The logistic map is $f_\lambda(x)=\lambda x (1-x)$. It is known that the map is chaotic for $\lambda=4$ (on $[0;1]$) and also for $\lambda>0$ (on some hyperbolic subset of $[0,1]$). My question is:

For which parameters $\lambda \in (3,4)$ is the logistic map $f_\lambda$ chaotic?