Concepedia

Nonlinear Stability Theory

Nonlinear Stability Theory is a theoretical framework within hydrodynamic stability that characterizes the long-term behavior of fluid flows under finite-amplitude disturbances by accounting for the full nonlinear terms in the governing equations, thereby extending beyond the infinitesimal perturbations considered in linear stability analysis.

1.5K

Publications

87K

Citations

2.7K

Authors

1.1K

Institutions

Publications per year

2017–2026

281

Parents

Publications

1.5K

Hydrodynamic Stability Without Eigenvalues

Lloyd N. Trefethen, Anne Trefethen, Tobin A. Driscoll · Science · 1993 · 1.8K citations

, , +15

A ‘universal’ construction of Artstein's theorem on nonlinear stabilization

Eduardo D. Sontag · Systems & Control Letters · 1989 · 1.4K citations

, , +11

Stability Theory of Synchronized Motion in Coupled-Oscillator Systems

Hirokazu Fujisaka, Tomonori Yamada · Progress of Theoretical Physics · 1983 · 1.4K citations · Full text

, , +16

On the input-output stability of time-varying nonlinear feedback systems Part one: Conditions derived using concepts of loop gain, conicity, and positivity

G. Zames · IEEE Transactions on Automatic Control · 1966 · 1.3K citations

, , +17

Stability theory of solitary waves in the presence of symmetry, II

Manoussos G. Grillakis, Jalal Shatah, Walter A. Strauss · Journal of Functional Analysis · 1990 · 1.3K citations

, , +14

1–5 of 1.5K

Authors

2.7K

  1. BS
    Brian Straughan

    Durham University, United Kingdom

    10 publications · 385 citations

    10

    h-index

  2. GM
    Galal M. Moatimid

    Ain Shams University, Egypt

    9 publications · 239 citations

    9

    h-index

  3. CT
    Cemil Tunç

    Van Yüzüncü Yıl Üniversitesi, Türkiye

    8 publications · 163 citations

    8

    h-index

  4. AJ
    Akil J. Harfash

    University of Basrah, Iraq

    8 publications · 208 citations

    8

    h-index

  5. CP
    Christophe Prieur

    Centre National de la Recherche Scientifique, France

    7 publications · 256 citations

    7

    h-index

1–5 of 2.7K

Institutions

1.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    29 h-index

    79 publications

    6.3K citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    22 h-index

    35 publications

    3.8K citations

  3. Imperial College London

    London, United Kingdom

    20 h-index

    40 publications

    2.4K citations

  4. Courant Institute of Mathematical Sciences

    New York, United States

    17 h-index

    29 publications

    6.4K citations

  5. Ain Shams University

    Cairo, Egypt

    15 h-index

    31 publications

    861 citations

  6. University of Cambridge

    Cambridge, United Kingdom

    15 h-index

    19 publications

    2.1K citations

  7. University of California, Berkeley

    Berkeley, United States

    14 h-index

    27 publications

    5.7K citations

  8. University of California San Diego

    San Diego, United States

    14 h-index

    23 publications

    2.6K citations

1–8 of 1.1K

Venues

  1. Journal of Fluid Mechanics

    79 publications · 7K citations

    41

    h-index

  2. IEEE Transactions on Automatic Control

    49 publications · 5.1K citations

    29

    h-index

  3. Physics of Fluids

    27 publications · 1.1K citations

    22

    h-index

  4. Archive for Rational Mechanics and Analysis

    24 publications · 2.3K citations

    21

    h-index

  5. The Physics of Fluids

    27 publications · 1.5K citations

    20

    h-index

1–5