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nlin.AO2021
Synchronization in the presence of time delays and inertia: Stability criteria
Dimitrios Prousalis, Lucas Wetzel
Linear stability of synchronized states in networks of delay-coupled oscillators depends on the type of interaction, the network and oscillator properties. For inert oscillator res…
nlin.AO2019
How clock heterogeneity affects synchronization and can enhance stability
Nirmal Punetha, Lucas Wetzel
The production process of integrated electronic circuitry inherently leads to large heterogeneities on the component level. For electronic clock networks this implies detuned intri…
nlin.AO2019
Onset of synchronization in networks of second-order Kuramoto oscillators with delayed coupling: Exact results and application to phase-locked loops
David Métivier, Lucas Wetzel, Shamik Gupta
We consider the inertial Kuramoto model of globally coupled oscillators characterized by both their phase and angular velocity, in which there is a time delay in the interactio…