13 citations · 29 across the 6 of their papers we have counts for
6 papers
The multi-patch logistic equation with asymmetric migration
Bilel Elbetch, Tounsia Benzekri, Daniel Massart +1
This paper considers a multi-patch model, where each patch follows a logistic law, and patches are coupled by asymmetrical migration terms. First, in the case of perfect mixing, i.…
Targeted mixing in an array of alternating vortices
Romain Bachelard, Tounsia Benzekri, Cristel Chandre +2
Transport and mixing properties of passive particles advected by an array of vortices are investigated. Starting from the integrable case, it is shown that a special class of pertu…
Control of chaotic advection
Tounsia Benzekri, Cristel Chandre, Xavier Leoncini +4
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 constructio…
Non-permanent form solutions in the Hamiltonian formulation of surface water waves
Tounsia Benzekri, Ricardo Lima, Michel Vittot
Using the KAM method, we exhibit some solutions of a finite-dimensional approximation of the Zakharov Hamiltonian formulation of gravity water waves, which are spatially periodic,…
Chaotic advection and targeted mixing
Tounsia Benzekri, Cristel Chandre, Xavier Leoncini +2
The advection of passive tracers in an oscillating vortex chain is investigated. It is shown that by adding a suitable perturbation to the ideal flow, the induced chaotic advection…
A Hamiltonian system for interacting Benjamin-Feir resonances
Tounsia Benzekri, Cristel Chandre, Ricardo Lima +1
In this paper, we present a model describing the time evolution of two dimensional surface waves in gravity and infinite depth. The model of six interacting modes derives from the…