Connection profile robustness in a heterogeneous network of piecewise affine FitzHugh-Nagumo models

Conference item

Abstract:: FitzHugh-Nagumo is one of the best known nonlinear neuronal models in mathematical physiology. In particular, spatio-temporal forms of this model have been used for modeling oscillatory behavior in living organisms such as the behavior of cardiac pacemaker cells. In this paper, we investigate the stability of their spatially discretized form, that is, diffusively coupled large-scale networks of piecewisely affine approximated FitzHugh-Nagumo models. Scalable criteria for ultimate boundedness are given taking connection profile (coupling strength, delay length, subsystem heterogeneity) robustness into account. This result is accomplished through a linear multi-agent system perspective for a class of piecewise affine systems. © 2011 SICE.

Keywords:: Time-delays

Large-scale systems

Mathematical physiology

Piecewise affine systems

FitzHugh-Nagumo model

Ultimate bounded-ness
Pubs id:: pubs:318872
UUID:: uuid:f852debb-513e-4d2c-a292-638f8e31ec21
Local pid:: pubs:318872
Source identifiers:: 318872
Deposit date:: 2012-12-20
ARK identifier:: ark:/29072/ora_f852debb513e4d2ca292638f8e31ec21

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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