71 citations · 623 across the 48 of their papers we have counts for
7 papers · 1 filter
Shearless curve breakup in the biquadratic nontwist map
Gabriel C. Grime, Marisa Roberto, Ricardo L. Viana +2
Nontwist area-preserving maps violate the twist condition along shearless invariant curves, which act as transport barriers in phase space. Recently, some plasma models have presen…
Low-dimensional chaos in the single wave model for self-consistent wave-particle Hamiltonian
J. V. Gomes, M. C. de Sousa, R. L. Viana +2
We analyze nonlinear aspects of the self-consistent wave-particle interaction using Hamiltonian dynamics in the single wave model, where the wave is modified due to the particle dy…
Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems
L Filho, M Amato, Y Elskens +1
We use the weight I, deduced from the estimation of Lyapunov vectors, in order to characterise regions in the kinetic (x, v) space with particles that most contribute to chaotic…
Hamiltonian description of self-consistent wave-particle dynamics in a periodic structure
Frédéric André, Pierre Bernardi, Nikita M. Ryskin +2
Conservation of energy and momentum in the classical theory of radiating electrons has been a challenging problem since its inception. We propose a formulation of classical electro…
Nonquasilinear evolution of particle velocity in incoherent waves with random amplitudes
Yves Elskens
The one-dimensional motion of particles in the field of many incoherent waves is revisited numerically. When the wave complex amplitudes are independent, with a gaussian distri…
Direct observation of a "devil's staircase'' in wave-particle interaction
Fabrice Doveil, Alessandro Macor, Yves Elskens
We report the experimental observation of a "devil's staircase'' in a time dependent system considered as a paradigm for the transition to large scale chaos in the universality cla…