## Hohenberg, Pierre C.

Compute Distance To:
 Author ID: hohenberg.pierre-c Published as: Hohenberg, P. C.; Hohenberg, Pierre C. External Links: Wikidata · Google Scholar · ResearchGate · GND · IdRef
 Documents Indexed: 15 Publications since 1981 Biographic References: 3 Publications Co-Authors: 18 Co-Authors with 13 Joint Publications 254 Co-Co-Authors
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### Co-Authors

 1 single-authored 5 Cross, Michael C. 3 van Saarloos, Wim 2 Ahlers, Guenter 2 Kramer, Lorenz 1 Chaté, Hugues 1 Daniels, P. G. 1 Greenside, Henry S. 1 Holen, Margaret 1 Krekhov, Alexei P. 1 Lücke, Marvin 1 Pumir, Alain 1 Riecke, Hermann 1 Safran, Samuel A. 1 Shraiman, Boris I. 1 Siggia, Eric D. 1 van Hecke, Martin 1 von Saarloos, W. 1 Walden, R. W.
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### Serials

 6 Physica D 3 Journal of Fluid Mechanics 2 Reviews of Modern Physics 1 Physics Reports 1 Physical Review Letters 1 Foundations of Physics 1 Science
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### Fields

 8 Fluid mechanics (76-XX) 7 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

15 Publications have been cited 1,055 times in 977 Documents Cited by Year
Pattern formation outside of equilibrium. Zbl 1371.37001
Cross, M. C.; Hohenberg, P. C.
1993
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
van Saarloos, Wim; Hohenberg, P. C.
1992
Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation. Zbl 0759.35045
Shraiman, B. I.; Pumir, A.; van Saarloos, W.; Hohenberg, P. C.; Chaté, H.; Holen, M.
1992
Phase-winding solutions in a finite container above the convective threshold. Zbl 0534.76088
Cross, M. C.; Daniels, P. G.; Hohenberg, P. C.; Siggia, E. D.
1983
Spatiotemporal chaos. Zbl 1226.37055
Cross, M. C.; Hohenberg, P. C.
1994
The amplitude equation near the convective threshold: application to time-dependent heating experiments. Zbl 0467.76079
Ahlers, Guenter; Cross, M. C.; Hohenberg, P. C.; Safran, S.
1981
Colloquium: an introduction to consistent quantum theory. Zbl 1243.81009
Hohenberg, Pierre C.
2010
An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns. Zbl 1357.82022
Hohenberg, P. C.; Krekhov, A. P.
2015
Effects of boundaries on one-dimensional reaction-diffusion equations near threshold. Zbl 0603.35051
Hohenberg, P. C.; Kramer, Lorenz; Riecke, Hermann
1985
Forcing of convection due to time-dependent heating near threshold. Zbl 0566.76073
Cross, M. C.; Hohenberg, P. C.; Lücke, M.
1983
Erratum: Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0791.35131
von Saarloos, W.; Hohenberg, P. C.
1993
Effects of boundary conditions on spatially periodic states. Zbl 0599.76099
Kramer, Lorenz; Hohenberg, P. C.
1984
Comment on: ”Absolute and convective instabilities in nonlinear systems” by J.-M. Chomaz. Zbl 1051.76558
van Hecke, M.; van Saarloos, W.; Hohenberg, P. C.
1993
A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection. Zbl 1194.76053
Greenside, H. S.; Ahlers, Guenter; Hohenberg, P. C.; Walden, R. W.
1982
What is quantum mechanics? A minimal formulation. Zbl 1391.81014
Friedberg, R.; Hohenberg, Pierre C.
2018
What is quantum mechanics? A minimal formulation. Zbl 1391.81014
Friedberg, R.; Hohenberg, Pierre C.
2018
An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns. Zbl 1357.82022
Hohenberg, P. C.; Krekhov, A. P.
2015
Colloquium: an introduction to consistent quantum theory. Zbl 1243.81009
Hohenberg, Pierre C.
2010
Spatiotemporal chaos. Zbl 1226.37055
Cross, M. C.; Hohenberg, P. C.
1994
Pattern formation outside of equilibrium. Zbl 1371.37001
Cross, M. C.; Hohenberg, P. C.
1993
Erratum: Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0791.35131
von Saarloos, W.; Hohenberg, P. C.
1993
Comment on: ”Absolute and convective instabilities in nonlinear systems” by J.-M. Chomaz. Zbl 1051.76558
van Hecke, M.; van Saarloos, W.; Hohenberg, P. C.
1993
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations. Zbl 0763.35088
van Saarloos, Wim; Hohenberg, P. C.
1992
Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation. Zbl 0759.35045
Shraiman, B. I.; Pumir, A.; van Saarloos, W.; Hohenberg, P. C.; Chaté, H.; Holen, M.
1992
Effects of boundaries on one-dimensional reaction-diffusion equations near threshold. Zbl 0603.35051
Hohenberg, P. C.; Kramer, Lorenz; Riecke, Hermann
1985
Effects of boundary conditions on spatially periodic states. Zbl 0599.76099
Kramer, Lorenz; Hohenberg, P. C.
1984
Phase-winding solutions in a finite container above the convective threshold. Zbl 0534.76088
Cross, M. C.; Daniels, P. G.; Hohenberg, P. C.; Siggia, E. D.
1983
Forcing of convection due to time-dependent heating near threshold. Zbl 0566.76073
Cross, M. C.; Hohenberg, P. C.; Lücke, M.
1983
A simple stochastic model for the onset of turbulence in Rayleigh-Bénard convection. Zbl 1194.76053
Greenside, H. S.; Ahlers, Guenter; Hohenberg, P. C.; Walden, R. W.
1982
The amplitude equation near the convective threshold: application to time-dependent heating experiments. Zbl 0467.76079
Ahlers, Guenter; Cross, M. C.; Hohenberg, P. C.; Safran, S.
1981
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### Cited by 1,752 Authors

