×

zbMATH — the first resource for mathematics

Knobloch, Edgar

Compute Distance To:
Author ID: knobloch.edgar Recent zbMATH articles by "Knobloch, Edgar"
Published as: Knobloch, E.; Knobloch, Edgar; Knoblauch, Edgar
External Links: MGP · Wikidata · GND
Documents Indexed: 179 Publications since 1977, including 1 Book
all top 5

Co-Authors

19 single-authored
18 Julien, Keith A.
14 Bergeon, Alain
12 Mercader, Isabel
10 Tobias, Steven M.
10 Vega, José Manuel
9 Proctor, Michael Richard Edward
8 Batiste, Oriol
7 Weiss, Nigel O.
6 Alonso, Arantxa
6 Higuera, María J.
6 Hirschberg, P.
6 Moehlis, Jeff
6 Porter, Jeff
5 Crawford, John David
5 Net, Marta
4 Dangelmayr, Gerhard
4 Golubitsky, Martin A.
4 Lo Jacono, David
4 Pierce, Robert D.
4 Silber, Mary
4 Spruit, H. C.
4 Thiele, Uwe
4 Toomre, Juri
3 Beaume, Cédric
3 Callahan, T. K.
3 Champneys, Alan R.
3 Deane, Anil E.
3 Goldstein, H. F.
3 Kao, Hsien-Ching
3 Kirk, Vivien
3 Martel, Carlos
3 Prat, Joana
3 Werne, Joseph
2 Assemat, Pauline
2 Avitabile, Daniele
2 Clune, Thomas
2 da Costa, Luiz Nicolaci
2 Favier, Benjamin
2 Gandhi, Punit
2 Houghton, S. M.
2 Moore, Daniel R.
2 Oldeman, Bart E.
2 Stewart, Ian Nicholas
1 Aurnou, Jonathan M.
1 Bardan, Gérald
1 Beltrame, Philippe
1 Calkins, Michael A.
1 Carter, Paul M.
1 Chini, Gregory P.
1 De Luca, Jayme
1 Desroches, Mathieu
1 Gomes, M. Gabriela M.
1 Guckenheimer, John M.
1 Guervilly, Céline
1 Hänggi, Peter
1 Henry, Daniel
1 Hettel, J.
1 Jamroz, Ben
1 Krupa, Martin
1 Lloyd, David J. B.
1 Mahalov, Alex
1 Marques, Francisco
1 Marsden, Jerrold Eldon
1 Marti, Philippe
1 Mason, Joanne
1 Meseguer, Álvaro
1 Milliff, Ralph F.
1 Mojtabi, Abdelkader
1 Omel’chenko, Oleh E.
1 Plumley, Meredith
1 Rademacher, Jens Diederich Michael
1 Riecke, Hermann
1 Rucklidge, Alastair M.
1 Rüdiger, Sten
1 Sandstede, Björn
1 Sneyd, James
1 Sprague, Michael A.
1 Stellmach, Stephan
1 Swift, James W.
1 Vasil, Geoffrey M.
1 Wagenknecht, Thomas
1 Wechselberger, Martin
1 Weiss, Jeffrey B.
1 Wiesenfeld, K. A.
1 Wolfrum, Matthias
1 Worledge, Daniel
1 Xie, Jinhan
1 Yochelis, Arik
1 Zelnik, Yuval R.
1 Zhang, Zhexuan

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 1,539 times in 932 Documents Cited by Year
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
Golubitsky, M. (ed.); Knobloch, E. (ed.)
92
2000
Snakes and ladders: localized states in the Swift-Hohenberg equation. Zbl 1236.35144
Burke, John; Knobloch, Edgar
53
2006
Homoclinic snaking: Structure and stability. Zbl 1163.37317
Burke, John; Knobloch, Edgar
50
2007
Symmetries and pattern selection in Rayleigh-Bénard convection. Zbl 0599.76098
Golubitsky, M.; Swift, J. W.; Knobloch, E.
50
1984
Convection in a rotating cylinder. I: Linear theory for moderate Prandtl numbers. Zbl 0796.76037
Goldstein, H. F.; Knobloch, E.; Mercader, I.; Net, M.
34
1993
Numerical simulation of an asymptotically reduced system for rotationally constrained convection. Zbl 1119.76057
Sprague, Michael; Julien, Keith; Knobloch, Edgar; Werne, Joseph
34
2006
Spatially localized structures in dissipative systems: open problems. Zbl 1139.35002
Knobloch, E.
33
2008
Pattern formation in three-dimensional reaction-diffusion systems. Zbl 0935.35065
Callahan, T. K.; Knobloch, E.
32
1999
Convective and absolute instabilities of fluid flows in finite geometry. Zbl 0962.76526
Tobias, S. M.; Proctor, M. R. E.; Knobloch, E.
31
1998
Nonlinear periodic convection in double-diffusive systems. Zbl 0478.76050
Knobloch, E.; Proctor, M. R. E.
30
1981
Thin liquid films on a slightly inclined heated plate. Zbl 1063.76032
Thiele, Uwe; Knobloch, Edgar
29
2004
Spatially localized binary-fluid convection. Zbl 1122.76029
Batiste, Oriol; Knobloch, Edgar; Alonso, Arantxa; Mercader, Isabel
28
2006
To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014
Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn
27
2010
Oscillations in double-diffusive convection. Zbl 0475.76047
Da Costa, L. N.; Knobloch, E.; Weiss, N. O.
