论文标题
逻辑图上的模式:返回前面
Patterns on logistic map: back to front
论文作者
论文摘要
最近,在混乱状态的逻辑地图轨道中发现了最不重要的数字模式。但是,这些数字的动态并未在深处探索。我们基于探索数字的动力学,对在混乱制度中最不重要的数字中发现的模式提出了一种新的解释。我们通过动态迭代方法探索了这些数字的低位置。当探索了最小显着的数字的动态时,发现具有对离散系统的固定和周期点的动态类似物的周期性和固定数字。定期指定的数字指定的周期尺寸,独立于参数控制或初始条件。固定数字具有吸引力和稳定性特征,例如固定点。该分析表明,逻辑图的最小数字具有特征动力学。
Recently patterns were found in the least significant digits in the logistic map orbits in the chaotic regime. However, the dynamic of these digits was not explored in deep. We propose a new interpretation of the patterns found in the least significant digits of the logistic map in a chaotic regime, based on exploring the digits' dynamics. We explored these digits by the dynamic iteration method for low positions. When the dynamic of the least significant digits was explored, periodic and fixed digits were found with dynamic analogs to fixed and periodic points of discrete systems. Periodic digits designated well-established period sizes, which are independent of parameter control or initial condition. Fixed digits have attraction and stability characteristics, such as fixed points. This analysis demonstrates that the logistic map's least significant digits have characteristic dynamics.