Showing posts with label Feigenbaum. Show all posts
Showing posts with label Feigenbaum. Show all posts

Friday, October 14, 2016

From order to chaos -- "Fig Tree Rag"

     Robert Dawson, a mathematician and poet from Halifax, Nova Scotia, is wide-ranging in the mathematics that he includes in poetry.  Here is a link to my posting of his "Statistical Lament."  Still others may be found with a SEARCH using the poet's name.
     Dawson's poem below is motivated by chaos and period doublings -- and their patterns -- a complicated system that, under certain conditions approaches a number called Feigenbaum's constant.  (Mitchell Feigenbaum is a mathematical physicist who did pioneering work in chaos theory.   "Feigenbaum" is a German surname meaning "Fig Tree" -- hence the title of the poem.)  Probably you will want to read the poem aloud to get a feel for the rhythmic patterns -- and chaos -- that Dawson has designed for us. 

Fig Tree Rag    (after Scott Joplin)   by Robert Dawson

The music drifts across the room:
from clarinet and saxophone
a sliding stream of melody,
piano chords beneath it, and
upon the cymbal and the snare
the drummer paints a lazy beat
with wire brushes, regular
and cool and uninflected as
a music teacher’s metronome.