Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants

In this paper we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.

Bibliographic Details
Authors: Llibre, Jaume|||0000-0002-9511-5999, Oliveira, Regilene|||0000-0002-9628-5180
Format: article
Publication Date:2015
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:145345
Online Access:https://ddd.uab.cat/record/145345
https://dx.doi.org/urn:doi:10.1142/S0219199714500187
Access Level:Open access
Keyword:Darboux invariant
Phase portrait
Quadratic vector fields
Description
Summary:In this paper we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.