We study theoretically quantum states of a pair of photons interacting with a finite periodic
array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates …

We claim that looking at probability distributions of finite time largest Lyapunov exponents,
and more precisely studying their large deviation properties, yields an extremely powerful …

In this paper, we analyze the dynamic effect of a reservoir computer (RC) on its performance.
Modified Kuramoto's coupled oscillators are used to model the RC, and synchronization …

The phase space dynamics of higher dimensional nonintegrable conservative systems is
characterized via the effect of “sticky” motion on the finite time Lyapunov exponents (FTLEs) …

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 …

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 …

Rounding border effects at the escape point of open integrable billiards are analyzed via the
escape-time statistics and emission angles. The model is the rectangular billiard and the …

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 …

Chaos and regularity are routinely discriminated by using Lyapunov exponents distilled from
the norm of orthogonalized Lyapunov vectors, propagated during the temporal evolution of …

The dynamics in weakly chaotic Hamiltonian systems strongly depends on initial conditions
(ICs) and little can be affirmed about generic behaviors. Using two distinct Hamiltonian …