Inducing chaos in a gene regulatory network by coupling an oscillating dynamics with a hysteresis-type one

DOI10.1007/s00285-013-0703-5zbMath1303.37039OpenAlexW2003075524WikidataQ51188593 ScholiaQ51188593MaRDI QIDQ403991

Camille Poignard

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1007/s00285-013-0703-5

zbMATH Keywords

horseshoechaosgene networktimescale separation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Genetics and epigenetics (92D10)

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Bogdanov-Takens and Hopf bifurcations analysis of a genetic regulatory network ⋮ Pulse generation in the quorum machinery of \textit{Pseudomonas aeruginosa} ⋮ Designing a stochastic genetic switch by coupling chaos and bistability ⋮ Stability and bifurcation of delayed bidirectional gene regulatory networks with negative feedback loops ⋮ Periodic Oscillations for Nonmonotonic Smooth Negative Feedback Circuits ⋮ State-dependent effective interactions in oscillator networks through coupling functions with dead zones

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