World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
68
Citations
13728
World Ranking
321
National Ranking
179

Engineering and Technology

D-Index
65
Citations
12930
World Ranking
1565
National Ranking
511

Edgar Knobloch publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Edgar Knobloch sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 341 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Edgar Knobloch D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Edgar Knobloch sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 68 D-Index — 92nd percentile

92% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2013 - SIAM Fellow For contributions to pattern formation and nonlinear dynamics, bifurcation theory and fluid dynamics.
  • 2001 - Fellow of American Physical Society (APS) Citation For his innovative applications of modern mathematical tools such as bifurcation and group theory to the analysis of nonlinear structures in fluid flows and for his elucidation of fundamental dynamical mechanisms
  • 1980 - Fellow of Alfred P. Sloan Foundation

Overview

Edgar Knobloch is affiliated with the University of California, Berkeley in the United States. Their research spans multiple fields with a focus on nonlinear dynamics, fluid mechanics, and applied mathematics.

The main fields of study for this scientist include:

  • Engineering
  • Physics and Astronomy

Within these broad areas, their subfields of expertise highlight:

  • Computer Networks and Communications
  • Computational Mechanics
  • Statistical and Nonlinear Physics
  • Condensed Matter Physics
  • Global and Planetary Change

Their primary research topics reflect a strong focus on complex dynamic systems and pattern formations:

  • Nonlinear Dynamics and Pattern Formation
  • Fluid Dynamics and Turbulent Flows
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Theoretical and Computational Physics
  • Ecosystem dynamics and resilience
  • Geomagnetism and Paleomagnetism Studies
  • Nonlinear Photonic Systems

Notable recent papers authored by Edgar Knobloch include:

  • "Robust wall states in rapidly rotating Rayleigh-Bénard convection," 2020, Journal of Fluid Mechanics
  • "Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities," 2021, IMA Journal of Applied Mathematics
  • "Two-dimensional localized states in an active phase-field-crystal model," 2021, Physical Review E
  • "Stationary broken parity states in active matter models," 2023, Physical Review E
  • "Stationary peaks in a multivariable reaction-diffusion system: foliated snaking due to subcritical Turing instability," 2021, IMA Journal of Applied Mathematics

Frequent co-authors collaborating with this scientist include:

  • Adrian van Kan
  • Keith Julien
  • Uwe Thiele
  • Benjamin Favier
  • Svetlana V. Gurevich

Their publications have appeared primarily in the following venues:

  • arXiv (Cornell University)
  • Physical Review E
  • Journal of Fluid Mechanics
  • IMA Journal of Applied Mathematics
  • Zenodo (CERN European Organization for Nuclear Research)

Edgar Knobloch has received several awards recognizing contributions to their fields, including:

  • SIAM Fellow, 2013, for contributions to pattern formation and nonlinear dynamics, bifurcation theory and fluid dynamics
  • Fellow of American Physical Society (APS), 2001, for innovative applications of modern mathematical tools such as bifurcation and group theory to the analysis of nonlinear structures in fluid flows
  • Fellow of Alfred P. Sloan Foundation, 1980

Best Publications

  • Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics

    John David Crawford;Edgar Knobloch

  • Localized states in the generalized Swift-Hohenberg equation.

    John Burke;Edgar Knobloch

  • Homoclinic snaking: structure and stability.

    John Burke;Edgar Knobloch

  • Nonlinear periodic convection in double-diffusive systems

    E. Knobloch;M. R. E. Proctor

  • Spatial Localization in Dissipative Systems

    E. Knobloch

  • Symmetries and pattern selection in Rayleigh-Bénard convection

    M. Golubitsky;J.W. Swift;E. Knobloch

  • Snakes and ladders: Localized states in the Swift–Hohenberg equation

    John Burke;Edgar Knobloch

  • Statistical and physical balances in low Rossby number Rayleigh–Bénard convection

    K. Julien;A.M. Rubio;I. Grooms;E. Knobloch

  • Oscillatory convection in binary mixtures

    E. Knobloch

  • Spatially localized structures in dissipative systems: open problems

    E Knobloch

  • Numerical simulation of an asymptotically reduced system for rotationally constrained convection

    Michael Sprague;Keith Julien;Edgar Knobloch;Joseph Werne

  • Linear stability of experimental Soret convection.

    Knobloch E;Moore Dr

  • Oscillations in double-diffusive convection

    L. N. Da Costa;E. Knobloch;N. O. Weiss

  • Heat transport in low-Rossby-number Rayleigh-Bénard convection.

    Keith Julien;Edgar Knobloch;Antonio M. Rubio;Geoffrey M. Vasil

  • Bifurcations in fluctuating systems: The center-manifold approach

    E. Knobloch;K. A. Wiesenfeld

  • Spatially localized binary-fluid convection

    Oriol Batiste;Edgar Knobloch;Arantxa Alonso;Isabel Mercader

  • Transitions to chaos in two-dimensional double-diffusive convection

    Edgar Knobloch;Daniel R. Moore;Juri Toomre;Nigel O. Weiss

  • The Takens-Bogdanov bifurcation with O(2)-symmetry

    G. Dangelmayr;E. Knobloch

  • Upscale energy transfer in three-dimensional rapidly rotating turbulent convection.

    Antonio M. Rubio;Keith Julien;Edgar Knobloch;Jeffrey B. Weiss

  • Hopf bifurcation with broken reflection symmetry in rotating Rayleigh-Bénard convection

    R. E. Ecke;Fang Zhong;Fang Zhong;E. Knobloch

  • Convective and absolute instabilities of fluid flows in finite geometry

    S. M. Tobias;S. M. Tobias;M. R. E. Proctor;E. Knobloch

  • Thin liquid films on a slightly inclined heated plate

    Uwe Thiele;Edgar Knobloch;Edgar Knobloch

Frequent Co-Authors

Keith Julien
Keith Julien University of Colorado Boulder
Uwe Thiele
Uwe Thiele University of Münster
Jeff Moehlis
Jeff Moehlis University of California, Santa Barbara
Steven M. Tobias
Steven M. Tobias University of Leeds
Michael R. E. Proctor
Michael R. E. Proctor University of Cambridge
Alan R Champneys
Alan R Champneys University of Bristol
Stéphane Coen
Stéphane Coen University of Auckland
Peter Hänggi
Peter Hänggi University of Augsburg
John Clarke
John Clarke University of California, Berkeley
L. N. da Costa
L. N. da Costa Harvard University

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