Concepedia

Global Bifurcation Analysis

Global Bifurcation Analysis is a systematic methodological framework within dynamical systems theory that investigates the qualitative changes in the global structure of phase portraits—particularly the emergence, destruction, or transformation of limit cycles and other invariant sets—as system parameters vary, distinguished from local bifurcation analyses by its focus on large-scale, non-perturbative, and topologically invariant dynamical behaviors.

527

Publications

24.3K

Citations

967

Authors

514

Institutions

Publications per year

2017–2026

91

Parents

Publications

527

The double scroll family

Leon O. Chua, M. Komuro, Takashi Matsumoto · IEEE Transactions on Circuits and Systems · 1986 · 1.2K citations

, , +17

Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis

Vladimir A. Kuznetsov, Iliya A. Makalkin, Mark A. Taylor et al. · Bulletin of Mathematical Biology · 1994 · 916 citations

, , +17

Increasing Returns, Industrialization, and Indeterminacy of Equilibrium

Kiminori Matsuyama · The Quarterly Journal of Economics · 1991 · 685 citations

, , +17

Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response

Dongmei Xiao, Shigui Ruan · SIAM Journal on Applied Mathematics · 2001 · 555 citations

, , +16

On global bifurcation for quasilinear elliptic systems on bounded domains

Junping Shi, Xuefeng Wang · Journal of Differential Equations · 2008 · 367 citations

, , +15

1–5 of 527

Authors

967

  1. JW
    Junjie Wei

    Harbin Institute of Technology, China

    11 publications · 389 citations

    11

    h-index

  2. LG
    Laura Gardini

    University of Urbino, Italy

    9 publications · 330 citations

    9

    h-index

  3. JS
    Junping Shi

    William & Mary, United States

    9 publications · 955 citations

    9

    h-index

  4. GD
    Guowei Dai

    Northwest Normal University, China

    8 publications · 183 citations

    8

    h-index

  5. RM
    Ruyun Ma

    Northwest Normal University, China

    8 publications · 171 citations

    8

    h-index

1–5 of 967

Institutions

514

  1. Harbin Institute of Technology

    Harbin, China

    12 h-index

    26 publications

    1.1K citations

  2. University of Maryland, College Park

    College Park, United States

    12 h-index

    20 publications

    1.3K citations

  3. Cornell University

    Ithaca, United States

    12 h-index

    18 publications

    1.4K citations

  4. Northwest Normal University

    Lanzhou, China

    11 h-index

    24 publications

    500 citations

  5. Universidad de Sevilla

    Seville, Spain

    10 h-index

    19 publications

    776 citations

  6. University of Urbino

    Urbino, Italy

    10 h-index

    22 publications

    777 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    18 publications

    1.4K citations

  8. Beijing University of Technology

    Beijing, China

    7 h-index

    15 publications

    503 citations

1–8 of 514

Venues

  1. International Journal of Bifurcation and Chaos

    IJBC · 42 publications · 1.1K citations

    20

    h-index

  2. Journal of Differential Equations

    29 publications · 1.4K citations

    20

    h-index

  3. Nonlinear Dynamics

    16 publications · 889 citations

    14

    h-index

  4. Nonlinear Analysis

    17 publications · 608 citations

    14

    h-index

  5. Nonlinearity

    17 publications · 733 citations

    13

    h-index

1–5