  In this article we propose an algebraic system, which is an abelian group
$(A,+)$ with a family of non-associative and non-(left)distributive
multiplications $\{\cdot_{\lambda}\}_{\lambda\in H}$. We call this algebraic
system dynamical brace. The dynamical brace corresponds to a certain dynamical
Yang-Baxter map (which is left nondegenerate and satisfy the unitary
condition). Combinatorial aspects of the dynamical brace give us a
correspondence between the dynamical brace and a certain family of subsets of
$A\rtimes Aut(A)$. From this viewpoint we give an interpretation and examples
of the dynamical brace.
