Normal forms of polynomial differential systems in \(\mathbb{R}^3\) having at least three invariant algebraic surfaces
type: Item
instance of: scholarly article
title: Normal forms of polynomial differential systems in \(\mathbb{R}^3\) having at least three invariant algebraic surfaces
zbMATH Open document ID: 1479.34070
author: Najmeh Khajoei
author: M. R. Molaei
publication date: 2021-08-20T00:00:00Z
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C45
Mathematics Subject Classification ID: 58K50
zbMATH DE Number: 7383969
zbMATH Keywords: normal form
zbMATH Keywords: invariant algebraic surface
zbMATH Keywords: polynomial vector field
MaRDI profile type: Publication
full work available at URL: s12215-020-00537-y
OpenAlex ID: W3048176753
cites work: Bounded Polynomial Vector Fields
cites work: Integrability and nonintegrability of dynamical systems
cites work: Equations de Pfaff algébriques
cites work: RATIONAL FIRST INTEGRALS FOR POLYNOMIAL VECTOR FIELDS ON ALGEBRAIC HYPERSURFACES OF ℝn+1
cites work: Normal Forms for Polynomial Differential Systems in ℝ3 Having an Invariant Quadric and a Darboux Invariant
cites work: The 16th Hilbert problem restricted to circular algebraic limit cycles
cites work: Rational first integrals in the Darboux theory of integrability in \(\mathbb C^n\)
cites work: Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
cites work: Integrability and dynamics of quadratic three-dimensional differential systems having an invariant paraboloid
cites work: Hyperbolic dynamics of discrete dynamical systems on pseudo-Riemannian manifolds
cites work: Topological cocycles
cites work: Inverse approach to study the planar polynomial vector field with algebraic solutions
cites work: Generic Properties of Polynomial Vector Fields at Infinity
DOI: 10.1007/S12215-020-00537-Y
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 7383969