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Multidimensional period doubling structures
Author(s) -
Lee Jeong-Yup,
Flom Dvir,
Ben-Abraham Shelomo I.
Publication year - 2016
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273316004897
Subject(s) - period doubling bifurcation , period (music) , formalism (music) , homogeneous space , recursion (computer science) , dimension (graph theory) , extension (predicate logic) , point (geometry) , mathematics , theoretical physics , pure mathematics , combinatorics , physics , geometry , computer science , algorithm , quantum mechanics , nonlinear system , bifurcation , acoustics , art , musical , visual arts , programming language
This paper develops the formalism necessary to generalize the period doubling sequence to arbitrary dimension by straightforward extension of the substitution and recursion rules. It is shown that the period doubling structures of arbitrary dimension are pure point diffractive. The symmetries of the structures are pointed out.