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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Showing 2004Show all

5 papers · 1 filter

cond-mat.stat-mech2004★ 45 cited

Weak and strong chaos in FPU models and beyond

Marco Pettini, Lapo Casetti, Monica Cerruti-Sola +2

We briefly review some of the most relevant results that our group obtained in the past, while investigating the dynamics of the Fermi-Pasta-Ulam (FPU) models. A first result is th…

cond-mat.stat-mech2004★ 39 cited

Topology and phase transitions: from an exactly solvable model to a relation between topology and thermodynamics

Luca Angelani, Lapo Casetti, Marco Pettini +2

The elsewhere surmised topological origin of phase transitions is given here new important evidence through the analytic study of an exactly solvable model for which both topology…

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…