714 citations · 1.1k across the 12 of their papers we have counts for
12 papers
Loxodromes in Open Multi-Section Lasers
Christopher P. J. O'Connor, Sebastian Wieczorek, Andreas Amann
We introduce a formalism to efficiently calculate lasing modes and optical power flow in multi-section lasers with open boundaries. The formalism is underpinned by a projection of…
Phase tipping: How cyclic ecosystems respond to contemporary climate
Hassan Alkhayuon, Rebecca C. Tyson, Sebastian Wieczorek
We identify the phase of a cycle as a new critical factor for tipping points (critical transitions) in cyclic systems subject to time-varying external conditions. As an example, we…
Compactification for Asymptotically Autonomous Dynamical Systems: Theory, Applications and Invariant Manifolds
Sebastian Wieczorek, Chun Xie, Chris K. R. T. Jones
We develop a general compactification framework to facilitate analysis of nonlinear nonautonomous ODEs where nonautonomous terms decay asymptotically. The strategy is to compactify…
When very slow is too fast -- collapse of a predator-prey system
Anna Vanselow, Sebastian Wieczorek, Ulrike Feudel
Critical transitions or regime shifts are sudden and unexpected changes in the state of an ecosystem, that are usually associated with dangerous levels of environmental change. How…
Tipping Phenomena and Points of No Return in Ecosystems: Beyond Classical Bifurcations
Paul E. O'Keeffe, Sebastian Wieczorek
We discuss tipping phenomena (critical transitions) in nonautonomous systems using an example of a bistable ecosystem model with environmental changes represented by time-varying p…
Three types of nonlinear resonances
Arianna Marchionne, Peter Ditlevsen, Sebastian Wieczorek
We analyse different types of nonlinear resonances in a weakly damped Duffing oscillator using bifurcation theory techniques. In addition to (i) odd subharmonic resonances found on…