337 citations · 385 across the 4 of their papers we have counts for
8 papers · 1 filter
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…
A Two-Frequency-Two-Coupling model of coupled oscillators
Hyunsuk Hong, Erik A. Martens
We considered the phase coherence dynamics in a Two-Frequency and Two-Coupling (TFTC) model of coupled oscillators, where coupling strength and natural oscillator frequencies for i…
Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons
Benjamin Jüttner, Christian Henriksen, Erik A. Martens
We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population cou…
Directed Flow of Information in Chimera States
Nicolás Deschle, Andreas Daffertshofer, Demian Battaglia +1
We investigated interactions within chimera states in a phase oscillator network with two coupled subpopulations. To quantify interactions within and between these subpopulations,…
Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
Christian Bick, Marc Goodfellow, Carlo R. Laing +1
Many biological and neural systems can be seen as networks of interacting periodic processes. Importantly, their functionality depends on the emerging collective dynamics of the ne…
First-order synchronization transition in a large population of strongly coupled relaxation oscillators
Dumitru Călugăru, Jan Frederik Totz, Erik A. Martens +1
Onset and loss of synchronization in coupled oscillators are of fundamental importance in understanding emergent behavior in natural and man-made systems, which range from neural n…