Title | ||
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Designing Hyperchaotic Cat Maps with Any Desired Number of Positive Lyapunov Exponents |
Abstract | ||
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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 Hua | 1 | 355 | 20.35 |
Shuang Yi | 2 | 76 | 6.16 |
Yicong Zhou | 3 | 1822 | 108.83 |
Chengqing Li | 4 | 928 | 64.94 |
Yue Wu | 5 | 331 | 31.69 |