The k-Zero Bifurcation Theorem for m-Parameterized Systems
type: Item
instance of: scholarly article
title: The k-Zero Bifurcation Theorem for m-Parameterized Systems
zbMATH Open document ID: 1397.34066
DOI: 10.1142/S0218127418501006
author: Martin A. Carrillo
author: Fernando Verduzco
author: Francisco A. Carrillo
publication date: 2018-08-28T00:00:00Z
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C45
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6928086
zbMATH Keywords: \(k\)-zero bifurcation
zbMATH Keywords: center manifold theory
zbMATH Keywords: unfolding
MaRDI profile type: Publication
cites work: Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
cites work: ANALYSIS OF THE TAKENS–BOGDANOV BIFURCATION ON m-PARAMETERIZED VECTOR FIELDS
cites work: Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3
cites work: Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
cites work: Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields
cites work: Singularities of vector fields on
cites work: New aspects in the unfolding of the nilpotent singularity of codimension three
cites work: A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS
cites work: Asymptotic unfoldings of dynamical systems by normalizing beyond the normal form
cites work: An equation for continuous chaos
full work available at URL: s0218127418501006
OpenAlex ID: W2887877716
Wikidata QID: Q129395116
published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
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description: scientific article; zbMATH DE number 6928086