Periodic trajectories of nonlinear circular gene network models

DOI10.46698/P2633-9872-2872-PMaRDI QIDQ6497117

Liliya Sergeevna Minushkina

Publication date: 6 May 2024

Published in: Vladikavkazskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

cyclesmathematical modelscircular gene networkpositive and negative feedbacknonlinear degradationinvariant domains and surfaces

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Periodic orbits of vector fields and flows (37C27) General biology and biomathematics (92B05) Biological rhythms and synchronization (92B25)

Cites Work

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• Existence of periodic solutions for negative feedback cellular control systems
• Stable oscillations in mathematical models of biological control systems
• On uniqueness and stability of a cycle in one gene network
• On uniqueness of a cycle in one circular gene network model
• Periodic solutions of travelling-wave type in circular gene networks
• On invariant surfaces in gene network models
• Phase portraits of a block-linear dynamical system in a model for a circular gene network
• On geometric structure of phase portraits of some piecewise linear dynamical systems

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