Restrictions on the possible flows of scalar retarded functional differential equations in neighborhoods of singularities

Normal Forms for Retarded Functional Differential Equations with Parameters and Applications to Hopf Bifurcation

Teresa Faria, Luis T. Magalhães · Journal of Differential Equations · 1995 · 428 citations

Hopf Bifurcation, Normal Forms, Oscillation Theory +4

Normal Forms for Retarded Functional Differential Equations and Applications to Bogdanov-Takens Singularity

Teresa Faria, Luis T. Magalhães · Journal of Differential Equations · 1995 · 306 citations

Normal Forms, Generalized Function, Singularly Perturbed Problem +3

Integral averaging and bifurcation

Shui-Nee Chow, John Mallet‐Paret · Journal of Differential Equations · 1977 · 231 citations

Integral Averaging, Oscillation Theory, Bifurcation Theory +1

Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvalues

Functional Analysis and Its Applications · 1975 · 229 citations

Vector Field, Versal Deformations, Geometric Singular Perturbation Theory +1

Subordinate Šil'nikov bifurcations near some singularities of vector fields having low codimension

Hendrik Broer, Gert Vegter · Ergodic Theory and Dynamical Systems · 1984 · 87 citations · Full text

Vector Fields, Low Codimension, Singularly Perturbed Problem +9