## Shared Inputs, Entrainment, and Desynchrony in Elliptic Bursters: From Slow Passage to Discontinuous Circle Maps

- Guillaume Lajoie, Eric Shea-Brown
- SIAM J. Applied Dynamical Systems
- 2011

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@article{Best2007TransitionsBI, title={Transitions between irregular and rhythmic firing patterns in excitatory-inhibitory neuronal networks}, author={Janet Best and Choongseok Park and David Terman and Charles Wilson}, journal={Journal of Computational Neuroscience}, year={2007}, volume={23}, pages={217-235} }

- Published 2007 in Journal of Computational Neuroscience
DOI:10.1007/s10827-007-0029-7

Changes in firing patterns are an important hallmark of the functional status of neuronal networks. We apply dynamical systems methods to understand transitions between irregular and rhythmic firing in an excitatory-inhibitory neuronal network model. Using the geometric theory of singular perturbations, we systematically reduce the full model to a simpler set of equations, one that can be studied analytically. The analytic tools are used to understand how an excitatory-inhibitory network with a… CONTINUE READING

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