Turbulence and the dynamics of coherent structures. I. Coherent structures

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Sirovich, Lawrence. “Turbulence and the Dynamics of Coherent Structures. I. Coherent Structures”. Quarterly of Applied Mathematics, vol. 45, no. 3, 1987, pp. 561-7, https://doi.org/10.1090/qam/910462.
Sirovich, L. (1987). Turbulence and the dynamics of coherent structures. I. Coherent structures. Quarterly of Applied Mathematics, 45(3), 561-571. https://doi.org/10.1090/qam/910462
Sirovich, Lawrence. “Turbulence and the Dynamics of Coherent Structures. I. Coherent Structures”. Quarterly of Applied Mathematics 45, no. 3 (1987): 561-71. https://doi.org/10.1090/qam/910462.
1.
Sirovich L. Turbulence and the dynamics of coherent structures. I. Coherent structures. Quarterly of Applied Mathematics. 1987;45(3):561-7.
Refrences
Title Journal Journal Categories Citations Publication Date
Coherent structures and chaos: a model problem Physics Letters A
  • Science: Physics
  • Science: Physics
1987
Low-dimensional chaos in a hydrodynamic system Physical Review Letters
  • Science: Chemistry: Physical and theoretical chemistry
  • Science: Physics
  • Science: Physics
1983
Differentiable Manifolds Annals of Mathematics
  • Science: Mathematics
444 1936
Determining modes and fractal dimension of turbulent flows Journal of Fluid Mechanics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Technology: Mechanical engineering and machinery
  • Science: Physics
1985
Introduction to statistical pattern recognition 1990
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Technology: Engineering (General). Civil engineering (General)1,560
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1,329
Technology: Mechanical engineering and machinery1,248
Science: Physics868
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Medicine: Internal medicine: Specialties of internal medicine: Diseases of the endocrine glands. Clinical endocrinology1
Science: Botany: Plant ecology1
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Medicine: Public aspects of medicine1
Social Sciences1
Social Sciences: Industries. Land use. Labor: Industry1
Technology: Engineering (General). Civil engineering (General): Engineering design1
The category Technology: Engineering (General). Civil engineering (General) 1,560 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Turbulence and the dynamics of coherent structures. II. Symmetries and transformations and was published in 1987. The most recent citation comes from a 2024 study titled Direct numerical simulations of an airfoil undergoing dynamic stall at different background disturbance levels. This article reached its peak citation in 2022, with 292 citations. It has been cited in 587 different journals, 14% of which are open access. Among related journals, the Physics of Fluids cited this research the most, with 260 citations. The chart below illustrates the annual citation trends for this article.
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