Mestel, B. D.; Osbaldestin, A. H. and Tsygvintsev, A. V.
Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling.
Communications in Mathematical Physics, 250(2) pp. 241–257.
We establish rigorous bounds for the unstable eigenvalue of the period-doubling renormalization operator for asymmetric unimodal maps. Herglotz-function techniques and cone invariance ideas are used. Our result generalizes an established result for conventional period doubling.
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