Artículos de revistas
Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems
Date
2014-04-01Registration in:
Qualitative Theory Of Dynamical Systems. Basel: Springer Basel Ag, v. 13, n. 1, p. 129-148, 2014.
1575-5460
10.1007/s12346-014-0109-9
WOS:000334414100007
Author
Univ Autonoma Barcelona
Universidade Estadual Paulista (Unesp)
Institutions
Abstract
We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers(x) over dot = y(-1 + 2 alpha x + 2 beta x(2)), (y) over dot = x + alpha(y(2) - x(2)) + 2 beta xy(2), alpha is an element of R, beta < 0,when it is perturbed inside the classes of all continuous and discontinuous cubic polynomial differential systems with two zones of discontinuity separated by a straight line. We obtain that this number is 3 for the perturbed continuous systems and at least 12 for the discontinuous ones using the averaging method of first order.