650 citations · 2.4k across the 32 of their papers we have counts for
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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…
Cyclic structure induced by load fluctuations in adaptive transportation networks
Erik Andreas Martens, Konstantin Klemm
Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acycli…
Chaos in Kuramoto oscillator networks
Christian Bick, Mark J. Panaggio, Erik A. Martens
Kuramoto oscillators are widely used to explain collective phenomena in networks of coupled oscillatory units. We show that simple networks of two populations with a generic coupli…