86 citations · 219 across the 18 of their papers we have counts for
5 papers · 2 filters
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 …
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…