Paper Title:
Periodic Estimation of the 3-Arnold Transformation Modulo N
  Abstract

We discuss the basic definitions and existing conclusion about periodicity of the twin Fibonacci sequence in this paper. The upper bound of the twin Fibonacci sequence and the least period of 3-dimensional Arnold transformation mod N are respectively 6.269N2 and 3.134N2, which is similar to two existing references. Moreover, many important properties are gained, which provide new thought for study on the period of higher-dimensional Arnold transformation and the necessary mathematical reference of image coding and processing.

  Info
Periodical
Edited by
Wenya Tian and Linli Xu
Pages
515-519
DOI
10.4028/www.scientific.net/AMR.186.515
Citation
Y. J. Li, J. H. Ge, Z. L. Sun, "Periodic Estimation of the 3-Arnold Transformation Modulo N", Advanced Materials Research, Vol. 186, pp. 515-519, 2011
Online since
January 2011
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