422 citations · 2.4k across the 156 of their papers we have counts for
4 papers · 2 filters
Deterministic continutation of stochastic metastable equilibria via Lyapunov equations and ellipsoids
Christian Kuehn
Numerical continuation methods for deterministic dynamical systems have been one of the most successful tools in applied dynamical systems theory. Continuation techniques have been…
Nonlocal Generalized Models of Predator-Prey Systems
Christian Kuehn, Thilo Gross
The method of generalized modeling has been applied successfully in many different contexts, particularly in ecology and systems biology. It can be used to analyze the stability an…
A mathematical framework for critical transitions: bifurcations, fast-slow systems and stochastic dynamics
Christian Kuehn
Bifurcations can cause dynamical systems with slowly varying parameters to transition to far-away attractors. The terms ``critical transition'' or ``tipping point'' have been used…
A mathematical framework for critical transitions: normal forms, variance and applications
Christian Kuehn
Critical transitions occur in a wide variety of applications including mathematical biology, climate change, human physiology and economics. Therefore it is highly desirable to fin…