(2008)
J. Atmos. Sci.
, vol.65
, pp. 2824-2841
-
-
Gritsun, A.1
Branstator, G.2
Majda, A.3
-
18
-
-
0000827327
-
Barotropic atmosphere response to small external actions: Theory and numerical experiments
-
Gritsun A and Dymnikov V 1999 Barotropic atmosphere response to small external actions: Theory and numerical experiments Izv. Akad. Nauk. Fiz. Atmos. Okeana. Biol. 35 565-81
-
(1999)
Izv. Akad. Nauk. Fiz. Atmos. Okeana. Biol.
, vol.35
, pp. 565-581
-
-
Gritsun, A.1
Dymnikov, V.2
-
20
-
-
48749091873
-
Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties
-
Gouzel S and Liverani C 2008 Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties J. Diff. Geom. 79 433-77
-
(2008)
J. Diff. Geom.
, vol.79
, pp. 433-477
-
-
Gouzel, S.1
Liverani, C.2
-
21
-
-
33847788674
-
Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing
-
Hairer M and Mattingly J C 2006 Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing Ann. Math. (2) 164 993-1032
-
(2006)
Ann. Math. (2)
, vol.164
, pp. 993-1032
-
-
Hairer, M.1
Mattingly, J.C.2
-
22
-
-
61849127765
-
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
-
Hairer M and Mattingly J C 2008 Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations Ann. Probab. 36 2050-91
-
(2008)
Ann. Probab.
, vol.36
, pp. 2050-2091
-
-
Hairer, M.1
Mattingly, J.C.2
-
25
-
-
79952008924
-
Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations
-
at press (DOI:10.1007/S00440-009-0250-6)
-
Hairer M, Mattingly J C and Scheutzow M 2009 Asymptotic coupling and a weak form of Harris' theorem with applications to stochastic delay equations Probab. Theory Relat. Fields at press (DOI:10.1007/S00440-009-0250-6)
-
(2009)
Probab. Theory Relat. Fields
-
-
Hairer, M.1
Mattingly, J.C.2
Scheutzow, M.3
-
26
-
-
0000762587
-
Polynomial control systems
-
Jurdjevic V and Kupka I 1985 Polynomial control systems Math. Ann. 272 361-8
-
(1985)
Math. Ann.
, vol.272
, pp. 361-368
-
-
Jurdjevic, V.1
Kupka, I.2
-
27
-
-
0003862232
-
-
(Grundlehren der Mathematischen Wissenschaften band 132) 2nd edn (Berlin: Springer)
-
Kato T 1976 Perturbation Theory for Linear Operators (Grundlehren der Mathematischen Wissenschaften band 132) 2nd edn (Berlin: Springer)
-
(1976)
Perturbation Theory for Linear Operators
-
-
Kato, T.1
-
32
-
-
0016559683
-
Climate response and fluctuation dissipation
-
Leith C 1975 Climate response and fluctuation dissipation J. Atmos. Sci. 32 2022-6
-
(1975)
J. Atmos. Sci.
, vol.32
, pp. 2022-2026
-
-
Leith, C.1
-
34
-
-
76249097159
-
High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability
-
Majda A J, Abramov R and Gershgorin B 2010 High skill in low-frequency climate response through fluctuation dissipation theorems despite structural instability Proc. Natl Acad. Sci. 107 581-6
-
(2010)
Proc. Natl Acad. Sci.
, vol.107
, pp. 581-586
-
-
Majda, A.J.1
Abramov, R.2
Gershgorin, B.3
-
35
-
-
0037249680
-
On nonlinear controllability of homogeneous systems linear in control
-
Melody J, Baar T and Bullo F 2003 On nonlinear controllability of homogeneous systems linear in control IEEE Trans. Autom. Control 48 139-43
-
(2003)
IEEE Trans. Autom. Control
, vol.48
, pp. 139-143
-
-
Melody, J.1
Baar, T.2
Bullo, F.3
-
37
-
-
77949738950
-
Low frequency climate response and fluctuation-dissipation theorems: Theory and practice
-
at press (DOI:10.1175/2009JAS3264.1)
-
Majda A, Gershgorin B and Yuan Y 2010 Low frequency climate response and fluctuation-dissipation theorems: theory and practice J. Atmos. Sci. at press (DOI:10.1175/2009JAS3264.1)
-
(2010)
J. Atmos. Sci.
-
-
Majda, A.1
Gershgorin, B.2
Yuan, Y.3
-
39
-
-
77949669181
-
Linear response theory for statistical ensembles in complex systems with time periodic forcing
-
Majda A and Wang X 2010 Linear response theory for statistical ensembles in complex systems with time periodic forcing Commun. Math. Sci. 8 142-72
-
(2010)
Commun. Math. Sci.
, vol.8
, pp. 142-172
-
-
Majda, A.1
Wang, X.2
-
41
-
-
58149204320
-
The Malliavin calculus and related topics
-
2nd edn (Berlin: Springer)
-
Nualart D 2006 The Malliavin calculus and related topics Probability and its Applications 2nd edn (Berlin: Springer)
-
(2006)
Probability and Its Applications
-
-
Nualart, D.1
-
42
-
-
0035086606
-
A nonlinear dynamical perspective on model error: A proposal for non-local stochastic-dynamic parametrization in weather and climate prediction models
-
Palmer T 2001 A nonlinear dynamical perspective on model error: a proposal for non-local stochastic-dynamic parametrization in weather and climate prediction models Q. J. R. Meteorol. Soc. part B 127 279-304
-
(2001)
Q. J. R. Meteorol. Soc.
, vol.127
, pp. 279-304
-
-
Palmer, T.1
-
43
-
-
77949751361
-
-
Palmer T and Williams P (ed) (Cambridge: Cambridge University Press)
-
Palmer T and Williams P (ed) 2010 Stochastic Physics and Climate Modelling (Cambridge: Cambridge University Press)
-
(2010)
Stochastic Physics and Climate Modelling
-
-
-
45
-
-
3042696292
-
Ergodicity of the finite dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise
-
Romito M 2004 Ergodicity of the finite dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise J. Stat. Phys. 114 155-77
-
(2004)
J. Stat. Phys.
, vol.114
, Issue.1-2
, pp. 155-177
-
-
Romito, M.1
-
46
-
-
0141774921
-
The thermodynamic formalism for expanding maps
-
Ruelle D 1989 The thermodynamic formalism for expanding maps Commun. Math. Phys. 125 239-62
-
(1989)
Commun. Math. Phys.
, vol.125
, pp. 239-262
-
-
Ruelle, D.1
-
47
-
-
0031548918
-
Differentiation of SRB states
-
Ruelle D 1997 Differentiation of SRB states Commun. Math. Phys. 187 227-41
-
(1997)
Commun. Math. Phys.
, vol.187
, pp. 227-241
-
-
Ruelle, D.1
-
48
-
-
0023138986
-
A general theorem on local controllability
-
Sussmann H J 1987 A general theorem on local controllability SIAM J. Control Optim. 25 158-94
-
(1987)
SIAM J. Control Optim.
, vol.25
, pp. 158-194
-
-
Sussmann, H.J.1
|