Abstract
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.
Original language | English |
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Pages (from-to) | 299-312 |
Number of pages | 14 |
Journal | Journal of Physics A: Mathematical and general |
Volume | 39 |
Publication status | Published - 2006 |
Keywords
- Chaos in fluid dynamics
- Frequency Map Analysis
- applications of chaos
- Control of chaos