Singularities of vector fields on
From MaRDI portal
Publication:4208721
DOI10.1088/0951-7715/11/4/015zbMath0907.58051OpenAlexW2022211455MaRDI QIDQ4208721
Freddy Dumortier, Santiago Ibáñez
Publication date: 4 March 1999
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/11/4/015
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (15)
Breakdown of a 2D heteroclinic connection in the Hopf-zero singularity. I ⋮ Stability of vector fields on \({\mathbb{R}}^ 3\) determined by the first non- vanishing jet ⋮ The k-Zero Bifurcation Theorem for m-Parameterized Systems ⋮ The singularity \(x\partial /\partial y\) ⋮ Unnamed Item ⋮ Singular semi-Riemannian geometry ⋮ Two-parameter bifurcations in a network of two neurons with multiple delays ⋮ Bifurcation Control and Universal Unfolding for Hopf-Zero Singularities with Leading Solenoidal Terms ⋮ Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect ⋮ On typical homoclinic-like loops in 3D Filippov systems ⋮ High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities ⋮ A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING ⋮ A formal classification of Hopf-Bogdanov-Takens singularities of codimension three ⋮ A class of vectorfields on \(S^ 2\) that are topologically equivalent to polynomial vectorfields ⋮ Smooth invariant curves for germs of vector fields in \({\mathbb{R}}^ 3\) whose linear part generates a rotation
This page was built for publication: Singularities of vector fields on
