422 citations · 2.4k across the 156 of their papers we have counts for
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Time-Scale and Noise Optimality in Self-Organized Critical Adaptive Networks
Christian Kuehn
Recent studies have shown that adaptive networks driven by simple local rules can organize into "critical" global steady states, providing another framework for self-organized crit…
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…
On spatial and temporal multilevel dynamics and scaling effects in epileptic seizures
Christian Kuehn, Christian Meisel
Epileptic seizures are one of the most well-known dysfunctions of the nervous system. During a seizure, a highly synchronized behavior of neural activity is observed that can cause…
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…