Second-order bifurcation of limit cycles from a quadratic reversible center
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Date
2017-03-28
Authors
Peng, Linping
Huang, Bo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Hamiltonian system, Bifurcation, Limit cycles, Perturbation, Averaging method, Quadratic center
Citation
Peng, L., & Huang, B. (2017). Second-order bifurcation of limit cycles from a quadratic reversible center. <i>Electronic Journal of Differential Equations, 2017</i>(89), pp. 1-17.
Rights
Attribution 4.0 International