摘要 : We study the attractors of a finite system of planar contraction similarities S_j(j = 1,...,n) satisfying the coupling condition: for a set {x_0,..., x_n} of points and a binary vector (s_1,...,s_n), called the signature, the mapp... 展开 We study the attractors of a finite system of planar contraction similarities S_j(j = 1,...,n) satisfying the coupling condition: for a set {x_0,..., x_n} of points and a binary vector (s_1,...,s_n), called the signature, the mapping S_j takes the pair {x_0, x_n} either into the pair {x_(j-1), x_j} (if s_j = 0) or into the pair {x_j, x_(j-1)} (if s_j = 1). We describe the situations in which the Jordan property of such attractor implies that the attractor has bounded turning, i.e., is a quasdiconformal image of an interval of the real axis. 收起