There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

Real-world systems possess deterministic trajectories, phase singularities and noise.
Dynamic trajectories have been studied in temporal and frequency domains, but these are …

The recurrence times between extreme events have been the central point of statistical
analyses in many different areas of science. Simultaneously, the Poincaré recurrence time …

We review recent studies on the resonance spectrum of quantum scattering systems, in the
semiclassical limit and assuming chaotic classical dynamics. Stationary quantum properties …

We investigate the dynamics of chaotic trajectories in simple yet physically important
Hamiltonian systems with nonhierarchical borders between regular and chaotic regions with …

The purpose of this paper is to discuss the statistical distributions of recurrence times of
earthquakes. Recurrence times are the time intervals between successive earthquakes at a …

Fractal structures appear in many situations related to the dynamics of conservative as well
as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area …

In order to simulate observational and experimental situations, we consider a leak in the
phase space of a chaotic dynamical system. We obtain an expression for the escape rate of …

We investigate the dynamical properties of chaotic trajectories in mushroom billiards. These
billiards present a well-defined simple border between a single regular region and a single …

We perform a detailed study of the chaotic component in mixed-type Hamiltonian systems on
the example of a family of billiards [introduced by Robnik in J. Phys. A: Math. Gen. 16, 3971 …