24
1981
Bifurcations in fluctuating systems: The center-manifold approach. Zbl 0587.58033
Knobloch, E.; Wiesenfeld, K. A.
23
1983
Transitions to chaos in two-dimensional double-diffusive convection. Zbl 0612.76047
Knobloch, Edgar; Moore, Daniel R.; Toomre, Juri; Weiss, Nigel O.
22
1986
Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows. Zbl 1087.76043
Knobloch, Edgar
22
1996
Amplitude equations for travelling wave convection. Zbl 0717.35070
Knobloch, E.; De Luca, J.
22
1990
Hopf bifurcation on a square lattice. Zbl 0753.58021
Silber, Mary; Knobloch, Edgar
22
1991
The Takens-Bogdanov bifurcation with O(2)-symmetry. Zbl 0635.58032
Dangelmayr, G.; Knobloch, E.
20
1987
Pattern selection in long-wavelength convection. Zbl 0699.76056
Knobloch, E.
20
1990
Boundary conditions as symmetry constraints. Zbl 0735.35007
Crawford, J. D.; Golubitsky, M.; Gomes, M. G. M.; Knobloch, E.; Stewart, I. N.
20
1991
Shilnikov-Hopf bifurcation. Zbl 0786.34052
Hirschberg, P.; Knobloch, E.
20
1993
A new class of equations for rotationally constrained flows. Zbl 0923.76338
Julien, Keith; Knobloch, Edgar; Werne, Joseph
20
1998
Problems on time-varying domains: formulation, dynamics, and challenges. Zbl 1332.35004
Knobloch, E.; Krechetnikov, R.
19
2015
Symmetry and symmetry-breaking bifurcations in fluid dynamics. Zbl 0717.76007
Crawford, John David; Knobloch, Edgar
18
1991
Generalized quasi-geostrophy for spatially anisotropic rotationally constrained flows. Zbl 1090.76077
Julien, Keith; Knobloch, Edgar; Milliff, Ralph; Werne, Joseph
18
2006
When Shil’nikov meets Hopf in excitable systems. Zbl 1170.34025
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Sneyd, James
18
2007
New type of complex dynamics in the \(1:2\) spatial resonance. Zbl 0979.70017
Porter, J.; Knobloch, E.
18
2001
Hopf bifurcation with broken circular symmetry. Zbl 0731.58051
Dangelmayr, Gerhard; Knobloch, Edgar
17
1991
Reduced models for fluid flows with strong constraints. Zbl 1144.81362
Julien, Keith; Knobloch, Edgar
17
2007
The double Hopf bifurcation with 2:1 resonance. Zbl 0646.34042
Knobloch, E.; Proctor, M. R. E.
16
1988
Oscillatory and steady convection in a magnetic field. Zbl 0513.76078
Knobloch, E.; Weiss, N. O.; Da Costa, L. N.
16
1981
Dynamics of counterpropagating waves in parametrically forced systems. Zbl 0949.35019
Martel, Carlos; Knobloch, Edgar; Vega, José M.
16
2000
Pattern selection in three-dimensional magnetoconvection. Zbl 0816.35109
Clune, Thomas; Knobloch, Edgar
15
1994
Front and back instability of a liquid film on a slightly inclined plate. Zbl 1186.76522
Thiele, Uwe; Knobloch, Edgar
14
2003
Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio. Zbl 1029.76017
Vega, José M.; Knobloch, Edgar; Martel, Carlos
13
2001
Nonlinear convection in a rotating layer: Amplitude expansions and normal forms. Zbl 0527.76038
Guckenheimer, J.; Knobloch, E.
13
1983
On the modulational stability of traveling and standing water waves. Zbl 0830.76013
Pierce, R. D.; Knobloch, E.
13
1994
Rotating convection: recent developments. Zbl 1210.76077
Knobloch, Edgar
12
1998
Convection in a rotating cylinder. II: Linear theory for low Prandtl numbers. Zbl 0800.76142
Goldstein, H. F.; Knobloch, E.; Mercader, I.; Net, M.
12
1994
Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics. Zbl 0814.76048
Knobloch, Edgar; Mahalov, Alex; Marsden, Jerrold E.
12
1994
Robust heteroclinic cycles in two-dimensional Rayleigh-Bénard convection without Boussinesq symmetry. Zbl 1051.76023
Mercader, Isabel; Prat, Joana; Knobloch, Edgar
12
2002
Spatially localized states in natural doubly diffusive convection. Zbl 1182.76055
Bergeon, A.; Knobloch, E.
12
2008
Fully nonlinear three-dimensional convection in a rapidly rotating layer. Zbl 1147.76426
Julien, Keith; Knobloch, Edgar
11
1999
Strongly nonlinear convection cells in a rapidly rotating fluid layer: The tilted \(f\)-plane. Zbl 0922.76192
Julien, Keith; Knobloch, Edgar
11
1998
Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084
Golubitsky, M.; Knobloch, E.; Stewart, I.
11
2000
Symmetry-breaking bifurcations on cubic lattices. Zbl 0909.58007
Callahan, T. K.; Knobloch, E.
