Title
Designing Hyperchaotic Cat Maps with Any Desired Number of Positive Lyapunov Exponents
Abstract
Generating chaotic maps with expected dynamics of users is a challenging topic. Utilizing the inherent relation between the Lyapunov exponents (LEs) of the Cat map and its associated Cat matrix, this paper proposes a simple but efficient method to construct an n-dimensional (n-D) hyperchaotic Cat map (HCM) with any desired number of positive LEs. The method first generates two basic n-D Cat matric...
Year
DOI
Venue
2018
10.1109/TCYB.2016.2642166
IEEE Transactions on Cybernetics
Keywords
Field
DocType
Cats,Eigenvalues and eigenfunctions,Cybernetics,Complexity theory,Cryptography,Chaotic communication,Jacobian matrices
Discrete mathematics,Matrix similarity,Combinatorics,Ergodicity,Matrix (mathematics),Parameter space,Chaotic,Computation complexity,Lyapunov exponent,Mathematics,Randomness
Journal
Volume
Issue
ISSN
48
2
2168-2267
Citations 
PageRank 
References 
4
0.40
27
Authors
5
Name
Order
Citations
PageRank
Zhongyun Hua135520.35
Shuang Yi2766.16
Yicong Zhou31822108.83
Chengqing Li492864.94
Yue Wu533131.69