Eleonora Catsigeras, "Self-Synchronization of Networks with a Strong Kernel of Integrate and Fire Excitatory Neurons," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Eleonora Catsigeras. Self-Synchronization of Networks with a Strong Kernel of Integrate and Fire Excitatory Neurons.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Self-Synchronization of Networks with a Strong Kernel of Integrate and Fire Excitatory Neurons
Author:
Abstract: We study the global dynamics of networks of pulsed-coupled neurons that are modeled as integrate and fire oscillators. We focus on excitatory networks with a strong kernel. We prove the synchronization of the whole network from any initial state, and find a bound from above of the transients until the full synchronization is achieved. The methodology of research is by exact mathematical definitions and statements and by deductive proofs, from standard arguments of the mathematical theory of abstract dynamical systems. We include examples of applications to diverse fields, and also a brief review of other mathematical methods of research on general networks of dynamically interacting units.
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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