Second-order bifurcation of limit cycles from a quadratic reversible center

Autor: Linping Peng, Bo Huang
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2017, Iss 89,, Pp 1-17 (2017)
Druh dokumentu: article
ISSN: 1072-6691
Popis: This article concerns the bifurcation of limit cycles from a quadratic integrable and non-Hamiltonian system. By using the averaging theory, we show that under any small quadratic homogeneous perturbation, there is at most one limit cycle for the first order bifurcation and two for the second-order bifurcation arising from the period annulus of the unperturbed system, respectively. Moreover, in each case the upper bound is sharp.
Databáze: Directory of Open Access Journals