10
1997
Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. Zbl 1187.34056
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M.
10
2009
Convectons, anticonvectons and multiconvectons in binary fluid convection. Zbl 1225.76107
Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar
10
2011
The diffusion of scalar and vector fields by homogeneous stationary turbulence. Zbl 0372.76042
Knobloch, Edgar
10
1977
Pattern selection in ferrofluids. Zbl 0639.76055
Silber, Mary; Knobloch, Edgar
9
1988
Bifurcations in a model of magnetoconvection. Zbl 0583.76057
Knobloch, E.; Weiss, N. O.
9
1983
Bursts in oscillatory systems with broken \(D_4\) symmetry. Zbl 0941.34024
Moehlis, Jeff; Knobloch, Edgar
9
2000
Long-wave Marangoni instability with vibration. Zbl 1097.76028
Thiele, Uwe; Vega, José M.; Knobloch, Edgar
9
2006
Robust wall states in rapidly rotating Rayleigh-Bénard convection. Zbl 1460.76719
Favier, Benjamin; Knobloch, Edgar
9
2020
On degenerate Hopf bifurcation with broken O(2) symmetry. Zbl 0671.34040
Crawford, John David; Knobloch, Edgar
8
1988
Bifurcations in rotating systems. Zbl 0861.76089
Knobloch, E.
8
1994
Natural doubly diffusive convection in three-dimensional enclosures. Zbl 1185.76049
Bergeon, A.; Knobloch, E.
8
2002
Mode interactions in large aspect ratio convection. Zbl 0902.76035
Hirschberg, P.; Knobloch, E.
7
1997
Heteroclinic bifurcations in a simple model of double-diffusive convection. Zbl 0770.76061
Knobloch, E.; Proctor, M. R. E.; Weiss, N. O.
7
1992
Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection. Zbl 1076.35543
Martel, Carlos; Vega, José M.; Knobloch, Edgar
7
2003
An unfolding of the Takens-Bogdanov singularity. Zbl 0731.58049
Hirschberg, P.; Knobloch, E.
7
1991
Defect-mediated snaking: a new growth mechanism for localized structures. Zbl 1213.37033
Ma, Y.-P.; Burke, J.; Knobloch, E.
7
2010
Classification of spatially localized oscillations in periodically forced dissipative systems. Zbl 1168.35003
Burke, J.; Yochelis, A.; Knobloch, E.
7
2008
Oscillatory convection in a rotating layer. Zbl 0769.34029
Knobloch, E.; Silber, M.
7
1993
Multipulse states in the Swift-Hohenberg equation. Zbl 1184.70019
Burke, J.; Knobloch, Edgar
7
2009
Doubly diffusive waves. Zbl 0602.76092
Knobloch, Edgar; Deane, Anil E.; Toomre, Juri; Moore, Daniel R.
6
1986
Classification and unifolding of degenerate Hopf bifurcations with 0(2) symmetry: No distinguished parameter. Zbl 0649.34050
Crawford, John David; Knobloch, Edgar
6
1988
Complex dynamics in the 1:3 spatial resonance. Zbl 0980.34034
Porter, J.; Knobloch, E.
6
2000
A stochastic return map for stochastic differential equations. Zbl 0714.60044
Weiss, Jeffrey B.; Knobloch, Edgar
6
1990
Fully nonlinear oscillatory convection in a rotating layer. Zbl 1185.76594
Julien, Keith; Knobloch, Edgar
6
1997
Nonlinear doubly diffusive convection in vertical enclosures. Zbl 0945.35072
Bardan, G.; Bergeon, A.; Knobloch, E.; Mojtabi, A.
6
2000
Coupled amplitude-streaming flow equations for nearly inviscid Faraday waves in small aspect ratio containers. Zbl 1084.76510
Higuera, M.; Vega, J. M.; Knobloch, E.
6
2002
Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation. Zbl 0988.35155
Higuera, M.; Porter, J.; Knobloch, E.
6
2002
Three-dimensional Marangoni-Bénard flows in square and nearly square containers. Zbl 1184.76050
Bergeon, A.; Henry, D.; Knobloch, E.
6
2001
Stability of spiral chimera states on a torus. Zbl 1386.37047
Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar
6
2018
Subcritical turbulent condensate in rapidly rotating Rayleigh-Bénard convection. Zbl 1415.76269
Favier, Benjamin; Guervilly, Céline; Knobloch, Edgar
6
2019
Transonic canards and stellar wind. Zbl 1377.34075
Carter, Paul; Knobloch, Edgar; Wechselberger, Martin
6
2017
A nonlinear model for rotationally constrained convection with Ekman pumping. Zbl 1422.76165
Julien, Keith; Aurnou, Jonathan M.; Calkins, Michael A.; Knobloch, Edgar; Marti, Philippe; Stellmach, Stephan; Vasil, Geoffrey M.
6
2016
The long-wave instability of a defect in a uniform parallel shear. Zbl 0642.76059
Lerner, J.; Knobloch, E.
5
1988
A robust heteroclinic cycle in an \(O(2)\times Z_2\) steady-state mode interaction. Zbl 0897.58034
Hirschberg, P.; Knobloch, E.
