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Numerical Investigation of Stochastic Neural Field Equations

Chapter
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 41)

Abstract

We introduce a new numerical algorithm for solving the stochastic neural field equation (NFE) with delays. Using this algorithm, we have obtained some numerical results which illustrate the effect of noise in the dynamical behaviour of stationary solutions of the NFE, in the presence of spatially heterogeneous external inputs.

Notes

Acknowledgements

We acknowledge support from Fundação para a Ciência e a Tecnologia (the Portuguese Foundation for Science and Technology) through the grant SFRH/BSAB/135130/2017 and POCI-01-0145-FEDER-031393.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Departamento de MatemáticaInstituto Superior Técnico, Universidade de LisboaLisboaPortugal

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