Regensburg 2002 – wissenschaftliches Programm
SYPH 2.8: Poster
Donnerstag, 14. März 2002, 15:30–18:00, Poster D
Long chaotic transients shield synchronous periodic states in complex networks of pulse-coupled oscillators — •Alexander Zumdieck, Marc Timme, Theo Geisel, and Fred Wolf — Max-Planck-Institut f. Strömungsforschung, D-37073 Göttingen
Recent studies of networks of pulse-coupled oscillators suggest that oscillators often form synchronized groups, called clusters [1-4]. However, transients towards such cluster state attractors, if sufficiently long, shield the occurence of synchronous dynamics on relevant time scales.
We study networks of pulse-coupled oscillators  with delayed, excitatory interactions . The connectivity is weakly diluted with a normalization of the total input to each oscillator that guarantees the existence of a synchronous state. We find that long chaotic transients are abundant in these systems. We analyze these transients and investigate how the chaotic behaviour can be characterized in terms of a single driven oscillator.
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