Edit Profile Knobloch, Edgar Compute Distance To: Compute Author ID: 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 all top 5 Serials 37 Physica D 27 Journal of Fluid Mechanics 16 Physics of Fluids 9 Nonlinearity 7 Fluid Dynamics Research 7 SIAM Journal on Applied Dynamical Systems 6 Geophysical and Astrophysical Fluid Dynamics 4 Journal of Nonlinear Science 4 Chaos 3 Astronomy and Astrophysics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Statistical Physics 2 Physics Letters. A 2 Theoretical and Computational Fluid Dynamics 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 2 Discrete and Continuous Dynamical Systems 2 Dynamical Systems 1 Applied Scientific Research 1 Astronomische Nachrichten 1 Astrophysics and Space Science 1 IMA Journal of Applied Mathematics 1 International Journal of Engineering Science 1 Journal of Mathematical Physics 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Quarterly of Applied Mathematics 1 Acta Applicandae Mathematicae 1 SIAM Review 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 116 Fluid mechanics (76-XX) 51 Dynamical systems and ergodic theory (37-XX) 41 Partial differential equations (35-XX) 27 Ordinary differential equations (34-XX) 14 Astronomy and astrophysics (85-XX) 11 Classical thermodynamics, heat transfer (80-XX) 6 Mechanics of particles and systems (70-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Geophysics (86-XX) 4 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 0956.00057Golubitsky, M. (ed.); Knobloch, E. (ed.) 92 2000 Snakes and ladders: localized states in the Swift-Hohenberg equation. Zbl 1236.35144Burke, John; Knobloch, Edgar 53 2006 Homoclinic snaking: Structure and stability. Zbl 1163.37317Burke, John; Knobloch, Edgar 50 2007 Symmetries and pattern selection in Rayleigh-Bénard convection. Zbl 0599.76098Golubitsky, M.; Swift, J. W.; Knobloch, E. 50 1984 Convection in a rotating cylinder. I: Linear theory for moderate Prandtl numbers. Zbl 0796.76037Goldstein, H. F.; Knobloch, E.; Mercader, I.; Net, M. 34 1993 Numerical simulation of an asymptotically reduced system for rotationally constrained convection. Zbl 1119.76057Sprague, Michael; Julien, Keith; Knobloch, Edgar; Werne, Joseph 34 2006 Spatially localized structures in dissipative systems: open problems. Zbl 1139.35002Knobloch, E. 33 2008 Pattern formation in three-dimensional reaction-diffusion systems. Zbl 0935.35065Callahan, T. K.; Knobloch, E. 32 1999 Convective and absolute instabilities of fluid flows in finite geometry. Zbl 0962.76526Tobias, S. M.; Proctor, M. R. E.; Knobloch, E. 31 1998 Nonlinear periodic convection in double-diffusive systems. Zbl 0478.76050Knobloch, E.; Proctor, M. R. E. 30 1981 Thin liquid films on a slightly inclined heated plate. Zbl 1063.76032Thiele, Uwe; Knobloch, Edgar 29 2004 Spatially localized binary-fluid convection. Zbl 1122.76029Batiste, Oriol; Knobloch, Edgar; Alonso, Arantxa; Mercader, Isabel 28 2006 To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn 27 2010 Oscillations in double-diffusive convection. Zbl 0475.76047Da Costa, L. N.; Knobloch, E.; Weiss, N. O. 24 1981 Bifurcations in fluctuating systems: The center-manifold approach. Zbl 0587.58033Knobloch, E.; Wiesenfeld, K. A. 23 1983 Transitions