Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are
direct consequences of its fractional space-time structure and its phase space topology. The …

The interaction of an atom with an electro-magnetic field is discussed in the presence of a
time periodic external modulating force. It is explained that a control on atom by electro …

We present large scale simulations for a one-dimensional chain of hard-point particles with
alternating masses and correct several claims in recent literature based on much smaller …

We present an extensive numerical study of spectral statistics and eigenfunctions of
quantized triangular billiards. We compute two million consecutive eigenvalues for six …

We study the nonequilibrium state of heat conduction in a one-dimensional system of hard
point particles of unequal masses interacting through elastic collisions. A BBGKY-type …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

We present numerical evidence which strongly suggests that irrational triangular billiards (all
angles irrational with π) are mixing. Since these systems are known to have zero …

We characterize quantum dynamics in triangular billiards in terms of five properties:(1) the
level spacing ratio (LSR),(2) spectral complexity (SC),(3) Lanczos coefficient variance,(4) …

This is an updated and expanded version of our earlier survey article [E. Gutkin,“Billiard
dynamics: a survey with the emphasis on open problems,” Regular Chaotic Dyn. 8, 1–13 …