This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A087089 Periods of logistic map intervals in order of size. 2
 1, 2, 4, 8, 3, 6, 16, 6, 5, 12, 10, 12, 32, 12, 10, 4, 5, 7, 24, 24, 20, 20, 8, 8, 7, 24, 10, 14, 9, 64, 24, 10, 16, 14, 20, 8, 18, 14, 9, 48, 48, 14, 20, 40, 6, 48, 16, 9, 40, 40, 7, 18, 48, 16, 20, 16, 28, 18, 9, 28 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The region of stability for period 8 after the point where period 4 splits in two is from 3.5440903596 to 3.5644072661 or a width of .0203169065. The period 3 cycle starts at 3.8284271247 = 1+sqrt(8) and ends at 3.8414990075, a width of .0130718828. This is less than that of period 8 so it follows it in sequence. The logistic map is just the real part of the Mandelbrot set. The equation f(x)=a*x(1-x), f2(x)=f(f(x)) has a period 3 oscillation whenever 3.82843

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 20 06:02 EDT 2019. Contains 326139 sequences. (Running on oeis4.)