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Phys Rev Lett. 2009 Mar 20;102(11):118110. Epub 2009 Mar 20.

Phase transitions towards criticality in a neural system with adaptive interactions.

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Bernstein Center for Computational Neuroscience, Bunsenstrasse 10, 37073 Göottingen, Germany.

Erratum in

  • Phys Rev Lett. 2009 Aug 7;103(6):069901.


We analytically describe a transition scenario to self-organized criticality (SOC) that is new for physics as well as neuroscience; it combines the criticality of first and second-order phase transitions with a SOC phase. We consider a network of pulse-coupled neurons interacting via dynamical synapses, which exhibit depression and facilitation as found in experiments. We analytically show the coexistence of a SOC phase and a subcritical phase connected by a cusp bifurcation. Switching between the two phases can be triggered by varying the intensity of noisy inputs.

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