Shilnikov chaos in a buck-boost converter governed by 3D non-smooth systems

Wenjing Xu, Kai Lu, Ting Yang and Yun Fu

Chaos, Solitons & Fractals, 2025, vol. 199, issue P2

Abstract: Previous literature mainly focused on studying the coexistence of same-type singular cycles, such as the case of homoclinic cycles or heteroclinic cycles. This paper investigates coexisting homoclinic and heteroclinic cycles, which better illustrate the richness of nonlinear characteristics, in a buck-boost converter generated by three-dimensional piecewise affine systems. By analyzing the dynamics of the considered system in specific regions, the sufficient conditions for coexistence of homoclinic and heteroclinic cycles are established. Furthermore, a criterion for identifying chaos is proposed, and it is rigorously proven that chaos arises only from such coexisting cycles. A concrete example is finally provided to validate the effectiveness of the theoretical results through numerical analysis.

Keywords: Chaos; Homoclinic cycle; Heteroclinic cycle; Piecewise system; Poincaré map (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p2:s096007792500788x

DOI: 10.1016/j.chaos.2025.116775

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