Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields
type: Item
instance of: scholarly article
title: Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields
zbMATH Open document ID: 1490.34029
author: Montserrat Corbera
author: Claudia Valls
published in: Nonlinear Analysis. Real World Applications
publication date: 2021-12-15T00:00:00Z
review text: In this paper, the authors completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin. To sum up, the method in this paper is technical and the result is interesting.
reviewed by: Jihua Yang
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 7446157
zbMATH Keywords: polynomial Hamiltonian systems
zbMATH Keywords: nilpotent saddle
zbMATH Keywords: phase portrait
zbMATH Keywords: Poincaré compactification
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2021.103451
OpenAlex ID: W3212847365
cites work: Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
cites work: Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
cites work: Bifurcation diagrams for Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
cites work: Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
cites work: Saddle quantities and applications
cites work: Quadratic systems with an integrable saddle: a complete classification in the coefficient space \(\mathbb R^{12}\)
cites work: Qualitative theory of planar differential systems
cites work: A SURVEY ON THE BLOW UP TECHNIQUE
DOI: 10.1016/J.NONRWA.2021.103451
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description: scientific article; zbMATH DE number 7446157