A systematic study of chaotic ray dynamics in underwater acoustic waveguides began in the
mid-1990s when it was realized that this factor plays a crucial role in long-range sound …

The physics of activated escape of objects out of a metastable state plays a key role in
diverse scientific areas involving chemical kinetics, diffusion and dislocation motion in …

We have developed a general method for the description of separatrix chaos, based on the
analysis of the separatrix map dynamics. Matching it with the resonant Hamiltonian analysis …

We study the dependence of the chaotic layer width in spatially periodic non-autonomous
Hamiltonian systems on the waveform of adiabatic ac time-periodic forces. Contrary to …

The nonintegrable Hamiltonian dynamics of particles placed in a symmetric, spatially
periodic potential and subjected to a periodically varying field is explored. Such systems can …

The characteristics of atomic displacements during surface diffusion of Cu on Cu (111) are
studied by means of molecular dynamics simulations. It is found that even at very low …

We aim at a long-standing contradiction between chaos-assisted tunneling and chaos-
related localization study quantum transport of a single particle held in an amplitude …

The main goal of the paper is to find the absolute maximum of the width of the separatrix
chaotic layer as function of the frequency of the time-periodic perturbation of a one …

We study the deterministic dynamics of a periodically driven particle in the underdamped
case in a spatially symmetric periodic potential. The system is subjected to a space …

We review an approach to separatrix chaos that has allowed us to solve some significant
problems by:(i) finding analytically the maximum width of the chaotic layer, a problem that …