Subcritical pitchfork conjecture for the Ren–Wei branch
Subcritical pitchfork conjecture for the Ren–Wei branch
Let be the fissility parameter and let be the bifurcation value. The Ren–Wei branch is the equilibrium branch emerging at this bifurcation. Subcritical pitchfork conjecture. The bifurcation at is of subcritical pitchfork type. The equilibrium on the Ren–Wei branch exists only for and is unstable. This conjecture is proposed in opposition to the supercritical scenario, based on the paper's numerical results; the supplied text gives no rigorous resolution.
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Primary source
Zirui Xu and Qiang Du, “Bifurcation and fission in the liquid drop model: a phase-field approach”, arXiv:2302.14449 (2023).
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