Fold-Pitchfork Bifurcation, Arnold Tongues and Multiple Chaotic Attractors in a Minimal Network of Three Sigmoidal Neurons

DOI10.1142/S0218127418501237zbMath1401.34060OpenAlexW2894537908WikidataQ129246985 ScholiaQ129246985MaRDI QIDQ4691124

H. Matsushita, Yo Horikawa, Hiroyuki Kitajima

Publication date: 18 October 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418501237

zbMATH Keywords

Arnold tonguechaotic neural networkcrisisfold-pitchfork bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Multifrequency systems of ordinary differential equations (34C46)

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Uses Software

• AUTO-86
• Unnamed Item

Cites Work

• Unnamed Item
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