Dynamics of the Subsets of Natural Numbers: A Nursery Rhyme of Chaos

Details Dynamics of the Subsets of Natural Numbers: A Nursery Rhyme of Chaos Dynamics of the Subsets of Natural Numbers: A Nursery Rhyme of Chaos

2001-08-30

arxiv.org/abs/nlin/0108055v1

Nonlinear Sciences

Chaotic Dynamics

revtex

Scientific paper

We introduce a metric on the set of all subsets of natural numbers which
converts it into a cantor set.On this set endowed with the metric, we introduce
a very simple map which exhibits chaotic behaviour.This simple map is almost
like a nursery rhyme of chaos.

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