Grazing bifurcations, homoclinic orbits and chaos in a ring network of linear neuron-like elements with a single nonmonotonic piecewise constant output function

DOI10.1142/s0218127423501419zbMATH Open1546.70073MaRDI QIDQ6538862

Yo Horikawa

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

homoclinic orbitpiecewise linear systemgrazing bifurcationnonmonotonic neuron

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Bifurcations of singular points in dynamical systems (37G10)

Cites Work

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