5
1998
Period-doubling mode interactions with circular symmetry. Zbl 0705.58037
Crawford, John David; Knoblauch, Edgar; Riecke, Hermann
5
1990
Hopf bifurcation with \(Z_ 4 \times{}T^ 2\) symmetry. Zbl 0767.34023
Knobloch, E.; Silber, M.
5
1992
Mean flow suppression by endwalls in oscillatory binary fluid convection. Zbl 0787.76021
Clune, Thomas; Knobloch, Edgar
5
1992
Complex dynamics in the Hopf bifurcation with broken translation symmetry. Zbl 0891.34044
Hirschberg, P.; Knobloch, E.
5
1996
Dynamics of nearly inviscid Faraday waves in almost circular containers. Zbl 1143.76428
Higuera, M.; Knobloch, E.; Vega, J. M.
5
2005
Dynamics in the 1:2 spatial resonance with broken reflection symmetry. Zbl 1082.37054
Porter, J.; Knobloch, E.
5
2005
Mode interaction in rotating Rayleigh–Bénard convection. Zbl 1060.76549
Rüdiger, Sten; Knobloch, Edgar
5
2003
Normal form for spatial dynamics in the swift-hohenberg equation. Zbl 1163.37394
Burke, John; Knobloch, Edgar
5
2007
On the stability of stratified plane Couette flow. Zbl 0598.76045
Knobloch, E.
5
1984
Noise-sustained structures due to convective instability in finite domains. Zbl 0963.35164
Proctor, M. R. E.; Tobias, S. M.; Knobloch, E.
4
2000
Zigzag and varicose instabilities of a localized stripe. Zbl 1055.37569
Hirschberg, P.; Knobloch, E.
4
1993
Dynamo waves in semi-infinite and finite domains. Zbl 0877.76084
Worledge, Daniel; Knobloch, Edgar; Tobias, Steven; Proctor, Michael
4
1997
Evolution equations for counterpropagating edge waves. Zbl 0842.76006
Pierce, R. D.; Knobloch, E.
4
1994
Strongly nonlinear magnetoconvection in three dimensions. Zbl 0944.76095
Julien, Keith; Knobloch, Edgar; Tobias, Steve
4
1999
Nonlinear magnetoconvection in the presence of strong oblique fields. Zbl 1043.76022
Julien, K.; Knobloch, E.; Tobias, S. M.
4
2000
The 1:2 mode interaction in Rayleigh-Bénard convection with and without Boussinesq symmetry. Zbl 1051.76556
Prat, Joana; Mercader, Isabel; Knobloch, Edgar
4
2002
Periodic and localized states in natural doubly diffusive convection. Zbl 1138.76039
Bergeon, A.; Knobloch, E.
4
2008
Magnetorotational instability: recent developments. Zbl 1192.76068
Julien, Keith; Knobloch, Edgar
4
2010
Robust wall states in rapidly rotating Rayleigh-Bénard convection. Zbl 1460.76719
Favier, Benjamin; Knobloch, Edgar
9
2020
Subcritical turbulent condensate in rapidly rotating Rayleigh-Bénard convection. Zbl 1415.76269
Favier, Benjamin; Guervilly, Céline; Knobloch, Edgar
6
2019
Stability of spiral chimera states on a torus. Zbl 1386.37047
Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar
6
2018
Three-dimensional doubly diffusive convectons: instability and transition to complex dynamics. Zbl 1419.76214
Beaume, Cédric; Bergeon, Alain; Knobloch, Edgar
3
2018
Impact of domain anisotropy on the inverse cascade in geostrophic turbulent convection. Zbl 1419.76586
Julien, Keith; Knobloch, Edgar; Plumley, Meredith
2
2018
Spatially localized structures in the Gray-Scott model. Zbl 1425.35099
Gandhi, Punit; Zelnik, Yuval R.; Knobloch, Edgar
2
2018
Transonic canards and stellar wind. Zbl 1377.34075
Carter, Paul; Knobloch, Edgar; Wechselberger, Martin
6
2017
Chaos in the Takens-Bogdanov bifurcation with \(\mathrm{O}(2)\) symmetry. Zbl 1457.37069
Rucklidge, A. M.; Knobloch, E.
4
2017
Stability on time-dependent domains: convective and dilution effects. Zbl 1378.35030
Krechetnikov, R.; Knobloch, E.
1
2017
Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system. Zbl 1404.35249
Avitabile, D.; Desroches, M.; Knobloch, E.; Krupa, M.
1
2017
A nonlinear model for rotationally constrained convection with Ekman pumping. Zbl 1422.76165
Julien, Keith; Aurnou, Jonathan M.; Calkins, Michael A.; Knobloch, Edgar; Marti, Philippe; Stellmach, Stephan; Vasil, Geoffrey M.
6
2016
Two-dimensional localized structures in harmonically forced oscillatory systems. Zbl 1376.35095
Ma, Y.-P.; Knobloch, E.
1
2016
Localized structures and front propagation in systems with a conservation law. Zbl 1404.35037
Knobloch, E.
1
2016
Problems on time-varying domains: formulation, dynamics, and challenges. Zbl 1332.35004
Knobloch, E.; Krechetnikov, R.
