Stable periodic solutions for the hypercycle system

DOI10.1007/BF01049740zbMath0729.34032MaRDI QIDQ805848

N. E. Zubov

Publication date: 1991

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

omega limit sethypercycle systemconcentrations of a set of polynucleotidesorbitally asymptotically stable periodic orbit

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Protein sequences, DNA sequences (92D20) Stability of manifolds of solutions to ordinary differential equations (34D35)

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Cites Work

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• Models for pair formation in bisexual populations
• Dynamical machinery of a biochemical clock
• The Poincaré-Bendixson theorem for monotone cyclic feedback systems
• The hypercycle, traveling waves, and Wright's equation
• Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles
• Periodic orbits of competitive and cooperative systems
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Systems of differential equations which are competitive or cooperative: III. Competing species
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets

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