Coincidence of Homeostasis and Bifurcation in Feedforward Networks

DOI10.1142/S0218127419300374zbMath1435.34050OpenAlexW2986285301WikidataQ126530993 ScholiaQ126530993MaRDI QIDQ5206887

Martin Golubitsky, William Duncan

Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127419300374

zbMATH Keywords

bifurcationsingularity theoryhomeostasisbiochemical networks

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Deformations of complex singularities; vanishing cycles (32S30)

Related Items (1)

A homeostasis criterion for limit cycle systems based on infinitesimal shape response curves

Uses Software

• MATCONT

Cites Work

• Homeostasis, singularities, and networks
• Singularities and groups in bifurcation theory. Volume I
• Homeostasis despite instability
• Homeostasis in a feed forward loop gene regulatory motif
• Analysis of homeostatic mechanisms in biochemical networks
• New features of the software M<scp>at</scp>C<scp>ont</scp>for bifurcation analysis of dynamical systems

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