Chaos modulo r: The Universal Metric Properties for a Class of Non-Linear Transformations and the Spectrum for a Route to Order

Details Chaos modulo r: The Universal Metric Properties for a Class of Non-Linear Transformations and the Spectrum for a Route to Order Chaos modulo r: The Universal Metric Properties for a Class of Non-Linear Transformations and the Spectrum for a Route to Order

2008-05-31

arxiv.org/abs/0806.0112v2

Mathematics

Dynamical Systems

17 pages, 3 figures

Scientific paper

While it is well known that, after a sufficiently long series of bifurcations, order may come as close to chaos as one wishes, it is less known that genuine chaos may come as close to order as we wish. The pace at which order approaches chaos (through bifurcations) brings to the fore the Feigenbaum constants. The pace at which chaos approaches order in a class of non-linear unbounded transformations brings to the fore an universal constant that seems to equal 4.

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