Abstract Large-scale weather can often be successfully described using a small amount of patterns. A statistical description reanalysed pressure fields identifies these recurring patterns with clusters in state-space, also called “regimes”. Recently, regimes have been through instantaneous, local indicators dimension and persistence, borrowed from dynamical systems theory extreme value theory. ...

We investigate the geometry of a quantum universe with topology four-torus. The study noncontractible geodesic loops reveals that typical consists small semiclassical toroidal bulk part, dressed many outgrowths, which contain most four-volume and have almost spherical topologies, but nevertheless are quite fractal.

To analyse a subject’s mental processes, psychotherapists often face nontrivial properties of adaptive dynamical systems. Analysis of dynamical systems usually is performed using mathematical techniques. Such an analysis is not precisely the type of reasoning performed in psychotherapy practice. In this paper it is shown how practical reasoning about dynamic properties of adaptive dynamical sys...

We investigate ray dynamical properties and resonance patterns of a spiral-shaped dielectric microcavity in which quasiscarred resonances can be supported. The ray dynamical properties of this open system can be characterized by the steady probability distribution which contains informations of the dynamics and the openness of the chaotic microcavity. It is shown that the quasiscarring phenomen...

there are dierent ways to code the geodesic flows on surfaces with negative curvature. such code spaces give a useful tool to verify the dynamical properties of geodesic flows. here we consider special subspaces of geodesic flows on hecke surface whose arithmetic codings varies on a set with innite alphabet. then we will compare the topological complexity of them by computing their topologica...

We describe Turing machines, tilings and in#nite words as dynamical systems and analyze some of their dynamical properties. It is known that some of these systems do not always have periodic con#gurations; we prove that they always have quasi-periodic con#gurations and we quantify quasi-periodicity. We then study the decidability of dynamical properties for these systems. In analogy to Rice’s t...