Regensburg 2002 – wissenschaftliches Programm

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SYPH: Physik im Hirn - Physical Approaches to Brain Function

SYPH 2: Physik im Hirn - Physical Approaches to Brain Function

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 [3] with delayed, excitatory interactions [4]. 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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R.E. Mirollo, S.H. Strogatz, SIAM J. Appl. Math. 50, 1645, (1990)
U. Ernst, K. Pawelzik, T. Geisel, Phys. Rev. Lett. 74, 1570, (1995)

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