In 1973 it had been conjectured that the behaviour of the logistic equation was the same in a qualitative sense for all g(x) which have a maximum value and decrease monotonically on either side of this maximum. The remarkable result obtained by Feigenbaum was to show that not only was the behaviour qualitatively similar but there was a very precise mathematical result which held for all such logistic equations.
Sa 1973 ito had been conjectured na ang pag-uugali ng logistic equation ay ang parehong sa husay ng kahulugan para sa lahat ng g (x) na magkaroon ng isang pinakamataas na halaga at bumaba monotonically sa alinman sa tabi ng maximum na ito. Kapuna-puna ang resulta na nakuha sa pamamagitan ng Feigenbaum ay upang ipakita na hindi lamang ay ang pag-uugali dapat sundin katulad na ngunit may isang tiyak na matematiko resulta kung saan gaganapin para sa lahat ng tulad logistic equation.