Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling

Mestel, B. D.; Osbaldestin, A. H. and Tsygvintsev, A. V. (2004). Bounds on the unstable eigenvalue for the asymmetric renormalization operator for period doubling. Communications in Mathematical Physics, 250(2) pp. 241–257.

DOI: https://doi.org/10.1007/s00220-004-1143-2

Abstract

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.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI