Bi-center conditions and local bifurcation of critical periods in a switching Z2 equivariant cubic system

Ting Chen, Lihong Huang, Wentao Huang and Wenjie Li

Chaos, Solitons & Fractals, 2017, vol. 105, issue C, 157-168

Abstract: In this study, we consider bi-centers and local bifurcation of critical periods for a switching Z2 equivariant cubic system. We give the necessary and sufficient conditions for the system to have bi-centers at the symmetrical singular points ( ± 1, 0). We develop a method for computing the period constants near the center of switching systems and use this method to study bifurcation of critical periods for a switching system. We further find the existence of 10 local critical periods bifurcating from these bi-centers.

Keywords: Switching system; Z2 equivariant system; Lyapunov constant; Bi-center; Bifurcation of critical periods (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:105:y:2017:i:c:p:157-168

DOI: 10.1016/j.chaos.2017.10.024

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