86 citations · 692 across the 44 of their papers we have counts for
6 papers · 1 filter
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…
Stabilizing the intensity of a wave amplified by a beam of particles
Romain Bachelard, Andrea Antoniazzi, Cristel Chandre +3
The intensity of an electromagnetic wave interacting self-consistently with a beam of charged particles as in a free electron laser, displays large oscillations due to an aggregate…
Evidence of fractional transport in point-vortex flow
Xavier Leoncini, Leonid Kuznetsov, George M. Zaslavsky
Advection properties of passive particles in flows generated by point vortices are considered. Transport properties are anomalous with characteristic transport exponent …
Chaotic Jets
Xavier Leoncini, George M. Zaslavsky
The problem of characterizing the origin of the non-Gaussian properties of transport resulting from Hamiltonian dynamics is addressed. For this purpose the notion of chaotic jet is…
From chaos of lines to Lagrangian structures in flux conservative fields
Xavier Leoncini, Olivier Agullo, Magali Muraglia +1
A numerical method is proposed in order to track field lines of three-dimensional divergence free fields. Field lines are computed by a locally valid Hamiltonian mapping, which is…
Reducing or enhancing chaos using periodic orbits
Romain Bachelard, Cristel Chandre, Xavier Leoncini
A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that t…