56 citations · 188 across the 10 of their papers we have counts for
6 papers · 1 filter
Local control of Hamiltonian chaos
Cristel Chandre, Guido Ciraolo, Ricardo Lima +1
We review a method of control for Hamiltonian systems which is able to create smooth invariant tori. This method of control is based on an apt modification of the perturbation whic…
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…
Channelling chaos by building barriers
Cristel Chandre, Guido Ciraolo, Fabrice Doveil +3
Chaos often represents a severe obstacle for the set-up of many-body experiments, e.g., in fusion plasmas or turbulent flows. We propose a strategy to control chaotic diffusion in…
Localised control for non-resonant Hamiltonian systems
Michel Vittot, Cristel Chandre, Guido Ciraolo +1
We present a method of localised control of chaos in Hamiltonian systems. The aim is to modify the perturbation locally by a small control term which makes the controlled Hamiltoni…
Tailoring Phase Space : A Way to Control Hamiltonian Transport
Guido Ciraolo, Cristel Chandre, Ricardo Lima +3
We present a method to control transport in Hamiltonian systems. We provide an algorithm - based on a perturbation of the original Hamiltonian localized in phase space - to design…
Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas
Guido Ciraolo, Cristel Chandre, Ricardo Lima +4
We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more…