activity
19962026
most citedGeometric approach to Hamiltonian dynamics and statistical mechanics

254 citations · 1.8k across the 56 of their papers we have counts for

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8 papers · 1 filter

nlin.CD2020★ 9 cited

Hamiltonian chaos and differential geometry of configuration space-time

Loris Di Cairano, Matteo Gori, Giulio Pettini +1

This paper tackles Hamiltonian chaos by means of elementary tools of Riemannian geometry. More precisely, a Hamiltonian flow is identified with a geodesic flow on configuration spa…

nlin.CD2006★ 2 cited

Control of the chaotic velocity dispersion of a cold electron beam interacting with electrostatic waves

Guido Ciraolo, Cristel Chandre, Ricardo Lima +2

In this article we present an application of a method of control of Hamiltonian systems to the chaotic velocity diffusion of a cold electron beam interacting with electrostatic wav…

nlin.CD2004★ 9 cited

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…

nlin.CD2004★ 8 cited

Controlling chaos in area-preserving maps

Cristel Chandre, Michel Vittot, Yves Elskens +2

We describe a method of control of chaos that occurs in area-preserving maps. This method is based on small modifications of the original map by addition of a small control term. W…

nlin.CD2004★ 28 cited

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…

nlin.CD2003★ 49 cited

Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas

G. Ciraolo, F. Briolle, C. Chandre +6

It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to co…

nlin.CD2003★ 11 cited

Control of chaos in Hamiltonian systems

G. Ciraolo, C. Chandre, R. Lima +2

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…

nlin.CD2003

Control of chaotic transport in Hamiltonian systems

Guido Ciraolo, Cristel Chandre, Ricardo Lima +4

It is shown that a relevant control of Hamiltonian chaos is possible through suitable small perturbations whose form can be explicitly computed. In particular, it is possible to co…