Oscillations in Monotone Systems with a Negative Feedback

DOI10.1137/090746653zbMath1200.34048OpenAlexW2081116574MaRDI QIDQ5850856

Tomáš Gedeon

Publication date: 20 January 2010

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://scholarworks.montana.edu/xmlui/handle/1/9539

zbMATH Keywords

periodic orbitmonotone systemnegative feedbackinput-output characteristicXenopus embryos

Mathematics Subject Classification ID

Medical applications (general) (92C50) Singular perturbations of ordinary differential equations (34D15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Singular perturbations for ordinary differential equations (34E15) Monotone systems involving ordinary differential equations (34C12) Relaxation oscillations for ordinary differential equations (34C26) Monotone flows as dynamical systems (37C65)

Related Items (5)

Sustained oscillations in the MAP kinase cascade ⋮ On periodic oscillation and its period of a circadian rhythm model ⋮ A Stability Result for Periodic Solutions of Nonmonotonic Smooth Negative Feedback Systems ⋮ A small-gain result for orthant-monotone systems under mixed feedback ⋮ Periodic Oscillations for Nonmonotonic Smooth Negative Feedback Circuits

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