Stable periodicity and negative circuits in differential systems

DOI10.1007/s00285-010-0388-yzbMath1311.34096OpenAlexW2131430462WikidataQ51629087 ScholiaQ51629087MaRDI QIDQ659031

Adrien Richard, Jean-Paul Comet

Publication date: 9 February 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-010-0388-y

zbMATH Keywords

oscillationJacobian matrixregulatory networkinteraction graphfeedback circuit

Mathematics Subject Classification ID

Feedback control (93B52) Periodic solutions to ordinary differential equations (34C25) Systems biology, networks (92C42)

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Cites Work

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• Graphic requirements for multistability and attractive cycles in a Boolean dynamical framework
• Negative circuits and sustained oscillations in asynchronous automata networks
• A new necessary condition on interaction graphs for multistationarity
• Necessary conditions for multistationarity in discrete dynamical systems
• Necessary Conditions for Multistationarity and Stable Periodicity
• Positive and Negative Circuits in Dynamical Systems

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