  In [Ergodic Theory Dynam. System, 16 (1996) 663--682], S. Ferenczi proved
that any minimal subshift with first difference of complexity bounded by 2 is
$S$-adic with $\card S \leq 3^{27}$. In this paper, we improve this result by
giving an $S$-adic charaterization of these subshifts with a set $S$ of 5
morphisms, solving by this way the $S$-adic conjecture for this particular
case.

Discrete Mathematics;Combinatorics