6 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, OisÃn 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…
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…
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…