# Transition to chaos in random networks with cell-type-specific connectivity.

@article{Aljadeff2015TransitionTC, title={Transition to chaos in random networks with cell-type-specific connectivity.}, author={Johnatan Aljadeff and Merav Stern and Tatyana O. Sharpee}, journal={Physical review letters}, year={2015}, volume={114 8}, pages={ 088101 } }

In neural circuits, statistical connectivity rules strongly depend on cell-type identity. We study dynamics of neural networks with cell-type-specific connectivity by extending the dynamic mean-field method and find that these networks exhibit a phase transition between silent and chaotic activity. By analyzing the locus of this transition, we derive a new result in random matrix theory: the spectral radius of a random connectivity matrix with block-structured variances. We apply our results to…

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