1. introduction
“You could not remove a single grain of
sand from its place without thereby changing
something throughout all
parts of the immeasurable whole.“
Let me introduce you to one of the most mind–blowing theories that is massively affecting
us, yet sort of unknown and underestimated.
The butterfly effect (in chaos theory)
Represents the sensitive dependence on
initial conditions, that is, a very small
change in one state of a deterministic
nonlinear system is associated with
large differences in a later state.
Edward Lorenz coined the term, and
“the butterfly effect” was derived from
the metaphorical example in which the details of a tornado were
influenced by minor perturbations such as flapping of the wings of a
distant butterfly. Lorenz discovered the effect when he observed that runs.
of his weather model with a very small change in initial conditions had
created a significantly different outcome.
The idea that small causes may have large effects in general and in
weather specifically has been earlier recognized by the French
mathematician and engineer Henri Poincaré and the American
mathematician and philosopher Norbert Wiener. .. The idea that one
butterfly could eventually have a far-reaching ripple effect on subsequent
historic events made its earliest known appearance in A Sound of Thunder,
a short story about time travel, written by Ray Bradbury in 1952.
The term butterfly effect was first coined by the American
mathematician, Edward Lorenz. He named the effect based upon an
example of hurricane details like the exact formation time and path
traversed, might be influenced by very minor changes like butterfly wings
flapping quite a number of weeks earlier. This example was of course
metaphorical in nature. Lorenz discovered this effect during the runs of
weather model, where he found out that the initial data that was rounded
of did not produce the same results as the unrounded initial data.