 11 Clerc, Marcel G. 11 Scheel, Arnd 10 Blömker, Dirk 9 Choudhury, Sudipto Roy 9 Guo, Boling 7 Mancas, Stefan C. 7 Mohammed, Wael W. 7 Vega, José Manuel 6 Abshagen, J. 6 Descalzi, Orazio 6 Fernandez, Bastien 6 Kengne, Emmanuel 6 Manneville, Paul 6 Meron, Ehud 6 Pfister, Gerd 6 Sandstede, Björn 6 Torcini, Alessandro 5 Banerjee, Malay 5 Bär, Markus 5 Chomaz, Jean-Marc 5 Coullet, Pierre H. 5 Gafiychuk, Vasyl V. 5 Garnier, Nicolas B. 5 Klika, Václav 5 Kramer, Lorenz 5 Krause, Andrew L. 5 Kühn, Christian 5 Laroze, David 5 Mutabazi, Innocent 5 Pesch, Werner 5 Rademacher, Jens Diederich Michael 5 Rottschäfer, Vivi 5 van Gorder, Robert Ashton 5 van Saarloos, Wim 4 Aubry, Nadine 4 Bernoff, Andrew J. 4 Chaté, Hugues 4 Couairon, Arnaud 4 Damil, Noureddine 4 Dangelmayr, Gerhard 4 Daniels, P. G. 4 Dawes, Jonathan H. P. 4 De Wit, Anne 4 Doelman, Arjen 4 Edelstein-Keshet, Leah 4 Heise, M. 4 Iqbal, Naveed H. 4 Jin, Zhen 4 Kapitula, Todd M. 4 Kumar Upadhyay, Ranjit 4 Kuznetsov, Sergey P. 4 Lee, Hyun Geun 4 Li, Li 4 Lima, Ricardo Massa Ferreira 4 Martel, Carlos 4 Mukherjee, Nayana 4 Mullin, Tom 4 Oprea, Iuliana 4 Peletier, Lambertus Adrianus 4 Potier-Ferry, Michel 4 Proctor, Michael Richard Edward 4 Pumir, Alain 4 Song, Yongli 4 Tirapegui, Enrique 4 Velarde, Manuel G. 4 Wang, Baoxiang 4 Ward, Michael J. 4 Witelski, Thomas P. 4 Wu, Ranchao 4 Yochelis, Arik 4 Zimmermann, Walter 3 Ahlers, Guenter 3 Batiste, Oriol 3 Benhadid, Hamda 3 Bianchi, Luigi Amedeo 3 Cazenave, Thierry 3 Chapman, Stephen Jonathan 3 Chiffaudel, Arnaud 3 Choi, Yuncherl 3 Chung, Kwok-Wai 3 Conte, Robert Maurice 3 Daviaud, François 3 Dijkstra, Henk A. 3 Duan, Jinqiao 3 Ercolani, Nicholas M. 3 Escaff, Daniel 3 Feng, Zhaosheng 3 Gaffney, Eamonn A. 3 Gambino, Gaetana 3 Gao, Hongjun 3 García-Ñustes, Mónica A. 3 Ghorai, Saktipada 3 Gilad, Erez 3 Goldenfeld, Nigel 3 Guan, Shuguang 3 Gunaratne, Gemunu H. 3 Ha, Taeyoung 3 Haken, Hermann 3 Henry, Daniel 3 Hou, Yanren ...and 1,652 more Authors
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### Cited in 181 Serials

