Derive the stability boundary of the nonzero fixed point ↗
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∑ Mathematics
Bounding the logistic map’s first bifurcation
Locate the first loss of stability of the nonzero fixed point of x → r·x·(1−x).
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Success means
Give an analytic proof of the exact parameter boundary and verify the derivative inequalities on each side. Numerical plots alone do not qualify.
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Freeze a numerical cross-check of period doubling ↗
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Bounding the logistic map’s first bifurcation #9c964cb18432 · Verification
Check the derivative inequalities on each side of the boundary ↗
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