Concepedia

Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity

Inmaculada Baldomá, O. Castejón, Tere M. Seara

Journal of Dynamics and Differential Equations · 2013 · 26 citations · 10 references

DOIFull text

Open access

Concepts

References

10

Nonlinear oscillations, dynamical systems, and bifurcations of vector fields

Jack D. Cowan · Mathematical Biosciences · 1986 · 1.1K citations

, , +16

On the Stability of the Center for Time Periodic Perturbations

V. K. Mel’nikov · Medical Entomology and Zoology · 1963 · 976 citations

, , +12

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

, , +13

Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom

Amadeu Delshams, Tere M. Seara · University of Minnesota Digital Conservancy (University of Minnesota) · 1997 · 59 citations · Full text

, , +8

Melnikov method and exponentially small splitting of separatrices

Vassili Gelfreich · Physica D Nonlinear Phenomena · 1997 · 59 citations

, , +11