Can distributed delays perfectly stabilize dynamical networks?

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Signal transmission delays tend to destabilize dynamical networks leading to oscillation, but their dispersion contributes oppositely toward stabilization. We analyze an integro-differential equation that describes the collective dynamics of a neural network with distributed signal delays. With the gamma distributed delays less dispersed than exponential distribution, the system exhibits reentrant phenomena, in which the stability is once lost but then recovered as the mean delay is increased. With delays dispersed more highly than exponential, the system never destabilizes.
4pages 5figures

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Disordered Systems and Neural Networks, Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/159001

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.3475
 http://arxiv.org/abs/0710.3475
 PHYSICAL REVIEW E 77, 046214 (2008)
 doi:10.1103/PhysRevE.77.046214

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arXiv