19
2015
A new resonance mechanism in the Swift-Hohenberg equation with time-periodic forcing. Zbl 1316.35030
Gandhi, Punit; Beaume, Cédric; Knobloch, Edgar
3
2015
Dynamic patterns in the reduced Craik-Leibovich equations. Zbl 1326.76084
Zhang, Zhexuan; Chini, Gregory P.; Julien, Keith; Knobloch, Edgar
3
2015
Stability on time-dependent domains. Zbl 1302.70057
Knobloch, E.; Krechetnikov, R.
3
2014
Convectons in a rotating fluid layer. Zbl 1284.76139
Beaume, Cédric; Bergeon, Alain; Kao, Hsien-Ching; Knobloch, Edgar
4
2013
Travelling convectons in binary fluid convection. Zbl 1287.76105
Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar
4
2013
Three-dimensional spatially localized binary-fluid convection in a porous medium. Zbl 1291.76295
Lo Jacono, David; Bergeon, Alain; Knobloch, Edgar
3
2013
Instabilities and dynamics of weakly subcritical patterns. Zbl 1294.35151
Kao, H.-C; Knobloch, E.
1
2013
Depinning, front motion, and phase slips. Zbl 1319.35251
Ma, Y.-P.; Knobloch, E.
3
2012
Spatially localized magnetoconvection. Zbl 1309.76221
Lo Jacono, D.; Bergeon, A.; Knobloch, E.
2
2012
Convectons, anticonvectons and multiconvectons in binary fluid convection. Zbl 1225.76107
Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar
10
2011
Magnetohydrodynamic convectons. Zbl 1241.76454
Lo Jacono, David; Bergeon, Alain; Knobloch, Edgar
4
2011
To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014
Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn
27
2010
Defect-mediated snaking: a new growth mechanism for localized structures. Zbl 1213.37033
Ma, Y.-P.; Burke, J.; Knobloch, E.
7
2010
Magnetorotational instability: recent developments. Zbl 1192.76068
Julien, Keith; Knobloch, Edgar
4
2010
Transient spatio-temporal chaos in the complex Ginzburg-Landau equation on long domains. Zbl 1236.35178
Houghton, S. M.; Knobloch, E.; Tobias, S. M.; Proctor, M. R. E.
4
2010
Convectons in periodic and bounded domains. Zbl 1423.76125
Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar
3
2010
Spatially localized binary fluid convection in a porous medium. Zbl 1190.76077
Lo Jacono, D.; Bergeon, A.; Knobloch, E.
3
2010
Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. Zbl 1187.34056
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M.
10
2009
Multipulse states in the Swift-Hohenberg equation. Zbl 1184.70019
Burke, J.; Knobloch, Edgar
7
2009
Heteroclinic dynamics in a model of Faraday waves in a square container. Zbl 1181.37089
Moehlis, Jeff; Porter, Jeff; Knobloch, Edgar
2
2009
Bistability in the complex Ginzburg-Landau equation with drift. Zbl 1173.35352
Houghton, S. M.; Tobias, S. M.; Knobloch, E.; Proctor, M. R. E.
1
2009
Spatially localized structures in dissipative systems: open problems. Zbl 1139.35002
Knobloch, E.
33
2008
Spatially localized states in natural doubly diffusive convection. Zbl 1182.76055
Bergeon, A.; Knobloch, E.
12
2008
Classification of spatially localized oscillations in periodically forced dissipative systems. Zbl 1168.35003
Burke, J.; Yochelis, A.; Knobloch, E.
7
2008
Periodic and localized states in natural doubly diffusive convection. Zbl 1138.76039
Bergeon, A.; Knobloch, E.
4
2008
Spatially localized states in Marangoni convection in binary mixtures. Zbl 1148.76024
Assemat, P.; Bergeon, A.; Knobloch, E.
3
2008
Homoclinic snaking: Structure and stability. Zbl 1163.37317
Burke, John; Knobloch, Edgar
50
2007
When Shil’nikov meets Hopf in excitable systems. Zbl 1170.34025
Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Sneyd, James
18
2007
Reduced models for fluid flows with strong constraints. Zbl 1144.81362
Julien, Keith; Knobloch, Edgar
17
2007
Normal form for spatial dynamics in the swift-hohenberg equation. Zbl 1163.37394
Burke, John; Knobloch, Edgar
5
2007
Nonlinear Marangoni convection in circular and elliptical cylinders. Zbl 1182.76034
Assemat, P.; Bergeon, A.; Knobloch, E.
2
2007
Snakes and ladders: localized states in the Swift-Hohenberg equation. Zbl 1236.35144
Burke, John; Knobloch, Edgar
53
2006
Numerical simulation of an asymptotically reduced system for rotationally constrained convection. Zbl 1119.76057
Sprague, Michael; Julien, Keith; Knobloch, Edgar; Werne, Joseph
34
2006
Spatially localized binary-fluid convection. Zbl 1122.76029
Batiste, Oriol; Knobloch, Edgar; Alonso, Arantxa; Mercader, Isabel
28
2006
Generalized quasi-geostrophy for spatially anisotropic rotationally constrained flows. Zbl 1090.76077
Julien, Keith; Knobloch, Edgar; Milliff, Ralph; Werne, Joseph
18
2006
Long-wave Marangoni instability with vibration. Zbl 1097.76028
Thiele, Uwe; Vega, José M.; Knobloch, Edgar
9
2006
Dynamics of nearly inviscid Faraday waves in almost circular containers. Zbl 1143.76428
Higuera, M.; Knobloch, E.; Vega, J. M.
