Controlled perturbation-induced switching in pulse-coupled oscillator networks

@inproceedings{Neves2009ControlledPS,
  title={Controlled perturbation-induced switching in pulse-coupled oscillator networks},
  author={Fabio Schittler Neves and Marc Timme},
  year={2009}
}
Pulse-coupled systems such as spiking neural networks exhibit nontrivial invariant sets in the form of attracting yet unstable saddle periodic orbits where units are synchronized into groups. Heteroclinic connections between such orbits may in principle support switching processes in these networks and enable novel kinds of neural computations. For small networks of coupled oscillators, we here investigate under which conditions and how system symmetry enforces or forbids certain switching… CONTINUE READING

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