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Periodic Solutions Bifurcating From a Curve of Singularity of the Jerk System

2020
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Zanco Journal of Pure and Applied Sciences
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A B S T R A C T: We investigate a periodic solution which bifurcates from a curve of the singularity of the jerk system in .More precisely, we give the explicit states for the existence of a periodic solution of the jerk system with a nonisolated singular point, where for each singular point has a simple pair of purely imaginary and one zero eigenvalues. We recall for this point of singularity as a zero-Hopf (z-H) singular point. The coefficients in the jerk system are described for which the

doi:10.21271/zjpas.32.2.6
fatcat:fejkvbdk7bev5hx3anxurflwrq