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nlin.AO2023
Bifurcations in adaptive vascular networks: towards model calibration
Konstantin Klemm, Erik Andreas Martens
Transport networks are crucial for the functioning of natural and technological systems. We study a mathematical model of vascular network adaptation, where the network structure d…
nlin.AO2023★ 16 cited
Integrability of a globally coupled complex Riccati array: quadratic integrate-and-fire neurons, phase oscillators and all in between
Rok Cestnik, Erik A. Martens
We present an exact dimensionality reduction for dynamics of an arbitrary array of globally coupled complex-valued Riccati equations. It generalizes the Watanabe-Strogatz theory [P…