Concepedia

Imperfect Bifurcation

Imperfect Bifurcation is a type of bifurcation in dynamical systems theory in which the standard bifurcation behavior is altered by the presence of a small perturbation or imperfection in a system parameter, leading to a qualitative change in dynamics that deviates from the idealized symmetric or unperturbed case.

41

Publications

4.7K

Citations

79

Authors

57

Institutions

Publications per year

2017–2026

6

Parents

Publications

41

<i>Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering</i>

Steven H. Strogatz, Ronald F. Fox · Physics Today · 1995 · 2.7K citations

, , +17

A theory for imperfect bifurcation via singularity theory

Martin Golubitsky, David J. Schaeffer · Communications on Pure and Applied Mathematics · 1979 · 362 citations

, , +12

Wall-induced forces on a rigid sphere at finite Reynolds number

Lanying Zeng, S. Balachandar, Paul Fischer · Journal of Fluid Mechanics · 2005 · 274 citations · Full text

, , +17

Imperfect bifurcation in the presence of symmetry

Martin Golubitsky, David J. Schaeffer · Communications in Mathematical Physics · 1979 · 146 citations

, , +11

Axisymmetric shapes and stability of charged drops in an external electric field

Osman A. Basaran, L. E. Scriven · Physics of Fluids A Fluid Dynamics · 1989 · 117 citations

, , +14

1–5 of 41

Authors

79

  1. GD
    Gerhard Dangelmayr

    University of Tübingen, Germany

    4 publications · 124 citations

    4

    h-index

  2. PH
    Philip Hall

    Imperial College London, United Kingdom

    3 publications · 71 citations

    3

    h-index

  3. JA
    J. Abshagen

    Hochschule für Angewandte Wissenschaften Kiel, Germany

    3 publications · 75 citations

    3

    h-index

  4. DJ
    David J. Schaeffer

    University of Illinois Urbana-Champaign, United States

    2 publications · 508 citations

    2

    h-index

  5. KI
    Kiyohiro Ikeda

    Tohoku University, Japan

    2 publications · 29 citations

    2

    h-index

1–5 of 79

Institutions

57

  1. Imperial College London

    London, United Kingdom

    4 h-index

    7 publications

    251 citations

  2. University of Tübingen

    Tübingen, Germany

    3 h-index

    5 publications

    212 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    9 publications

    380 citations

  4. Kyoto University

    Kyoto, Japan

    3 h-index

    3 publications

    41 citations

  5. Tohoku University

    Sendai, Japan

    3 h-index

    4 publications

    55 citations

  6. Duke University

    Durham, United States

    2 h-index

    2 publications

    508 citations

  7. University of Manchester

    Manchester, United Kingdom

    2 h-index

    5 publications

    158 citations

  8. Kyoto Architecture University

    Kyoto, Japan

    2 h-index

    2 publications

    29 citations

1–8 of 57

Venues

  1. Journal of Fluid Mechanics

    8 publications · 574 citations

    8

    h-index

  2. 3

    h-index

  3. Physical Review E

    PRE · 3 publications · 102 citations

    3

    h-index

  4. Physics of Fluids

    2 publications · 85 citations

    2

    h-index

  5. Physical review. A, General physics

    2 publications · 70 citations

    2

    h-index

1–5