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

Author

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  • Xu, Wenjing
  • Lu, Kai
  • Yang, Ting
  • Fu, Yun

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.

Suggested Citation

  • Xu, Wenjing & Lu, Kai & Yang, Ting & Fu, Yun, 2025. "Shilnikov chaos in a buck-boost converter governed by 3D non-smooth systems," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p2:s096007792500788x
    DOI: 10.1016/j.chaos.2025.116775
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