Monday, May 20, 2013

1305.4044 (Deigo Pazó et al.)

Low-dimensional dynamics of populations of pulse-coupled oscillators    [PDF]

Deigo Pazó, Ernest Montbrió
We show that populations of pulse-coupled oscillators evolve into the so-called Ott-Antonsen manifold. This allows us to exactly describe these high-dimensional systems in terms of a few macroscopic variables, and to exhaustively investigate their dynamics. We find that the width of the oscillators' pulses greatly alters synchronization thresholds in heterogeneous ensembles, specially for phase-resetting curves significantly off-centered. We uncover the existence of periodic, quasiperiodic and chaotic chimera states in simple networks of pulse-coupled oscillators.
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