On a family of models of cell division cycle

DOI10.1016/j.chaos.2005.04.088zbMath1079.92028OpenAlexW2117627567MaRDI QIDQ813701

Alberto d'Onofrio

Publication date: 13 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.088

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Cell biology (92C37)

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Existence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms ⋮ A simple model of genetic oscillations through regulated degradation

Cites Work

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• Dynamical behavior in the modeling of cell division cycle
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation
• On the uniqueness and nonexistence of limit cycles for predator prey systems