5
2005
Dynamics in the 1:2 spatial resonance with broken reflection symmetry. Zbl 1082.37054
Porter, J.; Knobloch, E.
5
2005
Long dynamo waves. Zbl 1089.35062
Mason, Joanne; Knobloch, Edgar
3
2005
Simulations of oscillatory convection in \({}^3\text{He}--{}^4\text{He}\) mixtures in moderate aspect ratio containers. Zbl 1187.76039
Batiste, Oriol; Knobloch, Edgar
2
2005
Saturation of the magnetorotational instability. Zbl 1187.76278
Knobloch, Edgar; Julien, Keith
1
2005
Thin liquid films on a slightly inclined heated plate. Zbl 1063.76032
Thiele, Uwe; Knobloch, Edgar
29
2004
Front and back instability of a liquid film on a slightly inclined plate. Zbl 1186.76522
Thiele, Uwe; Knobloch, Edgar
14
2003
Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection. Zbl 1076.35543
Martel, Carlos; Vega, José M.; Knobloch, Edgar
7
2003
Mode interaction in rotating Rayleigh–Bénard convection. Zbl 1060.76549
Rüdiger, Sten; Knobloch, Edgar
5
2003
Oscillatory marangoni convection in binary mixtures in square and nearly square containers. Zbl 1186.76054
Bergeon, A.; Knobloch, E.
3
2003
Oscillatory binary fluid convection in finite containers. Zbl 1132.92345
Batiste, Oriol; Knobloch, Edgar
1
2003
Robust heteroclinic cycles in two-dimensional Rayleigh-Bénard convection without Boussinesq symmetry. Zbl 1051.76023
Mercader, Isabel; Prat, Joana; Knobloch, Edgar
12
2002
Natural doubly diffusive convection in three-dimensional enclosures. Zbl 1185.76049
Bergeon, A.; Knobloch, E.
8
2002
Coupled amplitude-streaming flow equations for nearly inviscid Faraday waves in small aspect ratio containers. Zbl 1084.76510
Higuera, M.; Vega, J. M.; Knobloch, E.
6
2002
Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation. Zbl 0988.35155
Higuera, M.; Porter, J.; Knobloch, E.
6
2002
The 1:2 mode interaction in Rayleigh-Bénard convection with and without Boussinesq symmetry. Zbl 1051.76556
Prat, Joana; Mercader, Isabel; Knobloch, Edgar
4
2002
Nearly inviscid Faraday waves. Zbl 1006.76025
Knobloch, Edgar; Vega, José M.
1
2002
New type of complex dynamics in the \(1:2\) spatial resonance. Zbl 0979.70017
Porter, J.; Knobloch, E.
18
2001
Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio. Zbl 1029.76017
Vega, José M.; Knobloch, Edgar; Martel, Carlos
13
2001
Three-dimensional Marangoni-Bénard flows in square and nearly square containers. Zbl 1184.76050
Bergeon, A.; Henry, D.; Knobloch, E.
6
2001
Wrinkled tori and bursts due to resonant temporal forcing. Zbl 1020.37030
Moehlis, Jeff; Knobloch, Edgar
1
2001
Interaction of nearly-inviscid, multi-mode Faraday waves and mean flows. Zbl 1056.76511
Higuera, María J.; Vega, José M.; Knobloch, Edgar
1
2001
Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057
Golubitsky, M.; Knobloch, E.
92
2000
Dynamics of counterpropagating waves in parametrically forced systems. Zbl 0949.35019
Martel, Carlos; Knobloch, Edgar; Vega, José M.
16
2000
Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084
Golubitsky, M.; Knobloch, E.; Stewart, I.
11
2000
Bursts in oscillatory systems with broken \(D_4\) symmetry. Zbl 0941.34024
Moehlis, Jeff; Knobloch, Edgar
9
2000
Complex dynamics in the 1:3 spatial resonance. Zbl 0980.34034
Porter, J.; Knobloch, E.
6
2000
Nonlinear doubly diffusive convection in vertical enclosures. Zbl 0945.35072
Bardan, G.; Bergeon, A.; Knobloch, E.; Mojtabi, A.
6
2000
Noise-sustained structures due to convective instability in finite domains. Zbl 0963.35164
Proctor, M. R. E.; Tobias, S. M.; Knobloch, E.
4
2000
Nonlinear magnetoconvection in the presence of strong oblique fields. Zbl 1043.76022
Julien, K.; Knobloch, E.; Tobias, S. M.
4
2000
Burst mechanisms in hydrodynamics. Zbl 0995.76026
Knobloch, E.; Moehlis, J.
2
2000
Pattern formation in three-dimensional reaction-diffusion systems. Zbl 0935.35065
Callahan, T. K.; Knobloch, E.
32
1999
Fully nonlinear three-dimensional convection in a rapidly rotating layer. Zbl 1147.76426
Julien, Keith; Knobloch, Edgar
11
1999
Strongly nonlinear magnetoconvection in three dimensions. Zbl 0944.76095
Julien, Keith; Knobloch, Edgar; Tobias, Steve
4
1999
Bursting mechanisms for hydrodynamical systems. Zbl 0981.76035
Knobloch, E.; Moehlis, J.
