Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems
Date
2017-03-14
Authors
Bendjeddou, Ahmed
Cheurfa, Rachid
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitly given was presented. As an improvement, we obtain by a new method a similar result for a family of quintic polynomial differential systems.
Description
Keywords
Non-algebraic limit cycle, Invariant curves, Poincare return-map, First integral, Riccati equation
Citation
Bendjeddou, A., & Cheurfa, R. (2017). Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems. <i>Electronic Journal of Differential Equations, 2017</i>(71), pp. 1-7.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.