The dynamical entropy of the quantum Arnold cat map

1995 ◽  
Vol 35 (4) ◽  
pp. 375-383 ◽  
Author(s):  
J. Andries ◽  
M. Fannes ◽  
P. Tuyls ◽  
R. Alicki
Keyword(s):  
Arnold Cat Map ◽  
Dynamical Entropy

scholarly journals On the Relation between Topological Entropy and Restoration Entropy

Entropy ◽  
2018 ◽  
Vol 21 (1) ◽  
pp. 7 ◽  
Author(s):  
Christoph Kawan
Keyword(s):  
Dynamical Systems ◽  
State Estimation ◽  
Topological Entropy ◽  
Robust Estimation ◽  
Data Transmission ◽  
Communication Constraints ◽  
Dynamical Entropy

In the context of state estimation under communication constraints, several notions of dynamical entropy play a fundamental role, among them: topological entropy and restoration entropy. In this paper, we present a theorem that demonstrates that for most dynamical systems, restoration entropy strictly exceeds topological entropy. This implies that robust estimation policies in general require a higher rate of data transmission than non-robust ones. The proof of our theorem is quite short, but uses sophisticated tools from the theory of smooth dynamical systems.

Period Distribution of Generalized Discrete Arnold Cat Map for $N=p^{e}$

2012 ◽  
Vol 58 (1) ◽  
pp. 445-452 ◽  
Author(s):  
Fei Chen ◽  
Kwok-Wo Wong ◽  
Xiaofeng Liao ◽  
Tao Xiang
Keyword(s):  
Arnold Cat Map ◽  
Period Distribution

scholarly journals Dynamical entropy of a non-commutative version of the phase doubling

1998 ◽  
Vol 43 (1) ◽  
pp. 31-40
Author(s):  
Johan Andries ◽  
Mieke De Cock
Keyword(s):  
Dynamical Entropy

Classical Dynamical Entropy

2001 ◽  
pp. 213-224
Author(s):  
Robert Alicki ◽  
Mark Fannes
Keyword(s):  
Dynamical Entropy

Image Encryption Based on Development of Hénon Chaotic Maps using Fractional Fourier Transform

2014 ◽  
Vol 5 (3) ◽  
pp. 62-77 ◽  
Author(s):  
Mona F. M. Mursi ◽  
Hossam Eldin H. Ahmed ◽  
Fathi E. Abd El-Samie ◽  
Ayman H. Abd El-Aziem
Keyword(s):  
Fourier Transform ◽  
Image Encryption ◽  
Chaotic Maps ◽  
Fractional Fourier Transform ◽  
Chaotic Map ◽  
Security Analysis ◽  
Experimental Tests ◽  
It Use ◽  
Arnold Cat Map ◽  
And Diffusion

In this paper, the authors propose an image encryption scheme based on the development of a Hénon chaotic map using fractional Fourier transform (FRFT) which is introduced to satisfy the necessity of high secure image. This proposed algorithm combines the main advantages of confusion and diffusion with (FRFT), it use Arnold Cat map for confusion and Hénon chaotic map or one of the proposed Hénon chaotic maps for diffusion. The proposed algorithm is compared with some image encryption algorithms based on Arnold Cat map, Baker chaotic map, Hénon chaotic map and RC6. The authors perform a comparison between them in several experimental tests as statistical analyses, processing time and security analysis. The authors find from these comparison tests that the proposed algorithm demonstrates good result even better than RC6 and other chaotic maps in some cases.

WACA: a new blind robust watermarking method based on Arnold Cat map and amplified pseudo-noise strings with weak correlation

2019 ◽  
Vol 78 (14) ◽  
pp. 19163-19179 ◽  
Author(s):  
Seyyed Hossein Soleymani ◽  
Amir Hossein Taherinia ◽  
Amir Hossein Mohajerzadeh
Keyword(s):  
Robust Watermarking ◽  
Weak Correlation ◽  
Arnold Cat Map ◽  
Pseudo Noise
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