Bifurcation Theory

Bifurcation Theory is a branch of the mathematical theory of dynamical systems that investigates how small variations in system parameters induce qualitative or topological changes in the structure and stability of equilibria, periodic orbits, or other invariant sets.

30.5K

Publications

1.5M

Citations

34.4K

Authors

5.5K

Institutions

Publications per year

2017–2026

5.7K

Parents

Dynamical Systems

Children

Andronov-hopf BifurcationBifurcation DiagramsBifurcation Of Invariant ToriBifurcation Of Limit CyclesBogdanov-takens BifurcationBranch SwitchingCenter Manifold ReductionCodimension-one BifurcationCodimension-two BifurcationCusp Bifurcation

Publications

30.5K

Pattern formation outside of equilibrium

M. C. Cross, P. C. Hohenberg · Reviews of Modern Physics · 1993 · 7.8K citations

Natural Sciences, Physics, Dynamical Systems +16

Self-organized criticality: An explanation of the 1/<i>f</i>noise

Per Bak, Chao Tang, Kurt Wiesenfeld · Physical Review Letters · 1987 · 7.6K citations

Natural Sciences, Mathematics, Physics +17

Measuring the strangeness of strange attractors

Peter Grassberger, Itamar Procaccia · Physica D Nonlinear Phenomena · 1983 · 5.6K citations

Natural Sciences, Mathematics, Physics +12

Controlling chaos

Edward Ott, Celso Grebogi, James A. Yorke · Physical Review Letters · 1990 · 5.4K citations

Natural Sciences, Mathematics, Complex Systems +16

Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering

Steven H. Strogatz, Mark J. Friedman, A. John Mallinckrodt et al. · Computers in Physics · 1994 · 4.7K citations

Natural Sciences, Physics, Dynamical Systems +7

1–5 of 30.5K

Authors

34.4K

GC
Guanrong Chen
City University of Hong Kong, Hong Kong SAR China
186 publications · 17.8K citations
67
h-index
EO
Edward Ott
University of Maryland, College Park, United States
106 publications · 18.4K citations
59
h-index
JA
James A. Yorke
University of Maryland, College Park, United States
88 publications · 16.9K citations
53
h-index
SJ
Sajad Jafari
Amirkabir University of Technology, Iran
116 publications · 8K citations
49
h-index
CG
Celso Grebogi
University of Maryland, College Park, United States
112 publications · 13.1K citations
49
h-index

1–5 of 34.4K

Institutions

5.5K

1–8 of 5.5K

Venues

Physical Review Letters
PRL · 988 publications · 102.2K citations
151
h-index
Physica D Nonlinear Phenomena
811 publications · 64.3K citations
113
h-index
International Journal of Bifurcation and Chaos
IJBC · 1.6K publications · 64.1K citations
97
h-index
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
PRE · 990 publications · 47.8K citations
96
h-index
Chaos Solitons & Fractals
1.2K publications · 50.2K citations
89
h-index

1–5