most citedInstability statistics and mixing rates

36 citations · 114 across the 7 of their papers we have counts for

collaborators

7 papers

nlin.CD20098 cited

Dissipation effects in the ratchetlike Fermi acceleration

Cesar Manchein, Marcus Werner Beims

Ac driven asymmetric pulses can be used to control the Fermi acceleration between three different motions, the {\it accelerated} mode; the {\it decelerated} m…

nlin.CD200936 cited

Instability statistics and mixing rates

Roberto Artuso, Cesar Manchein

We claim that looking at probability distributions of \emph{finite time} largest Lyapunov exponents, and more precisely studying their large deviation properties, yields an extreme…

nlin.CD200918 cited

Chaotic motion at the emergence of the time averaged energy decay

Cesar Manchein, Jane Rosa, Marcus W. Beims

A system plus environment conservative model is used to characterize the nonlinear dynamics when the time averaged energy for the system particle starts to decay. The system partic…

nlin.CD200918 cited

Origin of chaos in soft interactions and signatures of nonergodicity

Marcus W. Beims, Cesar Manchein, Jan M. Rost

The emergence of chaotic motion is discussed for hard-point like and soft collisions between two particles in a one-dimensional box. It is known that ergodicity may be obtained in…

nlin.CD200913 cited

Gauss map and Lyapunov exponents of interacting particles in a billiard

Cesar Manchein, Marcus W. Beims

We show that the Lyapunov exponent (LE) of periodic orbits with Lebesgue measure zero from the Gauss map can be used to determine the main qualitative behavior of the LE of a Hamil…

nlin.CD200920 cited

Soft wall effects on interacting particles in billiards

H. A. Oliveira, C. Manchein, M. W. Beims

The effect of physically realizable wall potentials (soft walls) on the dynamics of two interacting particles in a one-dimensional (1D) billiard is examined numerically. The 1D wal…