$C^1$ WEAKLY CHAOTIC FUNCTIONS WITH ZERO TOPOLOGICAL ENTROPY\ AND NON-FLAT CRITICAL POINTS
V. JIMENEZ LOPEZ
Abstract.
It is proved that there exist $C^1$ unimodal functions analytic in a neighbourhood of their (only) critical point having simultaneously topological entropy zero, wandering intervals and a scrambled set of positive Lebesgue measure.
Compressed Postscript 
