Temporal decorrelation of collective oscillations in neural networks with local inhibition and long-range excitation

Details Temporal decorrelation of collective oscillations in neural networks with local inhibition and long-range excitation Temporal decorrelation of collective oscillations in neural networks with local inhibition and long-range excitation

2007-11-13

arxiv.org/abs/0711.2001v1

Biology

Quantitative Biology

Neurons and Cognition

4 pages, 5 figures. accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.99.238106

We consider two neuronal networks coupled by long-range excitatory interactions. Oscillations in the gamma frequency band are generated within each network by local inhibition. When long-range excitation is weak, these oscillations phase-lock with a phase-shift dependent on the strength of local inhibition. Increasing the strength of long-range excitation induces a transition to chaos via period-doubling or quasi-periodic scenarios. In the chaotic regime oscillatory activity undergoes fast temporal decorrelation. The generality of these dynamical properties is assessed in firing-rate models as well as in large networks of conductance-based neurons.

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