157 citations · 977 across the 32 of their papers we have counts for
6 papers · 1 filter
Bounding the first exit from the basin: Independence Times and Finite-Time Basin Stability
Paul Schultz, Frank Hellmann, Kevin N. Webster +1
We study the stability of deterministic systems given sequences of large, jump-like perturbations. Our main result is to dervie a lower bound for the probability of the system to r…
Recovery time after localized perturbations in complex dynamical networks
Chiranjit Mitra, Tim Kittel, Anshul Choudhary +2
Maintaining the synchronous motion of dynamical systems interacting on complex networks is often critical to their functionality. However, real-world networked dynamical systems op…
Synchronization in Delayed Multiplex Networks
Aradhana Singh, Saptarshi Ghosh, Sarika Jalan +1
We study impact of multiplexing on the global phase synchronizability of different layers in the delayed coupled multiplex networks. We find that at strong couplings, the multiplex…
Potentials and Limits to Basin Stability Estimation
Paul Schultz, Peter J. Menck, Jobst Heitzig +1
Stability assessment methods for dynamical systems have recently been complemented by basin stability and derived measures, i.e. probabilistic statements whether systems remain in…
Stability threshold approach for complex dynamical systems
Vladimir V. Klinshov, Vladimir I. Nekorkin, Jürgen Kurths
A new measure to characterize stability of complex dynamical systems against large perturbation is suggested, the stability threshold (ST). It quantifies the magnitude of the weake…
Recurrence Plots 25 years later -- gaining confidence in dynamical transitions
Norbert Marwan, Stefan Schinkel, Jürgen Kurths
Recurrence plot based time series analysis is widely used to study changes and transitions in the dynamics of a system or temporal deviations from its overall dynamical regime. How…