D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Engineering and Technology D-index 56 Citations 8,877 241 World Ranking 890 National Ranking 381
Mathematics D-index 63 Citations 11,365 324 World Ranking 320 National Ranking 178

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

Edgar Knobloch focuses on Classical mechanics, Convection, Mathematical analysis, Mechanics and Bifurcation. His Classical mechanics study incorporates themes from Eigenvalues and eigenvectors, Boussinesq approximation, Instability and Dissipative system. As part of one scientific family, Edgar Knobloch deals mainly with the area of Convection, narrowing it down to issues related to the Thermal, and often Convective heat transfer.

His studies deal with areas such as Structure, Pitchfork bifurcation, Saddle-node bifurcation, Homoclinic orbit and Nonlinear system as well as Mathematical analysis. His Bifurcation study integrates concerns from other disciplines, such as Symmetry and Geometry. His work deals with themes such as Rayleigh scattering, Boundary value problem and Prandtl number, which intersect with Rayleigh number.

His most cited work include:

  • Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics (278 citations)
  • Localized states in the generalized Swift-Hohenberg equation. (231 citations)
  • Homoclinic snaking: structure and stability. (194 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Classical mechanics, Mechanics, Convection, Mathematical analysis and Bifurcation. His Classical mechanics research focuses on Instability and how it relates to Wavenumber. The study incorporates disciplines such as Cylinder and Thermal diffusivity in addition to Mechanics.

His study in Convection is interdisciplinary in nature, drawing from both Numerical continuation and Boundary value problem. His Mathematical analysis research integrates issues from Hopf bifurcation, Reflection symmetry and Bifurcation theory. His study in Bifurcation focuses on Homoclinic orbit in particular.

He most often published in these fields:

  • Classical mechanics (43.19%)
  • Mechanics (36.48%)
  • Convection (36.06%)

What were the highlights of his more recent work (between 2012-2021)?

  • Mechanics (36.48%)
  • Convection (36.06%)
  • Classical mechanics (43.19%)

In recent papers he was focusing on the following fields of study:

Mechanics, Convection, Classical mechanics, Nonlinear system and Bifurcation are his primary areas of study. His Mechanics course of study focuses on Dissipative system and Cylinder. His Convection study combines topics from a wide range of disciplines, such as Turbulence, Boundary value problem and Instability.

He has included themes like Amplitude and Parameter space in his Classical mechanics study. His Nonlinear system research is multidisciplinary, relying on both Wavelength, Mathematical analysis, Condensed matter physics, Quasicrystal and Density functional theory. His Bifurcation research is multidisciplinary, incorporating elements of Structure, Optics and Dynamics.

Between 2012 and 2021, his most popular works were:

  • Spatial Localization in Dissipative Systems (111 citations)
  • Upscale energy transfer in three-dimensional rapidly rotating turbulent convection. (97 citations)
  • Multicluster and traveling chimera states in nonlocal phase-coupled oscillators. (81 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Geometry
  • Mathematical analysis

Edgar Knobloch mainly focuses on Convection, Classical mechanics, Mechanics, Nonlinear system and Statistical physics. His Convection research incorporates themes from Rayleigh scattering and Forcing. His Classical mechanics research is multidisciplinary, incorporating perspectives in Numerical continuation, Bifurcation and Torus.

His Mechanics research incorporates elements of Boundary value problem and Dissipative system. The Nonlinear system study combines topics in areas such as Wavelength, Condensed matter physics, Quasicrystal, Crystal and Density functional theory. He combines subjects such as Parameter space, Computer simulation, Coherence and Single cluster with his study of Statistical physics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics

John David Crawford;Edgar Knobloch.
Annual Review of Fluid Mechanics (1991)

398 Citations

Symmetry and Symmetry-Breaking Bifurcations in Fluid Dynamics

John David Crawford;Edgar Knobloch.
Annual Review of Fluid Mechanics (1991)

398 Citations

Localized states in the generalized Swift-Hohenberg equation.

John Burke;Edgar Knobloch.
Physical Review E (2006)

337 Citations

Localized states in the generalized Swift-Hohenberg equation.

John Burke;Edgar Knobloch.
Physical Review E (2006)

337 Citations

Homoclinic snaking: structure and stability.

John Burke;Edgar Knobloch.
Chaos (2007)

269 Citations

Homoclinic snaking: structure and stability.

John Burke;Edgar Knobloch.
Chaos (2007)

269 Citations

Nonlinear periodic convection in double-diffusive systems

E. Knobloch;M. R. E. Proctor.
Journal of Fluid Mechanics (1981)

258 Citations

Nonlinear periodic convection in double-diffusive systems

E. Knobloch;M. R. E. Proctor.
Journal of Fluid Mechanics (1981)

258 Citations

Symmetries and pattern selection in Rayleigh-Bénard convection

M. Golubitsky;J.W. Swift;E. Knobloch.
Physica D: Nonlinear Phenomena (1984)

224 Citations

Symmetries and pattern selection in Rayleigh-Bénard convection

M. Golubitsky;J.W. Swift;E. Knobloch.
Physica D: Nonlinear Phenomena (1984)

224 Citations

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