A generalized chaos synchronization-based pseudorandom number generator and performance analysis

Based on a generalized chaos synchronization theorem for discrete-time systems, this paper introduces a new 4-dimensional generalized chaos synchronization system. A chaosbased pseudorandom number generator (CPNG) is designed based on the new system. We use the FIPA-140-2 tests issued by the National Institute of Standard and Technology to verify the random properties of the binary number sequences generated by the CPNG. The results showed that all binary number sequences passed the tests. The confidence interval analysis showed that the binary number sequences have sound random properties. Furthermore, the highly sensitivity to the seeds (initial conditions of the CPNG) may make the CPNG be used for “one-time-pad” communication.

[1]  Lequan Min,et al.  A generalized synchronization theorem for discrete-time chaos system with application in data encryption scheme , 2007, 2007 International Conference on Communications, Circuits and Systems.

[2]  Leon O. Chua,et al.  Transmission of Digital signals by Chaotic Synchronization , 1992, Chua's Circuit.

[3]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[4]  Guanrong Chen,et al.  From Chaos To Order Methodologies, Perspectives and Applications , 1998 .

[5]  L. Chua,et al.  Generalized synchronization of chaos via linear transformations , 1999 .

[6]  C. Chui,et al.  A symmetric image encryption scheme based on 3D chaotic cat maps , 2004 .

[7]  H. Fujisaka,et al.  Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach , 1983 .

[8]  Chai Wah Wu,et al.  A Simple Way to Synchronize Chaotic Systems with Applications to , 1993 .

[9]  M. Rabinovich,et al.  Stochastic synchronization of oscillation in dissipative systems , 1986 .

[10]  Leon O. Chua,et al.  Reconstruction and Synchronization of hyperchaotic Circuits via One State Variable , 2002, Int. J. Bifurc. Chaos.

[11]  J. Sprott.  Chaos and time-series analysis , 2001 .

[12]  Parlitz,et al.  Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. , 1996, Physical review letters.

[13]  K.Murali,et al.  Secure communication using a compound signal from generalized synchronizable chaotic systems , 1997, chao-dyn/9709025.

[14]  Guanrong Chen,et al.  Secure synchronization of a class of chaotic systems from a nonlinear observer approach , 2005, IEEE Transactions on Automatic Control.