25 citations · 25 across the 3 of their papers we have counts for
5 papers · 1 filter
Rate-induced tipping and saddle-node bifurcation for a class of quadratic differential equations with nonautonomous asymptotic dynamics
Iacopo P. Longo, Carmen Núñez, Rafael Obaya +1
An in-depth analysis of nonautonomous bifurcations of saddle-node type for scalar differential equations , where and $p\colon…
Conditioned Lyapunov exponents for random dynamical systems
Maximilian Engel, Jeroen S. W. Lamb, Martin Rasmussen
We introduce the notion of Lyapunov exponents for random dynamical systems, conditioned to trajectories that stay within a bounded domain for asymptotically long times. This is mot…
Early-warning signals for bifurcations in random dynamical systems with bounded noise
Christian Kuehn, Giuseppe Malavolta, Martin Rasmussen
We consider discrete-time one-dimensional random dynamical systems with bounded noise, which generate an associated set-valued dynamical system. We provide necessary and sufficient…
Classification of random circle homeomorphisms up to topological conjugacy
Thai Son Doan, Jeroen S. W. Lamb, Julian Newman +1
We provide a classification of random orientation-preserving homeomorphisms of , up to topological conjugacy of the random dynamical systems generated by i.i.d. itera…
Transit times and mean ages for nonautonomous and autonomous compartmental systems
Martin Rasmussen, Alan Hastings, Matthew J. Smith +8
We develop a theory for transit times and mean ages for nonautonomous compartmental systems. Using the McKendrick-von Förster equation, we show that the mean ages of mass in a comp…