Hopf bifurcations of planer piecewise smooth differential systems with two parameters

Wencheng Wu and Shimin Li

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

Abstract: This paper investigates the two-parameter unfolding of planar piecewise smooth differential systems with monodromic singularities. Under generic conditions, we identify the occurrence of various Hopf-type bifurcations, including Hopf-like bifurcations, degenerate Hopf-like bifurcations, pseudo-Hopf bifurcations, and pseudo-Bautin bifurcations. The corresponding bifurcation diagram for the two parameters is also presented.

Keywords: Hopf-like bifurcation; Piecewise smooth systems; Pseudo Hopf bifurcation (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:s0960077925007714

DOI: 10.1016/j.chaos.2025.116758

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