Beyond Chaos

Details Beyond Chaos Beyond Chaos

2008-04-18

arxiv.org/abs/0804.3057v1

Mathematics

General Mathematics

19 pages, 11 figures

Scientific paper

The first part of this paper defines recursive interactions by means of logistic functions and derives a general result on the way interacting systems evolve in attractors. It also defines the notion of coevolution trajectory and presents a new family of attractors: orbital attractors (including single, irregular, folded, complex and discontinuous orbits). The second part summarizes the results of a first experimental analysis of recursive interactions in both binary and multiple interactions. Among other results, this analysis reveals that interacting systems may easily evolve from chaos to order.

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