86 citations · 100 across the 3 of their papers we have counts for
3 papers
Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems
Romain Bachelard, Cristel Chandre, Duccio Fanelli +2
We investigate the dynamics of many-body long-range interacting systems, taking the Hamiltonian Mean Field model as a case study. We show that an abundance of regular trajectories,…
Stabilizing the intensity for a Hamiltonian model of the FEL
R. Bachelard, C. Chandre, D. Fanelli +2
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 aggregat…
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…