6 Maps and their bifurcation

6.5 Other concepts: intermittancy, Lyapunov exponent and the route to chaos

There are other important concepts motivated from maps, like

• Complex iterations from fractals (Julia sets)
• Chaos and its characterisation (sensitive dependence on initial data, existence of ``strange attractor'', . . .)
• Intermittency (jumping between nearly periodic and chaotic motions) in chaotic regime
• Lyapunov exponents (rate of separation of close trajectories)

These concepts will be briefly mentioned (you will see them more in books for popular audience), but will not appear in the final exam.