Kovalevskaya's method in rigid body dynamics

International audienc

On the analytic non-integrability of the Rattleback problem

International audienc

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

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