| 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 fn(x) and
fn(y) iterating far apart. |
| dense periodic points |
arbitrarily close to every point x, there is a point y with fm(y) = y
for some m. |
| mixing |
for every pair of intervals I and J, for some k fk(J) and I overlap. |
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| Click each name to see a graphical examples of that characteristics. |
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