On uniqueness and stability of a cycle in one gene network

DOI10.33048/semi.2021.18.032zbMath1470.37112OpenAlexW3199538448MaRDI QIDQ2033347

Liliya Sergeevna Minushkina, Vladimir Golubyatnikov

Publication date: 17 June 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.032

zbMATH Keywords

fixed pointscyclesphase portraitsPoincaré mapinvariant domainscircular gene networkpiecewise linear dynamical systems

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (1)

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Cites Work

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• Cyclic feedback systems with quorum sensing coupling
• Maximum number of limit cycles for certain piecewise linear dynamical systems
• On two classes of nonlinear dynamical systems: the four-dimensional case
• The Poincaré-Bendixson theorem for monotone cyclic feedback systems
• Existence of periodic solutions for negative feedback cellular control systems
• Stable oscillations in mathematical models of biological control systems
• Noise-induced transitions in a nonsmooth producer-grazer model with stoichiometric constraints
• Two limit cycles for a class of discontinuous piecewise linear differential systems with two pieces
• Periodic solutions of travelling-wave type in circular gene networks
• Cyclic feedback systems
• Monotonicity of the Poincaré Mapping in Some Models of Circular Gene Networks
• Structure of the phase portrait of a piecewise-linear dynamical system
• Cycles in the Odd-Dimensional Models of Circular Gene Networks
• On Cycles and Other Geometric Phenomena in Phase Portraits of Some Nonlinear Dynamical Systems
• Structure of Phase Portraits of Nonlinear Dynamical Systems

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