33 citations · 189 across the 26 of their papers we have counts for
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Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
Dennis Chemnitz, Maximilian Engel
We prove the positivity of Lyapunov exponents for the normal form of a Hopf bifurcation, perturbed by additive white noise, under sufficiently strong shear strength. This completes…
Geometric analysis of fast-slow PDEs with fold singularities via Galerkin discretisation
Maximilian Engel, Felix Hummel, Christian Kuehn +3
We study a singularly perturbed fast-slow system of two partial differential equations (PDEs) of reaction-diffusion type on a bounded domain via Galerkin discretisation. We assume…
Synchronization and random attractors for reaction jump processes
Maximilian Engel, Guillermo Olicón-Méndez, Nathalie Unger +1
This work explores a synchronization-like phenomenon induced by common noise for continuous-time Markov jump processes given by chemical reaction networks. A corresponding random d…
The conditioned Lyapunov spectrum for random dynamical systems
Matheus M. Castro, Dennis Chemnitz, Hugo Chu +3
We establish the existence of a full spectrum of Lyapunov exponents for memoryless random dynamical systems with absorption. To this end, we crucially embed the process conditioned…
Guidelines for data-driven approaches to study transitions in multiscale systems: the case of Lyapunov vectors
Akim Viennet, Nikki Vercauteren, Maximilian Engel +1
We study in detail the role of covariant Lyapunov vectors and their respective angles for detecting transitions between metastable states in dynamical systems, as recently discusse…