Linear Estimation of the Number of Zeros of Abelian Integrals for Some Cubic Isochronous Centers
Source: Journal of Differential Equations, Volume 180, Number 2, April 2002 , pp. 307-333(27)
Publisher: Academic Press
Abstract:This paper consists of two parts. In the first part we study the relationship between conic centers (all orbits near a singular point of center type are conics) and isochronous centers of polynomial systems. In the second part we study the number of limit cycles that bifurcate from the periodic orbits of cubic reversible isochronous centers having all their orbits formed by conics, when we perturb such systems inside the class of all polynomial systems of degree n. © 2002 Elsevier Science (USA).
Document Type: Research Article
Publication date: April 1, 2002