On a class of cubic systems with two centers
type: Item
instance of: scholarly article
title: On a class of cubic systems with two centers
zbMATH Open document ID: 0668.34034
DOI: 10.1007/BF03323214
author: Roberto Conti
published in: Results in Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Consider the system \(\dot x=P(x,y)\), \(\dot y=Q(x,y)\) where P, Q are two real polynomials of \((x,y)\in {\mathbb{R}}^ 2\) of relatively prime degrees \(\leq k\) with one at least of degree k. It is shown that certain cubic systems with two centers and no other singular points can have a rectilinear trajectory or none, but cannot have two such trajectories. Three examples are discussed.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 4093938
zbMATH Keywords: cubic systems
zbMATH Keywords: centers
zbMATH Keywords: examples
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4093938