A Surprising Result!

There is a surprising connection between the features of chaos we have depicted.

It turns out that transitive systems with dense periodic states always have sensitive dependence.

This was discovered in 1992 by a group of five La Trobe mathematicians.

This was certainly surprising to us when we discovered it.

Does it surprise you?

It is remarkable that it is true for any discrete dynamical system.
Drs. Banks, Brooks, Cairns, Davis and Stacey.

It was quite a significant finding in the theory of chaos.

It meant that the one of the most popular definitions of chaos, the one suggested by Professor Bob Devaney of Boston University became simpler, easier to apply in practice and better understood by mathematicians.