Uniqueness of limit cycles for a class of planar vector fields

2004/09/21 by Timoteo Carletti, Timotéo Carletti, Carletti, Timoteo
Mathematics · #Advanced Differential Equations and Dynamical Systems #math.CA #math.DS #msc:34C07

paper · pdf · doi:10.48550/arxiv.math/0409387

8 pages, 2 figures

arxiv created 2004/09/21 · arxiv updated 2009/12/01

Abstract

In this paper we give sufficient conditions to ensure uniqueness of limit cycles for a class of planar vector fields. We also exhibit a class of examples with exactly one limit cycle.

Related

• Uniqueness of Limit Cycles for Quadratic Vector Fields
• Limit Cycles of Piecewise Smooth Vector Fields Formed by Rigid Systems and Linear Centers
• On the number of limit cycles which appear by perturbation of two-saddle cycles of planar vector fields
• Limit cycles for planar semi-quasi-homogeneous polynomial vector fields
• Limit cycles of planar vector fields: Hilbert's 16th problem and o-minimality