✦ LIBER ✦

Dynamical systems under constant organization I. Topological analysis of a family of non-linear differential equations—A model for catalytic hypercycles

✍ Scribed by P. Schuster; K. Sigmund; R. Wolff

Publisher: Springer
Year: 1978
Tongue: English
Weight: 948 KB
Volume: 40
Category: Article
ISSN: 1522-9602
DOI: 10.1016/s0092-8240(78)80007-x

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✦ Synopsis

The paper presents a qualitative analysis of the following systems of n differential equations:

:~i=xixj-xiZ~_lxrx~ (j=i-l+n6il and s=r-l+n6rl), which show cyclic symmetry.

These dynamical systems are of particular interest in the theory of selforganization and biological evolution as well as for application to other fields.