Analysis of Earth system dynamics in the Anthropocene requires explicitly taking into
account the increasing magnitude of processes operating in human societies, their cultures …

Sample-based methods are a useful tool in analyzing the global behavior of multi-stable
systems originating from various branches of science. Classical methods, such as …

Tipping elements in the climate system are large-scale subregions of the Earth that might
possess threshold behavior under global warming with large potential impacts on human …

Stability of dynamical systems is a central topic with applications in widespread areas such
as economy, biology, physics and mechanical engineering. The dynamics of nonlinear …

The planetary boundaries framework provides guidelines for defining thresholds in
environmental variables. Their transgression is likely to result in a shift in Earth system …

The term'resilience'is increasingly being used in Earth system science and other disciplines
which study what could be called'social-technical-environmental systems'—systems …

Power grids sustain modern society by supplying electricity and thus their stability is a
crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by …

In this paper we present how sample based analysis can complement classical methods for
analysis of dynamical systems. We describe how sample based algorithms can be utilized to …

In dynamical systems, one may ask how long it takes for a trajectory to reach the attractor, ie
how long it spends in the transient phase. Although for a single trajectory the mathematically …

In this paper, we propose an application of the basin stability tool which allows us to update
the information on the system properties under parameter uncertainties. The concept is …