Chaos Part of 12/31 ions which measure the change in little j | Blinkist Summary Book

Chaos
Part of 12/31

ions which measure the change in little jumps – year by year for instance.
A realistic difference equation that describes how the gypsy moth population changes year by year needs to restrain growth after a certain point. The simplest equation that fulfills this criterion is a logistic differential equation. For a long time biologists believed that this type of equation would always reach an equilibrium – just as the animal population would.
Ecologist Robert May experimented with a logistic differential equation when he made a startling discovery. May found that if he ramped up the level of “boom-and-bustiness” of his fictional animal population it would start behaving strangely. First the periodic cycles of the population would double in time then double again – looping into so-called period-doubling bifurcations . Eventually the whole system would turn chaotic.
May turned to his mathematician friend James Yorke to find an explanation. In his seminal paper “Period Three Implies Chao