According to Devaney, a function
f:R → R exhibits deterministic chaos
if it satisfies three properties: 
sensitivity to initial conditions 
arbitrarily close to every point x, there is a point y with f^{n}(x) and
f^{n}(y) iterating far apart. 
dense periodic points 
arbitrarily close to every point x, there is a point y with f^{m}(y) = y
for some m. 
mixing 
for every pair of intervals I and J, for some k f^{k}(J) and I overlap. 

Click each name to see a graphical examples of that characteristics. 
