Concepedia

Bifurcation Analysis

Bifurcation Analysis is a mathematical methodology within dynamical systems theory that systematically investigates qualitative changes in the behavior of solutions to differential or difference equations as parameters vary, identifying critical parameter values where such changes, or bifurcations, occur.

6K

Publications

263.3K

Citations

9.8K

Authors

2.7K

Institutions

Publications per year

2017–2026

1.5K

Parents

Publications

6K

Recurrence plots for the analysis of complex systems

Norbert Marwan, M. Carmen Romano, Marko Thiel et al. · Physics Reports · 2007 · 3.8K citations · Full text

, , +14

<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

Bifurcation from simple eigenvalues

Michael G. Crandall, Paul H. Rabinowitz · Journal of Functional Analysis · 1971 · 2.1K citations

, , +12

AUTO-07p: Continuation and bifurcation software for ordinary differential equations

Eusebius J. Doedel, Alan Champneys, Fabio Dercole et al. · 2007 · 1.7K citations

, , +13

Phase transitions and critical behavior in human bimanual coordination

J. A. Scott Kelso · American Journal of Physiology-Regulatory, Integrative and Comparative Physiology · 1984 · 1.5K citations

, , +17

1–5 of 6K

Authors

9.8K

  1. JW
    Junjie Wei

    Harbin Institute of Technology, China

    65 publications · 3.4K citations

    31

    h-index

  2. YA
    Yuri A. Kuznetsov

    Utrecht University, Netherlands

    30 publications · 6.4K citations

    25

    h-index

  3. BK
    Bernd Krauskopf

    University of Bristol, United Kingdom

    46 publications · 1.9K citations

    25

    h-index

  4. GC
    Guanrong Chen

    City University of Hong Kong, Hong Kong SAR China

    33 publications · 2.8K citations

    24

    h-index

  5. MD
    Mario di Bernardo

    University of Naples Federico II, Italy

    29 publications · 3.1K citations

    23

    h-index

1–5 of 9.8K

Institutions

2.7K

  1. University of Bristol

    Bristol, United Kingdom

    42 h-index

    206 publications

    10.8K citations

  2. Harbin Institute of Technology

    Harbin, China

    40 h-index

    228 publications

    9.2K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    38 h-index

    249 publications

    10.5K citations

  4. University of Maryland, College Park

    College Park, United States

    32 h-index

    107 publications

    10.7K citations

  5. Cornell University

    Ithaca, United States

    29 h-index

    103 publications

    6.8K citations

  6. Technical University of Denmark

    Kongens Lyngby, Denmark

    28 h-index

    107 publications

    4.2K citations

  7. Princeton University

    Princeton, United States

    28 h-index

    105 publications

    14.1K citations

  8. City University of Hong Kong

    Hong Kong, Hong Kong

    28 h-index

    76 publications

    4.9K citations

1–8 of 2.7K

Venues

  1. International Journal of Bifurcation and Chaos

    IJBC · 447 publications · 17.2K citations

    58

    h-index

  2. SIAM Journal on Applied Mathematics

    88 publications · 6.8K citations

    45

    h-index

  3. Physica D Nonlinear Phenomena

    107 publications · 6.5K citations

    42

    h-index

  4. Chaos Solitons & Fractals

    150 publications · 5.5K citations

    42

    h-index

  5. Nonlinear Dynamics

    186 publications · 6.3K citations

    42

    h-index

1–5