to chaos in two-dimensional double-diffusive convection. Zbl 0612.76047Knobloch, Edgar; Moore, Daniel R.; Toomre, Juri; Weiss, Nigel O. 22 1986 Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows. Zbl 1087.76043Knobloch, Edgar 22 1996 Amplitude equations for travelling wave convection. Zbl 0717.35070Knobloch, E.; De Luca, J. 22 1990 Hopf bifurcation on a square lattice. Zbl 0753.58021Silber, Mary; Knobloch, Edgar 22 1991 The Takens-Bogdanov bifurcation with O(2)-symmetry. Zbl 0635.58032Dangelmayr, G.; Knobloch, E. 20 1987 Pattern selection in long-wavelength convection. Zbl 0699.76056Knobloch, E. 20 1990 Boundary conditions as symmetry constraints. Zbl 0735.35007Crawford, J. D.; Golubitsky, M.; Gomes, M. G. M.; Knobloch, E.; Stewart, I. N. 20 1991 Shilnikov-Hopf bifurcation. Zbl 0786.34052Hirschberg, P.; Knobloch, E. 20 1993 A new class of equations for rotationally constrained flows. Zbl 0923.76338Julien, Keith; Knobloch, Edgar; Werne, Joseph 20 1998 Problems on time-varying domains: formulation, dynamics, and challenges. Zbl 1332.35004Knobloch, E.; Krechetnikov, R. 19 2015 Symmetry and symmetry-breaking bifurcations in fluid dynamics. Zbl 0717.76007Crawford, John David; Knobloch, Edgar 18 1991 Generalized quasi-geostrophy for spatially anisotropic rotationally constrained flows. Zbl 1090.76077Julien, Keith; Knobloch, Edgar; Milliff, Ralph; Werne, Joseph 18 2006 When Shil’nikov meets Hopf in excitable systems. Zbl 1170.34025Champneys, 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 0979.70017Porter, J.; Knobloch, E. 18 2001 Hopf bifurcation with broken circular symmetry. Zbl 0731.58051Dangelmayr, Gerhard; Knobloch, Edgar 17 1991 Reduced models for fluid flows with strong constraints. Zbl 1144.81362Julien, Keith; Knobloch, Edgar 17 2007 The double Hopf bifurcation with 2:1 resonance. Zbl 0646.34042Knobloch, E.; Proctor, M. R. E. 16 1988 Oscillatory and steady convection in a magnetic field. Zbl 0513.76078Knobloch, E.; Weiss, N. O.; Da Costa, L. N. 16 1981 Dynamics of counterpropagating waves in parametrically forced systems. Zbl 0949.35019Martel, Carlos; Knobloch, Edgar; Vega, José M. 16 2000 Pattern selection in three-dimensional magnetoconvection. Zbl 0816.35109Clune, Thomas; Knobloch, Edgar 15 1994 Front and back instability of a liquid film on a slightly inclined plate. Zbl 1186.76522Thiele, Uwe; Knobloch, Edgar 14 2003 Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio. Zbl 1029.76017Vega, José M.; Knobloch, Edgar; Martel, Carlos 13 2001 Nonlinear convection in a rotating layer: Amplitude expansions and normal forms. Zbl 0527.76038Guckenheimer, J.; Knobloch, E. 13 1983 On the modulational stability of traveling and standing water waves. Zbl 0830.76013Pierce, R. D.; Knobloch, E. 13 1994 Rotating convection: recent developments. Zbl 1210.76077Knobloch, Edgar 12 1998 Convection in a rotating cylinder. II: Linear theory for low Prandtl numbers. Zbl 0800.76142Goldstein, H. F.; Knobloch, E.; Mercader, I.; Net, M. 12 1994 Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics. Zbl 0814.76048Knobloch, Edgar; Mahalov, Alex; Marsden, Jerrold E. 12 1994 Robust heteroclinic cycles in two-dimensional Rayleigh-Bénard convection without Boussinesq symmetry. Zbl 