Abstract
This paper focuses on bifurcation of critical periods by perturbing a rigidly isochronous center with multiple parameters. First, we give expressions of period bifurcation functions (PBF for short) in the form of integrals, and then study the first PBF T1(ρ, λ) with a new method. Compared with the result in [Liu & Han, 2014], more critical periods can be found by our method.
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