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Control of chaotic advection

Tounsia Benzekri·Cristel Chandre·Xavier Leoncini·Ricardo Lima·Michel Vittot·Arnaud Goullet·Nadine Aubry
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Abstract

A method of chaos reduction for Hamiltonian systems is applied to control chaotic advection. By adding a small and simple term to the stream function of the system, the construction of invariant tori has a stabilization effect in the sense that these tori act as barriers to diffusion in phase space and the controlled Hamiltonian system exhibits a more regular behaviour.

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Tounsia Benzekri, Cristel Chandre, Xavier Leoncini, Ricardo Lima, Michel Vittot, Arnaud Goullet, Nadine Aubry. 2006-10-03. Control of chaotic advection. https://arxiv.org/abs/nlin/0610002

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