Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincaré disc

We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.

Bibliographic Details
Authors: Bolaños Rivera, Yudy Marcela, Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Format: article
Publication Date:2014
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:150726
Online Access:https://ddd.uab.cat/record/150726
https://dx.doi.org/urn:doi:10.1142/S0219199713500417
Access Level:Open access
Keyword:Darboux invariant
Phase portrait
Poincaré compactification
Poincaré disk
Quadratic Lotka-Volterra systems
Description
Summary:We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.

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