A critical case for the spiral stability for \(2\times 2\) discontinuous systems and an application to recursive neural networks

DOI10.1007/S00009-016-0778-5zbMath1366.34023OpenAlexW2504657120MaRDI QIDQ346973

Marco Berardi, Marcello D'Abbicco

Publication date: 30 November 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0778-5

zbMATH Keywords

stabilityneural networksgenetic regulatory networkspiecewise smooth systemsspiral motion

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Related Items (3)

A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils ⋮ Isochronous attainable manifolds for piecewise smooth dynamical systems ⋮ A note on attractivity for the intersection of two discontinuity manifolds

Cites Work

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• On the Equivalence between the Sigmoidal Approach and Utkin's Approach for Piecewise-Linear Models of Gene Regulatory Networks
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