Infinite order automorphisms of free periodic groups of sufficiently large exponent

In this paper we construct infinite order automorphisms of free periodic groups $B(m,n)$ of sufficiently large period $n$ with $m\geq2$ generators. From the obtained results it follows that the quotient group of the group $\mathrm{Aut}(B(m,n))$ with respect to normal subgroup of inner automorphisms is infinite.