Homeostasis, singularities, and networks

DOI10.1007/s00285-016-1024-2zbMath1369.92040OpenAlexW2465927519WikidataQ39714841 ScholiaQ39714841MaRDI QIDQ504088

Martin Golubitsky, I. N. Stewart

Publication date: 25 January 2017

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-016-1024-2

zbMATH Keywords

networkscatastrophe theorysingularity theoryhomeostasiscoupled cell systems

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Nonlinear ordinary differential equations and systems (34A34) Systems biology, networks (92C42)

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Cites Work

• Escape from homeostasis
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume I
• Singularities and groups in bifurcation theory. Volume II
• Coordinate changes for network dynamics
• Homeostasis with Multiple Inputs
• An Introduction to Catastrophe Theory and Its Applications
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows
• Nonlinear dynamics of networks: the groupoid formalism
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