Quadratic Models for Generic Local 3-Parameter Bifurcations on the Plane
From MaRDI portal
Publication:3979965
DOI10.2307/2001857zbMath0737.58039OpenAlexW4230916870MaRDI QIDQ3979965
Freddy Dumortier, Peter Fiddelaers
Publication date: 26 June 1992
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2001857
Related Items (14)
Adjoint operator method and normal forms of higher order for nonlinear dynamical system ⋮ Exact number of limit cycles for a family of rigid systems ⋮ Structurally unstable quadratic vector fields of codimension two: families possessing either a cusp point or two finite saddle-nodes ⋮ Hydra effect and global dynamics of predation with strong Allee effect in prey and intraspecific competition in predator ⋮ Bogdanov–Takens bifurcation with codimension three of a predator–prey system suffering the additive Allee effect ⋮ On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems ⋮ Bifurcations on a five-parameter family of planar vector field ⋮ Singular perturbations and vanishing passage through a turning point ⋮ Homoclinic Loop and Multiple Limit Cycle Bifurcation Surfaces ⋮ Invariant conditions for phase portraits of quadratic systems with complex conjugate invariant lines meeting at a finite point ⋮ Book Review: Limit cycles of differential equations ⋮ Uniqueness of the limit cycles for complex differential equations with two monomials ⋮ Local bifurcations and a survey of bounded quadratic systems ⋮ From topological to geometric equivalence in the classification of singularities at infinity for quadratic vector fields
Uses Software
This page was built for publication: Quadratic Models for Generic Local 3-Parameter Bifurcations on the Plane