On non-uniqueness of cycles in 3D models of circular gene networks

DOI10.47475/2500-0101-2024-9-1-23-34MaRDI QIDQ6497125

Vladimir Golubyatnikov

Publication date: 6 May 2024

Published in: Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

equilibrium pointsperiodic trajectoriesinvariant domainsstep functionsgene network modelsphase portraits of non-linear dynamical systems

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Cyclic feedback systems with quorum sensing coupling
• Hidden attractors in dynamical systems
• On two classes of nonlinear dynamical systems: the four-dimensional case
• 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
• Existence and stability of the relaxation cycle in a mathematical repressilator model
• Periodic solutions of travelling-wave type in circular gene networks
• On the existence of a cycle in an asymmetric model of a molecular repressilator
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