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- W4213308522 abstract "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 z-H singularity occur at each point of that curve of singularity. We show that for each point at that curve of singularity there is only one family of parameters which exhibits such type of singular points. The method of averaging in the second order is utilized to determine one periodic solution which bifurcates from any point of that curve of singularity. As far as, we realize that this investigation is the study on bifurcations from a curve of nonisolated z-H singularity to provide a periodic solution via the method of averaging. Under a generic small perturbation at the parameters, we prove that a periodic solution will be bifurcated at any point that located on a curve of a singularity of the jerk system." @default.
- W4213308522 created "2022-02-24" @default.
- W4213308522 creator A5054853820 @default.
- W4213308522 date "2020-04-21" @default.
- W4213308522 modified "2023-09-27" @default.
- W4213308522 title "Periodic Solutions Bifurcating From a Curve of Singularity of the Jerk System" @default.
- W4213308522 doi "https://doi.org/10.21271/zjpas.32.2.6" @default.
- W4213308522 hasPublicationYear "2020" @default.
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