Title :
A New Like Fibonacci Sequence and Its Properties
Author :
Li, Yong-Jiang ; Li, Chang-Li ; Ge, Jian-Hua ; Sun, Zhi-Lin
Author_Institution :
State Key Lab. of Integrated Service Networks, Xidian Univ., Xi´´an, China
Abstract :
The Twin Fibonacci sequences are first defined and their linear expressions are given in this paper.The sequence{Un} which is constituted by the matrix eigenvalues is defined and a discussion is given to its properties,including some exact division properties of the sequence{Un} taken modulo m,and the theorem on the least period for module sequence{un(pr)} is shown. Moreover,the relationship theorem between the module sequence of the sequence{Un} about m and that for the Twin Fibonacci sequence is given in the paper,providing necessary mathematical support for further studying the properties of the Twin Fibonacci sequence.
Keywords :
Fibonacci sequences; cryptography; data encapsulation; eigenvalues and eigenfunctions; image watermarking; matrix algebra; image encryption; image information hiding; image scrambling; matrix eigenvalue; module sequence; modulo m; transformation; twin Fibonacci sequence; {Un} sequence; Artificial neural networks; Eigenvalues and eigenfunctions; Intserv networks; Mathematical model; Polynomials; Presses;
Conference_Titel :
Database Technology and Applications (DBTA), 2010 2nd International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6975-8
Electronic_ISBN :
978-1-4244-6977-2
DOI :
10.1109/DBTA.2010.5658925
