Representation of period doubling by digraphs and characteristic polynomials

Details Representation of period doubling by digraphs and characteristic polynomials Representation of period doubling by digraphs and characteristic polynomials

2009-09-02

arxiv.org/abs/0909.0335v1

Mathematics

Dynamical Systems

16 pages, 3 figures

Scientific paper

A general procedure which defines a partial ordering of cyclic permutations
induced by continuous maps is known for constructing immediate successors to a
cycle. We expound on this procedure in terms of labelled digraphs and
characteristic polynomials then apply this study to period doubling, the most
common route to chaos for a nonlinear dynamical system.

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