Dynamics of delay-coupled excitable neural systems

M. A. Dahlem; G. Hiller; A. Panchuk; E. Schoell

doi:10.1142/s0218127409023111

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arXiv · 0803.2352

Dynamics of delay-coupled excitable neural systems

M. A. Dahlem·G. Hiller·A. Panchuk·E. Schoell

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Abstract

We study the nonlinear dynamics of two delay-coupled neural systems each modelled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for sufficiently large delay times and coupling strength. As the mechanism for these delay-induced oscillations we identify a saddle-node bifurcation of limit cycles.

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M. A. Dahlem, G. Hiller, A. Panchuk, E. Schoell. 2008-03-16. Dynamics of delay-coupled excitable neural systems. https://doi.org/10.1142/s0218127409023111

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