Phase portraits of Abel quadratic differential systems of the second kind

We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.

Bibliographic Details
Authors: Ferragut Amengual, Antoni Manel|||0000-0002-7420-5004, Valls, Clàudia|||0000-0001-8279-1229
Format: article
Publication Date:2018
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:221315
Online Access:https://ddd.uab.cat/record/221315
https://dx.doi.org/urn:doi:10.1080/14689367.2017.1402296
Access Level:Open access
Keyword:Abel differential equation of second kind
Kukles differential system
Quadratic differential system
Phase portrait
Description
Summary:We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.