论文标题
超复合迭代功能系统
Hypercomplex Iterated Function Systems
论文作者
论文摘要
我们在完整的度量空间$（\ Mathbb {a} _ {n+1}^k，d）$上介绍了超复合迭代功能系统（IFS）的新颖概念，并定义了其超复杂的吸引子。还引入了由超复合IFSS及其后轨迹产生的超复合功能系统的系统，并表明这种后退轨迹的吸引子具有不同的局部（分形）形状。
We introduce the novel concept of hypercomplex iterated function system (IFS) on the complete metric space $(\mathbb{A}_{n+1}^k,d)$ and define its hypercomplex attractor. Systems of hypercomplex function systems arising from hypercomplex IFSs and their backward trajectories are also introduced and it is shown that the attractors of such backward trajectories possess different local (fractal) shapes.
