Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Datseris, George"'
Two dynamical indicators, the local dimension and the extremal index, used to quantify persistence in phase space have been developed and applied to different data across various disciplines. These are computed using the asymptotic limit of exceedanc
Externí odkaz:
http://arxiv.org/abs/2411.14297
In the nonlinear timeseries analysis literature, countless quantities have been presented as new "entropy" or "complexity" measures, often with similar roles. The ever-increasing pool of such measures makes creating a sustainable and all-encompassing
Externí odkaz:
http://arxiv.org/abs/2406.05011
Dynamical systems, that are used to model power grids, the brain, and other physical systems, can exhibit coexisting stable states known as attractors. A powerful tool to understand such systems, as well as to better predict when they may ``tip'' fro
Externí odkaz:
http://arxiv.org/abs/2304.12786
We present a fully automated method that identifies attractors and their basins of attraction without approximations of the dynamics. The method works by defining a finite state machine on top of the system flow. The input to the method is a dynamica
Externí odkaz:
http://arxiv.org/abs/2110.04358
Publikováno v:
Chaos 33, 102101 (2023)
The fractal dimension is a central quantity in nonlinear dynamics and can be estimated via several different numerical techniques. In this review paper we present a self-contained and comprehensive introduction to the fractal dimension. We collect an
Externí odkaz:
http://arxiv.org/abs/2109.05937
Agent based modelling is a simulation method in which autonomous agents interact with their environment and one another, given a predefined set of rules. It is an integral method for modelling and simulating complex systems, such as socio-economic pr
Externí odkaz:
http://arxiv.org/abs/2101.10072
Autor:
Datseris, George, Fleischmann, Ragnar
Husimi functions allow one to obtain sensible and useful phase space probability distributions from quantumechanical wavefunctions or classical wave fields, linking them to (semi-)classical methods and intuition. They have been used in several fields
Externí odkaz:
http://arxiv.org/abs/1912.04622
Autor:
Datseris, George, Fleischmann, Ragnar
Electronic transport in nanodevices is commonly studied theoretically and numerically within the Landauer-B\"uttiker formalism: a device is characterized by its scattering properties to and from reservoirs connected by perfect semi-infinite leads, an
Externí odkaz:
http://arxiv.org/abs/1905.06637
We present a method for both cross estimation and iterated time series prediction of spatio temporal dynamics based on reconstructed local states, PCA dimension reduction, and local modelling using nearest neighbour methods. The effectiveness of this
Externí odkaz:
http://arxiv.org/abs/1904.06089