Dynamics of Small Autocatalytic Reaction Network II: Replication, Mutation and Catalysis
chao-dyn
2008-02-03 v1 Chaotic Dynamics
Abstract
Mutation is introduced into autocatalytic reaction networks. Examples of low dimensional dynamical systems --- n = 2, 3 and 4 --- are discussed and complete qualitative analysis is presented. Error thresholds known from simple replication-mutation kinetics with frequency independent replication rates occur here as well. Instead of cooperative transitions or higher order phase transistions the thresholds appear here as supercritical or subcritical bifurcations being analogous to first order phase transitions.
Keywords
Cite
@article{arxiv.chao-dyn/9410001,
title = {Dynamics of Small Autocatalytic Reaction Network II: Replication, Mutation and Catalysis},
author = {Peter F. Stadler and Wolfgang Schnabl and Christian V. Forst and Peter Schuster},
journal= {arXiv preprint arXiv:chao-dyn/9410001},
year = {2008}
}
Comments
49 pages uuencoded compressed poscript file (all figures included) - 490Kbyte