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math.DS2023★ 12 cited
Saddle avoidance of noise-induced transitions in multiscale systems
Reyk Börner, Ryan Deeley, Raphael Römer +3
In multistable dynamical systems driven by weak Gaussian noise, transitions between competing states are often assumed to pass via a saddle on the separating basin boundary. By con…
math.DS2019★ 8 cited
Delay master stability of inertial oscillator networks
Reyk Börner, Paul Schultz, Benjamin Ünzelmann +3
Time lags occur in a vast range of real-world dynamical systems due to finite reaction times or propagation speeds. Here we derive an analytical approach to determine the asymptoti…