Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2003-11-13
Phys. Rev. Lett. 92, 238701 (2004)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 3 figures
Scientific paper
10.1103/PhysRevLett.92.238701
Spatio-temporal network dynamics is an emergent property of many complex systems which remains poorly understood. We suggest a new approach to its study based on the analysis of dynamical motifs -- small subnetworks with periodic and chaotic dynamics. We simulate randomly connected neural networks and, with increasing density of connections, observe the transition from quiescence to periodic and chaotic dynamics. We explain this transition by the appearance of dynamical motifs in the structure of these networks. We also observe domination of periodic dynamics in simulations of spatially distributed networks with local connectivity and explain it by absence of chaotic and presence of periodic motifs in their structure.
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