Encyclopedia > Feigenbaum constant

  Article Content

Feigenbaum constant

There are two mathematical constants called Feigenbaum constants. Both express ratios in a bifurcation diagram. <math>\delta = 4.6692\cdots </math> is the ratio between successive bifurcation intervals, or between the diameters of successive circles on the axis of the Mandelbrot set. <math>\alpha = 2.5029\cdots</math> is the ratio between the width of a tine and the width of one of its two subtines (except the tine closest to the fold).

These numbers apply to a large class of dynamical systems, not just to the logistic map.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
Sanskrit language

... are the voiced and voiceless h (the voiceless h, called the visarga[?], tends to repeat the preceding vowel after itself) and the anusvaara, which often appear ...

 
 
 
This page was created in 81.4 ms