1051.76023Mercader, Isabel; Prat, Joana; Knobloch, Edgar 12 2002 Spatially localized states in natural doubly diffusive convection. Zbl 1182.76055Bergeon, A.; Knobloch, E. 12 2008 Fully nonlinear three-dimensional convection in a rapidly rotating layer. Zbl 1147.76426Julien, Keith; Knobloch, Edgar 11 1999 Strongly nonlinear convection cells in a rapidly rotating fluid layer: The tilted \(f\)-plane. Zbl 0922.76192Julien, Keith; Knobloch, Edgar 11 1998 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084Golubitsky, M.; Knobloch, E.; Stewart, I. 11 2000 Symmetry-breaking bifurcations on cubic lattices. Zbl 0909.58007Callahan, T. K.; Knobloch, E. 10 1997 Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. Zbl 1187.34056Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M. 10 2009 Convectons, anticonvectons and multiconvectons in binary fluid convection. Zbl 1225.76107Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar 10 2011 The diffusion of scalar and vector fields by homogeneous stationary turbulence. Zbl 0372.76042Knobloch, Edgar 10 1977 Pattern selection in ferrofluids. Zbl 0639.76055Silber, Mary; Knobloch, Edgar 9 1988 Bifurcations in a model of magnetoconvection. Zbl 0583.76057Knobloch, E.; Weiss, N. O. 9 1983 Bursts in oscillatory systems with broken \(D_4\) symmetry. Zbl 0941.34024Moehlis, Jeff; Knobloch, Edgar 9 2000 Long-wave Marangoni instability with vibration. Zbl 1097.76028Thiele, Uwe; Vega, José M.; Knobloch, Edgar 9 2006 Robust wall states in rapidly rotating Rayleigh-Bénard convection. Zbl 1460.76719Favier, Benjamin; Knobloch, Edgar 9 2020 On degenerate Hopf bifurcation with broken O(2) symmetry. Zbl 0671.34040Crawford, John David; Knobloch, Edgar 8 1988 Bifurcations in rotating systems. Zbl 0861.76089Knobloch, E. 8 1994 Natural doubly diffusive convection in three-dimensional enclosures. Zbl 1185.76049Bergeon, A.; Knobloch, E. 8 2002 Mode interactions in large aspect ratio convection. Zbl 0902.76035Hirschberg, P.; Knobloch, E. 7 1997 Heteroclinic bifurcations in a simple model of double-diffusive convection. Zbl 0770.76061Knobloch, E.; Proctor, M. R. E.; Weiss, N. O. 7 1992 Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection. Zbl 1076.35543Martel, Carlos; Vega, José M.; Knobloch, Edgar 7 2003 An unfolding of the Takens-Bogdanov singularity. Zbl 0731.58049Hirschberg, P.; Knobloch, E. 7 1991 Defect-mediated snaking: a new growth mechanism for localized structures. Zbl 1213.37033Ma, Y.-P.; Burke, J.; Knobloch, E. 7 2010 Classification of spatially localized oscillations in periodically forced dissipative systems. Zbl 1168.35003Burke, J.; Yochelis, A.; Knobloch, E. 7 2008 Oscillatory convection in a rotating layer. Zbl 0769.34029Knobloch, E.; Silber, M. 7 1993 Multipulse states in the Swift-Hohenberg equation. Zbl 1184.70019Burke, J.; Knobloch, Edgar 7 2009 Doubly diffusive waves. Zbl 0602.76092Knobloch, 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 0649.34050Crawford, John David; Knobloch, Edgar 6 1988 Complex dynamics in the 1:3 spatial resonance. Zbl 0980.34034Porter, J.; Knobloch, E. 6 2000 A stochastic return map for stochastic differential equations. Zbl 0714.60044Weiss, Jeffrey B.; Knobloch, Edgar 6 1990 Fully nonlinear oscillatory convection in a rotating layer. Zbl 