7 papers · 1 filter
Self-organizing Chimera States in Adaptive Networks
Felix Augustsson, Rok Cestnik, Matthias Wolfrum +3
We propose a minimal adaptive network model with product-form coupling that reduces dimensionality while capturing key features of synaptic plasticity. The system spontaneously sel…
Multiple Timescale Dynamics of Network Adaptation with Constraints
Erik Andreas Martens, Christian Bick
Adaptive network dynamical systems describe the co-evolution of dynamical quantities on the nodes as well as dynamics of the network connections themselves. For dense networks of m…
Non-local transitions and ground state switching in the self-organization of vascular networks
Konstantin Klemm, Erik Andreas Martens
The model by Hu and Cai [Phys. Rev. Lett., Vol. 111(13) (2013)] describes the self-organization of vascular networks for transport of fluids from source to sinks. Diameters, and th…
Continuum limit of the adaptive Kuramoto model
Rok Cestnik, Erik A. Martens
We investigate the dynamics of the adaptive Kuramoto model with slow adaptation in the continuum limit, . This model is distinguished by dense multistability, where mul…
Inverse stochastic resonance in adaptive small-world neural networks
Marius E. Yamakou, Jinjie Zhu, Erik A. Martens
Inverse stochastic resonance (ISR) is a phenomenon where noise reduces rather than increases the firing rate of a neuron, sometimes leading to complete quiescence. ISR was first ex…
Co-evolutionary dynamics for two adaptively coupled Theta neurons
Felix Augustsson, Erik Andreas Martens
Natural and technological networks exhibit dynamics that can lead to complex cooperative behaviors, such as synchronization in coupled oscillators and rhythmic activity in neuronal…