3
1999
Convective and absolute instabilities of fluid flows in finite geometry. Zbl 0962.76526
Tobias, S. M.; Proctor, M. R. E.; Knobloch, E.
31
1998
A new class of equations for rotationally constrained flows. Zbl 0923.76338
Julien, Keith; Knobloch, Edgar; Werne, Joseph
20
1998
Rotating convection: recent developments. Zbl 1210.76077
Knobloch, Edgar
12
1998
Strongly nonlinear convection cells in a rapidly rotating fluid layer: The tilted \(f\)-plane. Zbl 0922.76192
Julien, Keith; Knobloch, Edgar
11
1998
A robust heteroclinic cycle in an \(O(2)\times Z_2\) steady-state mode interaction. Zbl 0897.58034
Hirschberg, P.; Knobloch, E.
5
1998
On mean flows associated with traveling water waves. Zbl 1051.76514
Knobloch, E.; Pierce, R. D.
2
1998
Symmetry-breaking bifurcations on cubic lattices. Zbl 0909.58007
Callahan, T. K.; Knobloch, E.
10
1997
Mode interactions in large aspect ratio convection. Zbl 0902.76035
Hirschberg, P.; Knobloch, E.
7
1997
Fully nonlinear oscillatory convection in a rotating layer. Zbl 1185.76594
Julien, Keith; Knobloch, Edgar
6
1997
Dynamo waves in semi-infinite and finite domains. Zbl 0877.76084
Worledge, Daniel; Knobloch, Edgar; Tobias, Steven; Proctor, Michael
4
1997
Parity-breaking bifurcation in inhomogeneous systems. Zbl 0995.34027
Dangelmayr, G.; Hettel, J.; Knobloch, E.
3
1997
Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows. Zbl 1087.76043
Knobloch, Edgar
22
1996
Complex dynamics in the Hopf bifurcation with broken translation symmetry. Zbl 0891.34044
Hirschberg, P.; Knobloch, E.
5
1996
System symmetry breaking and Shil’nikov dynamics. Zbl 0849.58015
Knobloch, Edgar
3
1996
On the transition to columnar convection. Zbl 1027.76548
Alonso, Arantxa; Net, Marta; Knobloch, Edgar
3
1995
...and 51 more Documents
all top 5

Cited by 1,434 Authors