1185.76594Julien, Keith; Knobloch, Edgar 6 1997 Nonlinear doubly diffusive convection in vertical enclosures. Zbl 0945.35072Bardan, 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 1084.76510Higuera, M.; Vega, J. M.; Knobloch, E. 6 2002 Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation. Zbl 0988.35155Higuera, M.; Porter, J.; Knobloch, E. 6 2002 Three-dimensional Marangoni-Bénard flows in square and nearly square containers. Zbl 1184.76050Bergeon, A.; Henry, D.; Knobloch, E. 6 2001 Stability of spiral chimera states on a torus. Zbl 1386.37047Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar 6 2018 Subcritical turbulent condensate in rapidly rotating Rayleigh-Bénard convection. Zbl 1415.76269Favier, Benjamin; Guervilly, Céline; Knobloch, Edgar 6 2019 Transonic canards and stellar wind. Zbl 1377.34075Carter, Paul; Knobloch, Edgar; Wechselberger, Martin 6 2017 A nonlinear model for rotationally constrained convection with Ekman pumping. Zbl 1422.76165Julien, 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 0642.76059Lerner, J.; Knobloch, E. 5 1988 A robust heteroclinic cycle in an \(O(2)\times Z_2\) steady-state mode interaction. Zbl 0897.58034Hirschberg, P.; Knobloch, E. 5 1998 Period-doubling mode interactions with circular symmetry. Zbl 0705.58037Crawford, John David; Knoblauch, Edgar; Riecke, Hermann 5 1990 Hopf bifurcation with \(Z_ 4 \times{}T^ 2\) symmetry. Zbl 0767.34023Knobloch, E.; Silber, M. 5 1992 Mean flow suppression by endwalls in oscillatory binary fluid convection. Zbl 0787.76021Clune, Thomas; Knobloch, Edgar 5 1992 Complex dynamics in the Hopf bifurcation with broken translation symmetry. Zbl 0891.34044Hirschberg, P.; Knobloch, E. 5 1996 Dynamics of nearly inviscid Faraday waves in almost circular containers. Zbl 1143.76428Higuera, M.; Knobloch, E.; Vega, J. M. 5 2005 Dynamics in the 1:2 spatial resonance with broken reflection symmetry. Zbl 1082.37054Porter, J.; Knobloch, E. 5 2005 Mode interaction in rotating Rayleigh–Bénard convection. Zbl 1060.76549Rüdiger, Sten; Knobloch, Edgar 5 2003 Normal form for spatial dynamics in the swift-hohenberg equation. Zbl 1163.37394Burke, John; Knobloch, Edgar 5 2007 On the stability of stratified plane Couette flow. Zbl 0598.76045Knobloch, E. 5 1984 Noise-sustained structures due to convective instability in finite domains. Zbl 0963.35164Proctor, M. R. E.; Tobias, S. M.; Knobloch, E. 4 2000 Zigzag and varicose instabilities of a localized stripe. Zbl 1055.37569Hirschberg, P.; Knobloch, E. 4 1993 Dynamo waves in semi-infinite and finite domains. Zbl 0877.76084Worledge, Daniel; Knobloch, Edgar; Tobias, Steven; Proctor, Michael 4 1997 Evolution equations for counterpropagating edge waves. Zbl 0842.76006Pierce, R. D.; Knobloch, E. 4 1994 Strongly nonlinear magnetoconvection in three dimensions. Zbl 0944.76095Julien, Keith; Knobloch, Edgar; Tobias, Steve 4 1999 Nonlinear magnetoconvection in the presence of strong oblique fields. Zbl 1043.76022Julien, K.; Knobloch, E.; Tobias, S. M. 4 2000 The 1:2 mode interaction in Rayleigh-Bénard convection with and without Boussinesq symmetry. Zbl 1051.76556Prat, Joana; Mercader, Isabel; Knobloch, Edgar 4 2002 Periodic and localized states in natural doubly diffusive convection. Zbl 