【摘要】 利用蒙特卡罗法搜索饰带群(FriezeGroups)等价映射动力系统参数空间上的具有吸引周期轨道的参数向量.根据这些参数向量下动力系统中吸引周期轨道的吸引域,构造出饰带群广义充满Julia集.提出吸引周期算法与吸引轨道算法构造饰带群等价映射动力系统广义充满Julia集.大量生成优美的饰带群广义充满Julia集,增加了非线性动力系统计算机图形化的新图案.更多还原

【Abstract】 Monte Carlo method is employed to search the parameter vectors attracting periodic orbits from parameter space of dynamical system in equivalent mappings of frieze group. The filled-in Julia sets with the symmetry of frieze group are constructed based on the attracting fields of dynamical system with these parameter vectors. Two algorithms for generating filled-in Julia are proposed. Lots of attractive filled-in Julia sets are constructed, which increase the novelty of pattern of computer graphics for the visual presentation of nonlinear dynamical systems.更多还原