75 Knobloch, Edgar
19 Ha, Seung-Yeal
17 Julien, Keith A.
15 Sandstede, Björn
14 Vega, José Manuel
13 Nepomnyashchy, Alexander A.
12 Bergeon, Alain
11 Stewart, Ian Nicholas
10 Park, Hansol
10 Thiele, Uwe
9 López, Juan Manuel
9 Marques, Francisco
9 Mercader, Isabel
9 Proctor, Michael Richard Edward
8 Carter, Paul M.
8 Chomaz, Jean-Marc
8 Laing, Carlo R.
8 Miranville, Alain M.
8 Tobias, Steven M.
7 Batiste, Oriol
7 Golovin, Alexander A.
7 Golubitsky, Martin A.
7 Kühn, Christian
7 Kunnen, Rudie P. J.
7 Lloyd, David J. B.
7 Martel, Carlos
7 Moroz, Irene M.
7 Rucklidge, Alastair M.
7 Zhang, Keke
6 Alonso, Arantxa
6 Ashwin, Peter
6 Aurnou, Jonathan M.
6 Champneys, Alan R.
6 Cherfils, Laurence
6 Clercx, Herman J. H.
6 Dangelmayr, Gerhard
6 Fakih, Hussein
6 Kalliadasis, Serafim
6 Kirk, Vivien
6 Marsden, Jerrold Eldon
6 Moehlis, Jeff
6 Oron, Alexander
6 Porter, Jeff
6 Rademacher, Jens Diederich Michael
6 Renardy, Yuriko Yamamuro
6 Schneider, Tobias M.
6 Ward, Michael J.
5 Avitabile, Daniele
5 Calkins, Michael A.
5 Daviaud, François
5 Dawes, Jonathan H. P.
5 Doelman, Arjen
5 Higuera, María J.
5 Holmes, Philip J.
5 Liao, Xinhao
5 Meron, Ehud
5 Rodríguez-Luis, Alejandro J.
5 Silber, Mary
4 Abshagen, J.
4 Alexakis, Alexandros
4 Beaume, Cédric
4 Bramburger, Jason J.
4 Chiffaudel, Arnaud
4 Chossat, Pascal
4 Couairon, Arnaud
4 Gaeta, Giuseppe
4 Guckenheimer, John M.
4 Herrero, Henar
4 Hirschberg, P.
4 Iima, Makoto
4 Kim, Dohyun
4 Knobloch, Jürgen
4 Krauskopf, Bernd
4 Marti, Philippe
4 Net, Marta
4 Oprea, Iuliana
4 Pfister, Gerd
4 Podvigina, Ol’ga Mikhaĭlovna
4 Rubio, Antonio M.
4 Scheel, Arnd
4 Schwartz, Ira Bruce
4 Sherratt, Jonathan A.
4 Shim, Woojoo
4 Shivakumara, I. S.
4 Shklyaev, Sergey V.
4 Stellmach, Stephan
4 Sun, Chunyou
4 Terragni, Filippo
4 Tseluiko, Dmitri
4 Weiss, Nigel O.
4 Yochelis, Arik
3 Algaba, Antonio
3 Bernoff, Andrew J.
3 Bick, Christian
3 Breña-Medina, Víctor F.
3 Bridges, Thomas J.
3 Busse, Friedrich Hermann
3 Cao, Chongsheng
3 Castro, Sofia B. S. D.
3 Chini, Gregory P.
...and 1,334 more Authors
all top 5

Cited in 145 Serials

147 Journal of Fluid Mechanics
128 Physica D
86 Chaos
73 Physics of Fluids
33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
28 SIAM Journal on Applied Dynamical Systems
18 Geophysical and Astrophysical Fluid Dynamics
18 Journal of Nonlinear Science
15 Journal of Statistical Physics
15 Journal of Differential Equations
14 European Journal of Mechanics. B. Fluids
12 Nonlinearity
11 Journal of Mathematical Physics
11 Communications in Nonlinear Science and Numerical Simulation
10 Nonlinear Dynamics
8 Journal of Mathematical Analysis and Applications
8 Journal of Dynamics and Differential Equations
7 Archive for Rational Mechanics and Analysis
7 Bulletin of Mathematical Biology
7 Theoretical and Computational Fluid Dynamics
7 Applied Mathematics and Computation
7 Dynamical Systems
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Journal of Mathematical Biology
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 SIAM Journal on Mathematical Analysis
6 Discrete and Continuous Dynamical Systems. Series B
5 Fluid Dynamics
5 Journal of Computational Physics
5 Journal of Engineering Mathematics
5 Chaos, Solitons and Fractals
5 Studies in Applied Mathematics
5 Applied Mathematics Letters
5 Dynamics and Stability of Systems
5 New Journal of Physics
5 Journal of Statistical Mechanics: Theory and Experiment
4 Computers and Fluids
4 Communications in Mathematical Physics
4 Physics of Fluids, A
4 Quarterly of Applied Mathematics
4 Acta Applicandae Mathematicae
4 SIAM Journal on Applied Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Journal of Theoretical Biology
3 Acta Mechanica
3 Applicable Analysis
3 Physics Reports
3 Meccanica
3 Applied Mathematical Modelling
3 Discrete and Continuous Dynamical Systems
3 Abstract and Applied Analysis
3 Journal of Applied Mechanics and Technical Physics
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Nonlinear Analysis. Real World Applications
3 Networks and Heterogeneous Media
2 International Journal of Modern Physics B
2 International Journal for Numerical Methods in Fluids
2 Reviews of Modern Physics
2 Journal of Pure and Applied Algebra
2 Transactions of the American Mathematical Society
2 Applied Mathematics and Mechanics. (English Edition)
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 International Journal of Computer Mathematics
2 Journal of Non-Equilibrium Thermodynamics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Mathematical Sciences (New York)
2 Stochastics and Dynamics
2 Journal of Physics A: Mathematical and Theoretical
2 Mathematical Modelling of Natural Phenomena
2 Discrete and Continuous Dynamical Systems. Series S
2 The Journal of Mathematical Neuroscience
2 Nonlinear Analysis. Theory, Methods & Applications
1 Astrophysics and Space Science
1 Computers & Mathematics with Applications
1 General Relativity and Gravitation
1 International Journal of Control
1 International Journal of Engineering Science
1 International Journal of Heat and Mass Transfer
1 International Journal of Theoretical Physics
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Mechanics and Physics of Solids
1 Letters in Mathematical Physics
1 Mathematical Biosciences
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 Wave Motion
1 Calcolo
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Numerical Functional Analysis and Optimization
1 Ricerche di Matematica
1 Chinese Annals of Mathematics. Series B
1 Probability Theory and Related Fields
1 Computational Mechanics
1 Asymptotic Analysis
1 Science in China. Series A
1 Proceedings of the National Academy of Sciences of the United States of America
...and 45 more Serials
all top 5

Cited in 38 Fields

428 Fluid mechanics (76-XX)
256 Partial differential equations (35-XX)
227 Dynamical systems and ergodic theory (37-XX)
211 Ordinary differential equations (34-XX)
97 Biology and other natural sciences (92-XX)
59 Classical thermodynamics, heat transfer (80-XX)
51 Numerical analysis (65-XX)
36 Statistical mechanics, structure of matter (82-XX)
28 Geophysics (86-XX)
26 Mechanics of particles and systems (70-XX)
23 Probability theory and stochastic processes (60-XX)
19 Astronomy and astrophysics (85-XX)
18 Mechanics of deformable solids (74-XX)
15 Global analysis, analysis on manifolds (58-XX)
13 Systems theory; control (93-XX)
12 Quantum theory (81-XX)
10 Computer science (68-XX)
9 Optics, electromagnetic theory (78-XX)
6 Operator theory (47-XX)
5 Combinatorics (05-XX)
5 Integral equations (45-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Information and communication theory, circuits (94-XX)
4 Difference and functional equations (39-XX)
3 Differential geometry (53-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Convex and discrete geometry (52-XX)
1 Algebraic geometry (14-XX)
1 Functional analysis (46-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.