1138.76039Bergeon, A.; Knobloch, E. 4 2008 Magnetorotational instability: recent developments. Zbl 1192.76068Julien, Keith; Knobloch, Edgar 4 2010 Robust wall states in rapidly rotating Rayleigh-Bénard convection. Zbl 1460.76719Favier, Benjamin; Knobloch, Edgar 9 2020 Subcritical turbulent condensate in rapidly rotating Rayleigh-Bénard convection. Zbl 1415.76269Favier, Benjamin; Guervilly, Céline; Knobloch, Edgar 6 2019 Stability of spiral chimera states on a torus. Zbl 1386.37047Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar 6 2018 Three-dimensional doubly diffusive convectons: instability and transition to complex dynamics. Zbl 1419.76214Beaume, Cédric; Bergeon, Alain; Knobloch, Edgar 3 2018 Impact of domain anisotropy on the inverse cascade in geostrophic turbulent convection. Zbl 1419.76586Julien, Keith; Knobloch, Edgar; Plumley, Meredith 2 2018 Spatially localized structures in the Gray-Scott model. Zbl 1425.35099Gandhi, Punit; Zelnik, Yuval R.; Knobloch, Edgar 2 2018 Transonic canards and stellar wind. Zbl 1377.34075Carter, Paul; Knobloch, Edgar; Wechselberger, Martin 6 2017 Chaos in the Takens-Bogdanov bifurcation with \(\mathrm{O}(2)\) symmetry. Zbl 1457.37069Rucklidge, A. M.; Knobloch, E. 4 2017 Stability on time-dependent domains: convective and dilution effects. Zbl 1378.35030Krechetnikov, R.; Knobloch, E. 1 2017 Ducks in space: from nonlinear absolute instability to noise-sustained structures in a pattern-forming system. Zbl 1404.35249Avitabile, D.; Desroches, M.; Knobloch, E.; Krupa, M. 1 2017 A nonlinear model for rotationally constrained convection with Ekman pumping. Zbl 1422.76165Julien, 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 1376.35095Ma, Y.-P.; Knobloch, E. 1 2016 Localized structures and front propagation in systems with a conservation law. Zbl 1404.35037Knobloch, E. 1 2016 Problems on time-varying domains: formulation, dynamics, and challenges. Zbl 1332.35004Knobloch, E.; Krechetnikov, R. 19 2015 A new resonance mechanism in the Swift-Hohenberg equation with time-periodic forcing. Zbl 1316.35030Gandhi, Punit; Beaume, Cédric; Knobloch, Edgar 3 2015 Dynamic patterns in the reduced Craik-Leibovich equations. Zbl 1326.76084Zhang, Zhexuan; Chini, Gregory P.; Julien, Keith; Knobloch, Edgar 3 2015 Stability on time-dependent domains. Zbl 1302.70057Knobloch, E.; Krechetnikov, R. 3 2014 Convectons in a rotating fluid layer. Zbl 1284.76139Beaume, Cédric; Bergeon, Alain; Kao, Hsien-Ching; Knobloch, Edgar 4 2013 Travelling convectons in binary fluid convection. Zbl 1287.76105Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar 4 2013 Three-dimensional spatially localized binary-fluid convection in a porous medium. Zbl 1291.76295Lo Jacono, David; Bergeon, Alain; Knobloch, Edgar 3 2013 Instabilities and dynamics of weakly subcritical patterns. Zbl 1294.35151Kao, H.-C; Knobloch, E. 1 2013 Depinning, front motion, and phase slips. Zbl 1319.35251Ma, Y.-P.; Knobloch, E. 3 2012 Spatially localized magnetoconvection. Zbl 1309.76221Lo Jacono, D.; Bergeon, A.; Knobloch, E. 2 2012 Convectons, anticonvectons and multiconvectons in binary fluid convection. Zbl 1225.76107Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar 10 2011 Magnetohydrodynamic convectons. Zbl 1241.76454Lo Jacono, David; Bergeon, Alain; Knobloch, Edgar 4 2011 To snake or not to snake in the planar Swift-Hohenberg equation. Zbl 1200.37014Avitabile, Daniele; Lloyd, David J. B.; Burke, John; Knobloch, Edgar; Sandstede, Björn 27 2010 Defect-mediated snaking: a new growth mechanism for localized structures. Zbl 1213.37033Ma, Y.