更改

跳到导航 跳到搜索
删除845字节 、 2022年1月9日 (日) 13:41
第51行: 第51行:     
:<math>x_{t+1}=rx_t(1-x_t), \qquad 0 \leq x_t \leq 1, \qquad 0 \leq r \leq 4</math>
 
:<math>x_{t+1}=rx_t(1-x_t), \qquad 0 \leq x_t \leq 1, \qquad 0 \leq r \leq 4</math>
  −
  −
For ''r'' between 0 and 1, 0 is the sole periodic point, with period 1 (giving the sequence 0, 0, 0, ..., which [[attractor|attracts]] all orbits). For ''r'' between 1 and 3, the value 0 is still periodic but is not attracting, while the value {{nowrap|(''r'' −&thinsp;1) /&thinsp;''r''}} is an attracting periodic point of period 1. With ''r'' greater than 3 but less than 1 + {{radic|6}}, there are a pair of period-2 points which together form an attracting sequence, as well as the non-attracting period-1 points 0 and {{nowrap|(''r'' −&thinsp;1) /&thinsp;''r''}}. As the value of parameter ''r'' rises toward 4, there arise groups of periodic points with any positive integer for the period; for some values of ''r'' one of these repeating sequences is attracting while for others none of them are (with almost all orbits being chaotic).
  −
  −
        第64行: 第59行:  
* 当参数<math>r</math>的值上升到4时,会出现周期为正的一组周期点;
 
* 当参数<math>r</math>的值上升到4时,会出现周期为正的一组周期点;
 
* 对于<math>r</math>的某些值,这些重复序列中的一个被吸引,而对于其他值,则没有一个被吸引(几乎所有的轨道都是混乱的)。
 
* 对于<math>r</math>的某些值,这些重复序列中的一个被吸引,而对于其他值,则没有一个被吸引(几乎所有的轨道都是混乱的)。
 +
 +
<br>
    
==[[动力系统]]==
 
==[[动力系统]]==
7,129

个编辑

导航菜单