Article ID Journal Published Year Pages File Type
840046 Nonlinear Analysis: Theory, Methods & Applications 2014 16 Pages PDF
Abstract

In this paper we study bifurcation of critical periods by perturbing a nonlinear vector field containing mm-th degree homogeneous terms with a rigidly isochronous center at the origin. First, we give expressions of period bifurcation functions in the form of integrals, and then study the number of critical periods for cases of m=1,2,3m=1,2,3 respectively.

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