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q-bio.NC2019★ 22 cited
Phase-locked states in oscillating neural networks and their role in neural communication
Alberto Pérez-Cervera, Tere M. Seara, Gemma Huguet
The theory of communication through coherence (CTC) proposes that brain oscillations reflect changes in the excitability of neurons, and therefore the successful communication betw…
math.DS2019★ 10 cited
The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability
A. Pérez-Cervera, P. Ashwin, G. Huguet +2
We study the dynamics arising when two identical oscillators are coupled near a Hopf bifurcation where we assume a parameter uncouples the system at . Using a normal form…