scholarly journals Cryptanalysis of a cryptosystem based on discretized two-dimensional chaotic maps

2008 ◽  
Vol 372 (46) ◽  
pp. 6922-6924 ◽  
Author(s):  
Ercan Solak ◽  
Cahit Çokal
Keyword(s):  
Chaotic Maps ◽  
Two Dimensional

FAILURE OF A MEAN-FIELD APPROACH FOR THE MILLER–HUSE PHASE TRANSITION

2000 ◽  
Vol 10 (01) ◽  
pp. 251-256 ◽  
Author(s):  
FRANCISCO SASTRE ◽  
GABRIEL PÉREZ
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Chaotic Maps ◽  
Initial Conditions ◽  
Mean Field ◽  
Region Of Interest ◽  
Universality Class ◽  
Two Dimensional ◽  
Field Approach

The diffusively coupled lattice of odd-symmetric chaotic maps introduced by Miller and Huse undergoes a continuous ordering phase transition, belonging to a universality class close but not identical to that of the two-dimensional Ising model. Here we consider a natural mean-field approach for this model, and find that it does not have a well-defined phase transition. We show how this is due to the coexistence of two attractors in its mean-field description, for the region of interest in the coupling. The behavior of the model in this limit then becomes dependent on initial conditions, as can be seen in direct simulations.

THE DYNAMICS AND STATISTICS OF BIVARIATE CHAOTIC MAPS IN COMMUNICATIONS MODELING

2004 ◽  
Vol 14 (04) ◽  
pp. 1177-1194 ◽  
Author(s):  
RACHEL M. HILLIAM ◽  
ANTHONY J. LAWRANCE
Keyword(s):  
Chaotic Maps ◽  
Two Dimensional ◽  
Arnold Cat Map ◽  
Chebyshev Map ◽  
Shift Keying ◽  
Dynamical Properties ◽  
Chaos Shift Keying

Statistical and dynamical properties of bivariate (two-dimensional) maps are less understood than their univariate counterparts. This paper gives a synthesis of extended results with exemplifications by bivariate logistic maps, the bivariate Arnold cat map and a bivariate Chebyshev map. The use of synchronization from bivariate maps in communication modeling is exemplified by an embryonic chaos shift keying system.

scholarly journals Cryptography Using Multiple Two-Dimensional Chaotic Maps

2012 ◽  
Vol 4 (8) ◽  
pp. 1-7 ◽  
Author(s):  
Ibrahim S. I. Abuhaiba ◽  
Amina Y. AlSallut ◽  
Hana H. Hejazi ◽  
Heba A. AbuGhali
Keyword(s):  
Chaotic Maps ◽  
Two Dimensional
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