Autocatalytic networks with translation

DOI10.1007/BF02459488zbMath0882.92012OpenAlexW3123846232WikidataQ56992082 ScholiaQ56992082MaRDI QIDQ1817465

Robert Happel, Robert Hecht, Peter F. Stadler

Publication date: 16 January 1997

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459488

zbMATH Keywords

replicationautocatalytic reaction network

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Singular perturbations of ordinary differential equations (34D15)

Related Items (2)

Autocatalytic networks with intermediates. I: Irreversible reactions ⋮ Analysis of the structured perturbation for the BCSCB linear system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic analysis. Reprint
• Spatial stability analysis of Eigen's quasispecies model and the less than five membered hypercycle under global population regulation
• Stable periodic solutions for the hypercycle system
• Dynamics of small autocatalytic reaction networks. I: Bifurcations, permanence and exclusion
• Geometric singular perturbation theory for ordinary differential equations
• Strange attractors in Volterra equations for species in competition
• Small autocatalytic reaction networks. III: Monotone growth functions
• Complementary replication
• Mutation in autocatalytic reaction networks. An analysis based on perturbation theory
• Dynamical systems under constant organization. I: Topological analysis of a family of non-linear differential equations - a model for catalytic hypercycles
• Autocatalytic replication in a CSTR and constant organization
• The influence of mutation on autocatalytic reaction networks
• Dynamics of small autocatalytic reaction networks. II: Replication, mutation and catalysis
• Random catalytic reaction networks
• Full characterization of a strange attractor. Chaotic dynamics in low- dimensional replicator systems
• Topological horseshoe and numerically observed chaotic behaviour in the Henon mapping
• On the occurrence of limit cycles in the Volterra-Lotka equation

This page was built for publication: Autocatalytic networks with translation