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.

Arnold diffusion (and poets of Romania)

     I have had the good fortune to attend two BIRS Math / Creative Writing workshops in Banff (most recently in January 2016) and one of the organizers of these workshops has been Florin Diacu, a Romanian-Canadian mathematician-poet at Canada's University of Victoria. (For a bit more about my interest in Romanian poets, you may visit this posting from 2012 ; for still more, use "Romania" as a blog-search term.)
     Recently I discovered the following poem by Florin in the January 2014 issue of the Journal of Humanistic Mathematics and that online journal's open-access policy permits me to offer it here.  I have wondered whether it is prudent of me to present a poem about Arnold diffusion, a topic about which I have scant mathematical background.  But I like it, even though my understanding is incomplete; I hope you like it too.

A recent butterfly effect

The term butterfly effect has entered everyday vocabulary from the mathematics of chaos theory and refers to the possibility of a major event (such as a tornado) starting from something so slight as the flutter of a butterfly wing. This sensitivity to small changes is a characteristic of chaotic systems.  Recent news in Science magazine (9 May 2014) has drawn my attention to sea butterflies -- and the effect that ocean acidification is having on the lives of these tiny, fragile creatures -- and the environmental warning that this portends.  From the details offered in Science, I have constructed this poem of 4x4 square-stanzas:

       Warned by Sea Butterflies     by JoAnne Growney

       Sea butterflies --
       no larger than
       a grain of sand,
       named for the way  

Love mathematics!

In the stanzas below, I have some fun with math terminology.  Hope you'll enjoy it too.

       Love!        by JoAnne Growney

       Love algebra!  Through variable numbers
       of factored afternoons and prime evenings,
       party in and out of your circle of associates,
       identify your identity,  meet your inverse.  

From order to chaos -- a sonnet

Fractals    by Diana Der-Hovanessian

                             Euclid alone has looked on beauty bare
                                                    --Edna St. Vincent Millay

Euclid alone began to formulate
the relation of circle, plane and sphere
in equations making it quite clear
that symmetry is what we celebrate. 

Shifting patterns

This poem by California poet and scientist Lucille Lang Day weaves a shifting display of images -- the flight patterns of birds made vivid with mathematical terminology. As the poet's observations meander, they build to a question: is a galaxy something like a sparrow?

     Form/Formless      by Lucille Lang Day

     A flock of red-winged blackbirds 
     swooping and swirling 
     in cyclonic and anticyclonic patterns 

     always in motion like Jovian clouds 
     that appear, then disappear 
     according to the mathematics of chaos 
     in yellow, brown and salmon-colored layers 

Chaos and Order -- Stevens

An article by Jeff Gordinier, "For Wallace Stevens, Hartford as Muse," in the Travel Section of last Sunday's NY Times gives a gentle introduction to one of my favorite poets; the article also provoked me to escape for an hour into a rereading of selections from my copy of The Collected Poems (Vintage Books, 1990). Poems by Stevens (1879-1955) celebrate ideas and are, like pieces of mathematics, suggestive of a variety of situations. (Work by Stevens was featured in these earlier blog postings: 15 December 2010 (from "The Snow Man"), 4 May 2011 ("The Anecdote of the Jar"), and  13 May 2011 (from "Six Significant Landscapes"). Here, reconciling opposites, are two of the five sections of Stevens' "Connoisseur of Chaos" -- also from The Collected Poems.

Chaos Over the Hors d'Oeuvres

Some systems of equations can produce vast changes in output with only small changes in input.  Or not.  This sensitivitiy to initial conditions is a key characteristic of chaos.  As happens not infrequently in mathematics, the term chaos also carries larger-world meanings additional to the correct ones -- indeed, the phenomena studied in chaos theory are not haphazardly disordered but are complex.  Very very complex.  Judy Neri's poem addresses this topic. 

Mathematicians at work

     About her collecton, The Scottish Café (Slapering Hol Press, 2002), Susan Case offers this note:
     This series of poems is loosely based upon the experiences of the mathematicians of the Scottish Café, who lived and worked in Lvov, Poland (now L'viv, Ukraine), a center of Eastern European intellectual life before World War II, close to the area from which my own ancestors emigrated to the United States.  A book, known as the Scottish Book, was kept in the Café and used to write down some of their problems and solutions.  Whoever offered a proof might be awarded a prize.
     Here is "Fixed Points," the opening poem from Case's collection:

Poetry inspired by Chaos

Poet Robin Chapman studies the language learning of children -- and has collaborated with physics professor Julien Sprott on a lovely and fascinating collection The Art and Poetry of Chaos:  Images from a Complex World (World Scientific, 2005).  In the following poem Chapman offers (as she does throughout the poetry of the collection) a human interpretation of technical terminology.  

Butterfly Effects

An equation or system of equations is said to be "ill-conditioned" if a small change in input data can produce a very large change in the output.  This inverse relationship between input and output has become popularly known by the phrase "butterfly effect."  Two poets from Eastern Pennsylvania, Gary Fincke and Harry Humes, have written poems about this phenomenon. 

Three poems with the word "axiom"

Poems that contain  "number" are numerous; those with "axiom" are less easily found.  Here are 3 of them -- by 19th century American poet, Emily Dickinson (1830-1886), by Canadian poet and fiction writer, Margaret Atwood (b 1939), and by a poet from Virginia, Lesley Wheeler, whose work I recently have come to know.  I particularly enjoy Lesley's poems about parenthood--because they ring true and also because when I was a parent of young children I was not finding time to write.