We prove the existence of invariant curves for a T-periodic Hamiltonian system which models a fluid stirring in a cylindrical tank, when T is small and the assigned stirring protocol is piecewise constant. Furthermore, using the numerical analysis of the fundamental frequency of Laskar, we investigate numerically the break down of invariant curves as T increases and we give a quantitative estimate of the efficiency of the mixing.
|Number of pages||14|
|Journal||Journal of Physics A: Mathematical and general|
|Publication status||Published - 2006|
- Chaos in fluid dynamics
- Frequency Map Analysis
- applications of chaos
- Control of chaos