 128 Physica D 81 Chaos 71 Journal of Fluid Mechanics 55 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 40 Physics of Fluids 33 Chaos, Solitons and Fractals 26 Journal of Statistical Physics 21 Communications in Nonlinear Science and Numerical Simulation 19 Applied Mathematics and Computation 17 Journal of Differential Equations 14 Journal of Mathematical Physics 13 Physica A 12 Journal of Computational Physics 12 Mathematics and Computers in Simulation 12 Journal of Nonlinear Science 11 International Journal of Modern Physics B 11 Journal of Mathematical Analysis and Applications 11 SIAM Journal on Applied Dynamical Systems 11 Journal of Theoretical Biology 10 Computers & Mathematics with Applications 10 Bulletin of Mathematical Biology 10 Journal of Computational and Applied Mathematics 10 Nonlinear Dynamics 8 Journal of Mathematical Biology 8 Theoretical and Computational Fluid Dynamics 8 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Applied Mathematics Letters 7 European Journal of Applied Mathematics 7 Foundations of Physics 6 Physics Letters. A 6 Physics Reports 6 Journal of Non-Equilibrium Thermodynamics 6 Nonlinear Analysis. Real World Applications 5 Mathematical Biosciences 5 Journal of Mathematical Chemistry 5 Abstract and Applied Analysis 5 European Journal of Mechanics. B. Fluids 5 International Journal of Modern Physics C 4 Applicable Analysis 4 Computers and Fluids 4 Nonlinearity 4 Automatica 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 4 Journal of Dynamics and Differential Equations 4 Calculus of Variations and Partial Differential Equations 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Physical Review Letters 4 Discrete and Continuous Dynamical Systems. Series B 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Journal of the Mechanics and Physics of Solids 3 Quarterly of Applied Mathematics 3 Theoretical Population Biology 3 Applied Mathematics and Mechanics. (English Edition) 3 Proceedings of the National Academy of Sciences of the United States of America 3 Journal of Mathematical Fluid Mechanics 3 Physical Review E. Third Series 3 Journal of Statistical Mechanics: Theory and Experiment 3 Mathematical Modelling of Natural Phenomena 3 Discrete and Continuous Dynamical Systems. Series S 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Biological Cybernetics 2 Computer Methods in Applied Mechanics and Engineering 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 Theoretical and Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Physics of Fluids, A 2 Journal of Functional Analysis 2 Numerische Mathematik 2 Mathematical and Computer Modelling 2 Dynamics and Stability of Systems 2 Computational Mathematics and Modeling 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Global Optimization 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Continuum Mechanics and Thermodynamics 2 SIAM Journal on Scientific Computing 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Discrete and Continuous Dynamical Systems 2 New Journal of Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Mathematical Biosciences and Engineering 2 The European Physical Journal B. Condensed Matter and Complex Systems 2 Frontiers of Mathematics in China 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Function Spaces 2 Journal of Computational Methods in Physics 2 SN Partial Differential Equations and Applications 1 Modern Physics Letters B 1 Fluid Dynamics 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Letters in Mathematical Physics ...and 81 more Serials
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### Cited in 43 Fields

 465 Partial differential equations (35-XX) 263 Fluid mechanics (76-XX) 226 Dynamical systems and ergodic theory (37-XX) 181 Biology and other natural sciences (92-XX) 93 Statistical mechanics, structure of matter (82-XX) 92 Numerical analysis (65-XX) 90 Ordinary differential equations (34-XX) 53 Classical thermodynamics, heat transfer (80-XX) 34 Probability theory and stochastic processes (60-XX) 30 Optics, electromagnetic theory (78-XX) 26 Mechanics of deformable solids (74-XX) 26 Systems theory; control (93-XX) 23 Quantum theory (81-XX) 17 Computer science (68-XX) 15 Integral equations (45-XX) 15 Mechanics of particles and systems (70-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 10 Statistics (62-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Difference and functional equations (39-XX) 8 Information and communication theory, circuits (94-XX) 6 Real functions (26-XX) 6 Relativity and gravitational theory (83-XX) 5 Combinatorics (05-XX) 5 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX)

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