Synchrony and Clustering in an Excitatory Neural Network Model with Intrinsic Relaxation Kinetics

DOI10.1137/S0036139993257375zbMath0814.34023MaRDI QIDQ4326884

Paul F. Pinsky

Publication date: 12 June 1995

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

synchronyasymptoticsepilepsyhippocampal neuronsexcitatory neural networkperiodic or quasi-periodic solutionssynchronized firing of a population of neurons

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (4)

Synchrony measures for biological neural networks ⋮ Waves and synchrony in networks of oscillators of relaxation and non-relaxation type ⋮ Phase-locking in weakly heterogeneous neuronal networks ⋮ Almost-synchronous solutions for mutually coupled excitatory neurons

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