-P.; Burke, J.; Knobloch, E. 7 2010 Magnetorotational instability: recent developments. Zbl 1192.76068Julien, Keith; Knobloch, Edgar 4 2010 Transient spatio-temporal chaos in the complex Ginzburg-Landau equation on long domains. Zbl 1236.35178Houghton, S. M.; Knobloch, E.; Tobias, S. M.; Proctor, M. R. E. 4 2010 Convectons in periodic and bounded domains. Zbl 1423.76125Mercader, Isabel; Batiste, Oriol; Alonso, Arantxa; Knobloch, Edgar 3 2010 Spatially localized binary fluid convection in a porous medium. Zbl 1190.76077Lo Jacono, D.; Bergeon, A.; Knobloch, E. 3 2010 Unfolding a tangent equilibrium-to-periodic heteroclinic cycle. Zbl 1187.34056Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Rademacher, J. D. M. 10 2009 Multipulse states in the Swift-Hohenberg equation. Zbl 1184.70019Burke, J.; Knobloch, Edgar 7 2009 Heteroclinic dynamics in a model of Faraday waves in a square container. Zbl 1181.37089Moehlis, Jeff; Porter, Jeff; Knobloch, Edgar 2 2009 Bistability in the complex Ginzburg-Landau equation with drift. Zbl 1173.35352Houghton, S. M.; Tobias, S. M.; Knobloch, E.; Proctor, M. R. E. 1 2009 Spatially localized structures in dissipative systems: open problems. Zbl 1139.35002Knobloch, E. 33 2008 Spatially localized states in natural doubly diffusive convection. Zbl 1182.76055Bergeon, A.; Knobloch, E. 12 2008 Classification of spatially localized oscillations in periodically forced dissipative systems. Zbl 1168.35003Burke, J.; Yochelis, A.; Knobloch, E. 7 2008 Periodic and localized states in natural doubly diffusive convection. Zbl 1138.76039Bergeon, A.; Knobloch, E. 4 2008 Spatially localized states in Marangoni convection in binary mixtures. Zbl 1148.76024Assemat, P.; Bergeon, A.; Knobloch, E. 3 2008 Homoclinic snaking: Structure and stability. Zbl 1163.37317Burke, John; Knobloch, Edgar 50 2007 When Shil’nikov meets Hopf in excitable systems. Zbl 1170.34025Champneys, Alan R.; Kirk, Vivien; Knobloch, Edgar; Oldeman, Bart E.; Sneyd, James 18 2007 Reduced models for fluid flows with strong constraints. Zbl 1144.81362Julien, Keith; Knobloch, Edgar 17 2007 Normal form for spatial dynamics in the swift-hohenberg equation. Zbl 1163.37394Burke, John; Knobloch, Edgar 5 2007 Nonlinear Marangoni convection in circular and elliptical cylinders. Zbl 1182.76034Assemat, P.; Bergeon, A.; Knobloch, E. 2 2007 Snakes and ladders: localized states in the Swift-Hohenberg equation. Zbl 1236.35144Burke, John; Knobloch, Edgar 53 2006 Numerical simulation of an asymptotically reduced system for rotationally constrained convection. Zbl 1119.76057Sprague, Michael; Julien, Keith; Knobloch, Edgar; Werne, Joseph 34 2006 Spatially localized binary-fluid convection. Zbl 1122.76029Batiste, Oriol; Knobloch, Edgar; Alonso, Arantxa; Mercader, Isabel 28 2006 Generalized quasi-geostrophy for spatially anisotropic rotationally constrained flows. Zbl 1090.76077Julien, Keith; Knobloch, Edgar; Milliff, Ralph; Werne, Joseph 