Corpus ID: 235828935

Synchronization in the presence of time delays and inertia: Stability criteria

  title={Synchronization in the presence of time delays and inertia: Stability criteria},
  author={Dimitrios A. Prousalis and 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 response, found ubiquitously from biology to engineering, states with time-dependent frequencies can arise. These generate side bands in the frequency spectrum or lead to chaotic dynamics. Stability analysis is difficult due to delay-induced multistability and has only been available via numerical approaches. We derive… Expand


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