36 citations · 106 across the 6 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…
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…
Ratchetlike pulse controlling the Fermi deceleration and hyperacceleration
Cesar Manchein, Marcus W. Beims
Using an ac driven asymmetric pulse we show how the Fermi acceleration (deceleration) can be controlled. A {\it deformed} sawtooth (Ratchetlike) pulse representing the moving wall…