18 2006 Long-wave Marangoni instability with vibration. Zbl 1097.76028Thiele, Uwe; Vega, José M.; Knobloch, Edgar 9 2006 Dynamics of nearly inviscid Faraday waves in almost circular containers. Zbl 1143.76428Higuera, M.; Knobloch, E.; Vega, J. M. 5 2005 Dynamics in the 1:2 spatial resonance with broken reflection symmetry. Zbl 1082.37054Porter, J.; Knobloch, E. 5 2005 Long dynamo waves. Zbl 1089.35062Mason, Joanne; Knobloch, Edgar 3 2005 Simulations of oscillatory convection in \({}^3\text{He}--{}^4\text{He}\) mixtures in moderate aspect ratio containers. Zbl 1187.76039Batiste, Oriol; Knobloch, Edgar 2 2005 Saturation of the magnetorotational instability. Zbl 1187.76278Knobloch, Edgar; Julien, Keith 1 2005 Thin liquid films on a slightly inclined heated plate. Zbl 1063.76032Thiele, Uwe; Knobloch, Edgar 29 2004 Front and back instability of a liquid film on a slightly inclined plate. Zbl 1186.76522Thiele, Uwe; Knobloch, Edgar 14 2003 Dynamics of counterpropagating waves in parametrically driven systems: dispersion vs. advection. Zbl 1076.35543Martel, Carlos; Vega, José M.; Knobloch, Edgar 7 2003 Mode interaction in rotating Rayleigh–Bénard convection. Zbl 1060.76549Rüdiger, Sten; Knobloch, Edgar 5 2003 Oscillatory marangoni convection in binary mixtures in square and nearly square containers. Zbl 1186.76054Bergeon, A.; Knobloch, E. 3 2003 Oscillatory binary fluid convection in finite containers. Zbl 1132.92345Batiste, Oriol; Knobloch, Edgar 1 2003 Robust heteroclinic cycles in two-dimensional Rayleigh-Bénard convection without Boussinesq symmetry. Zbl 1051.76023Mercader, Isabel; Prat, Joana; Knobloch, Edgar 12 2002 Natural doubly diffusive convection in three-dimensional enclosures. Zbl 1185.76049Bergeon, A.; Knobloch, E. 8 2002 Coupled amplitude-streaming flow equations for nearly inviscid Faraday waves in small aspect ratio containers. Zbl 1084.76510Higuera, M.; Vega, J. M.; Knobloch, E. 6 2002 Heteroclinic dynamics in the nonlocal parametrically driven nonlinear Schrödinger equation. Zbl 0988.35155Higuera, M.; Porter, J.; Knobloch, E. 6 2002 The 1:2 mode interaction in Rayleigh-Bénard convection with and without Boussinesq symmetry. Zbl 1051.76556Prat, Joana; Mercader, Isabel; Knobloch, Edgar 4 2002 Nearly inviscid Faraday waves. Zbl 1006.76025Knobloch, Edgar; Vega, José M. 1 2002 New type of complex dynamics in the \(1:2\) spatial resonance. Zbl 0979.70017Porter, J.; Knobloch, E. 18 2001 Nearly inviscid Faraday waves in annular containers of moderately large aspect ratio. Zbl 1029.76017Vega, José M.; Knobloch, Edgar; Martel, Carlos 13 2001 Three-dimensional Marangoni-Bénard flows in square and nearly square containers. Zbl 1184.76050Bergeon, A.; Henry, D.; Knobloch, E. 6 2001 Wrinkled tori and bursts due to resonant temporal forcing. Zbl 1020.37030Moehlis, Jeff; Knobloch, Edgar 1 2001 Interaction of nearly-inviscid, multi-mode Faraday waves and mean flows. Zbl 1056.76511Higuera, María J.; Vega, José M.; Knobloch, Edgar 1 2001 Bifurctions, patterns and symmetry. Selected papers dedicated to the memory of John David Crawford. Zbl 0956.00057Golubitsky, M.; Knobloch, E. 92 2000 Dynamics of counterpropagating waves in parametrically forced systems. Zbl 0949.35019Martel, Carlos; Knobloch, Edgar; Vega, José