83 citations · 284 across the 17 of their papers we have counts for
18 papers
Global continuation as a complement to traditional continuation and bifurcation analysis
George Datseris, Andreas Morr, Muhammed Fadera +1
Multistable dynamical systems are ever-prevalent, used to model for example ecosystems, power grids, climate elements, neurons, and more. When perturbed, such systems may ``tip'' f…
Alternate states and intermingledness in complex high-dimensional systems
George Datseris, Johannes Lohmann, Oisín Hamilton +1
Many natural systems posses, and can transition between, multiple alternative states. For example, a climate ``tipping element'' is a climate component that can transition to an al…
Computing Resilience Measures in Dynamical Systems
Andreas Morr, Christian Kuehn, George Datseris
Resilience broadly describes a quality of withstanding perturbations. Measures of system resilience have gathered increasing attention across applied disciplines, yet existing metr…
Chaos and noise in evolutionary game dynamics
Maria Alejandra Ramirez, George Datseris, Arne Traulsen
Evolutionary game theory has traditionally employed deterministic models to describe population dynamics. These models, due to their inherent nonlinearities, can exhibit determinis…
Limitations of the Generalized Pareto Distribution-based estimators for the local dimension
Ignacio del Amo, George Datseris, Mark Holland
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 d…
ComplexityMeasures.jl: scalable software to unify and accelerate entropy and complexity timeseries analysis
George Datseris, Kristian Agasøster Haaga
In the nonlinear timeseries analysis literature, countless quantities have been presented as new ``entropy'' or ``complexity'' measures, often with similar roles. The ever-increasi…
Framework for global stability analysis of dynamical systems
George Datseris, Kalel Luiz Rossi, Alexandre Wagemakers
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 understan…
Effortless estimation of basins of attraction
George Datseris, Alexandre Wagemakers
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 ma…
Estimating fractal dimensions: a comparative review and open source implementations
George Datseris, Inga Kottlarz, Anton P. Braun +1
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…
Agents.jl: A performant and feature-full agent based modelling software of minimal code complexity
George Datseris, Ali R. Vahdati, Timothy C. DuBois
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 f…
A unified and automated approach to attractor reconstruction
K. H. Krämer, G. Datseris, J. Kurths +3
We present a fully automated method for the optimal state space reconstruction from univariate and multivariate time series. The proposed methodology generalizes the time delay emb…
Husimi function for electrons moving in magnetic fields
George Datseris, Ragnar Fleischmann
Husimi functions allow one to obtain sensible and useful phase space probability distributions from quantumechanical wavefunctions or classical wave fields, linking them to (semi-)…
Phase space analysis of quantum transport in electronic nanodevices
George Datseris, Ragnar Fleischmann
Electronic transport in nanodevices is commonly studied theoretically and numerically within the Landauer-Büttiker formalism: a device is characterized by its scattering properties…
Predicting Spatio-Temporal Time Series Using Dimension Reduced Local States
Jonas Isensee, George Datseris, Ulrich Parlitz
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 loca…
Does it Swing? Microtiming Deviations and Swing Feeling in Jazz
George Datseris, Annika Ziereis, Thorsten Albrecht +3
Jazz music that swings has the fascinating power to elicit a pleasant sensation of flow in listeners and the desire to synchronize body movements with the music. Whether microtimin…
Estimating Lyapunov exponents in billiards
George Datseris, Lukas Hupe, Ragnar Fleischmann
Dynamical billiards are paradigmatic examples of chaotic Hamiltonian dynamical systems with widespread applications in physics. We study how well their Lyapunov exponent, character…
Robustness of ballistic transport in antidot superlattices
George Datseris, Theo Geisel, Ragnar Fleischmann
The magneto-resistance of antidot lattices shows pronounced peaks, which became a hallmark of ballistic electron transport. While most studies agree that they reflect the interplay…
Effective intermittency and cross-correlations in the Standard Map
Georgios Datseris, Fotis K. Diakonos, Peter Schmelcher
We define auto- and cross-correlation functions capable to capture dynamical characteristics induced by local phase space structures in a general dynamical system. These correlatio…