M. 16 2000 Target patterns and spirals in planar reaction-diffusion systems. Zbl 0965.35084Golubitsky, M.; Knobloch, E.; Stewart, I. 11 2000 Bursts in oscillatory systems with broken \(D_4\) symmetry. Zbl 0941.34024Moehlis, Jeff; Knobloch, Edgar 9 2000 Complex dynamics in the 1:3 spatial resonance. Zbl 0980.34034Porter, J.; Knobloch, E. 6 2000 Nonlinear doubly diffusive convection in vertical enclosures. Zbl 0945.35072Bardan, G.; Bergeon, A.; Knobloch, E.; Mojtabi, A. 6 2000 Noise-sustained structures due to convective instability in finite domains. Zbl 0963.35164Proctor, M. R. E.; Tobias, S. M.; Knobloch, E. 4 2000 Nonlinear magnetoconvection in the presence of strong oblique fields. Zbl 1043.76022Julien, K.; Knobloch, E.; Tobias, S. M. 4 2000 Burst mechanisms in hydrodynamics. Zbl 0995.76026Knobloch, E.; Moehlis, J. 2 2000 Pattern formation in three-dimensional reaction-diffusion systems. Zbl 0935.35065Callahan, T. K.; Knobloch, E. 32 1999 Fully nonlinear three-dimensional convection in a rapidly rotating layer. Zbl 1147.76426Julien, Keith; Knobloch, Edgar 11 1999 Strongly nonlinear magnetoconvection in three dimensions. Zbl 0944.76095Julien, Keith; Knobloch, Edgar; Tobias, Steve 4 1999 Bursting mechanisms for hydrodynamical systems. Zbl 0981.76035Knobloch, E.; Moehlis, J. 3 1999 Convective and absolute instabilities of fluid flows in finite geometry. Zbl 0962.76526Tobias, S. M.; Proctor, M. R. E.; Knobloch, E. 31 1998 A new class of equations for rotationally constrained flows. Zbl 0923.76338Julien, Keith; Knobloch, Edgar; Werne, Joseph 20 1998 Rotating convection: recent developments. Zbl 1210.76077Knobloch, Edgar 12 1998 Strongly nonlinear convection cells in a rapidly rotating fluid layer: The tilted \(f\)-plane. Zbl 0922.76192Julien, Keith; Knobloch, Edgar 11 1998 A robust heteroclinic cycle in an \(O(2)\times Z_2\) steady-state mode interaction. Zbl 0897.58034Hirschberg, P.; Knobloch, E. 5 1998 On mean flows associated with traveling water waves. Zbl 1051.76514Knobloch, E.; Pierce, R. D. 2 1998 Symmetry-breaking bifurcations on cubic lattices. Zbl 0909.58007Callahan, T. K.; Knobloch, E. 10 1997 Mode interactions in large aspect ratio convection. Zbl 0902.76035Hirschberg, P.; Knobloch, E. 7 1997 Fully nonlinear oscillatory convection in a rotating layer. Zbl 1185.76594Julien, Keith; Knobloch, Edgar 6 1997 Dynamo waves in semi-infinite and finite domains. Zbl 0877.76084Worledge, Daniel; Knobloch, Edgar; Tobias, Steven; Proctor, Michael 4 1997 Parity-breaking bifurcation in inhomogeneous systems. Zbl 0995.34027Dangelmayr, G.; Hettel, J.; Knobloch, E. 3 1997 Symmetry and instability in rotating hydrodynamic and magnetohydrodynamic flows. Zbl 1087.76043Knobloch, Edgar 22 1996 Complex dynamics in the Hopf bifurcation with broken translation symmetry. Zbl 0891.34044Hirschberg, P.; Knobloch, E. 5 1996 System symmetry breaking and Shil’nikov dynamics. Zbl 0849.58015Knobloch, Edgar 3 1996 On the transition to columnar convection. Zbl 1027.76548Alonso, Arantxa; Net, Marta; Knobloch, Edgar 3 1995 ...and 51 more Documents all cited Publications top 5 cited Publications 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. 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