Reducing the Dynamical Degradation by Bi-Coupling Digital Chaotic Maps

A chaotic map which is realized on a computer will suffer dynamical degradation. Here, a coupled chaotic model is proposed to reduce the dynamical degradation. In this model, the state variable of ...

[1]  Sang Tao,et al.  Perturbance-based algorithm to expand cycle length of chaotic key stream , 1998 .

[2]  Liu Yang,et al.  A new pseudorandom number generator based on a complex number chaotic equation , 2012 .

[3]  Lingfeng Liu,et al.  A pseudorandom bit generator based on new multi-delayed Chebyshev map , 2016, Inf. Process. Lett..

[4]  Lingfeng Liu,et al.  An analogue-digital mixed method for solving the dynamical degradation of digital chaotic systems , 2014, IMA J. Math. Control. Inf..

[5]  Guanrong Chen,et al.  A chaos-based image encryption algorithm with variable control parameters , 2009 .

[6]  Yicong Zhou,et al.  Cascade Chaotic System With Applications , 2015, IEEE Transactions on Cybernetics.

[7]  Nithin Nagaraj,et al.  Increasing average period lengths by switching of robust chaos maps in finite precision , 2008, 0811.1823.

[8]  X. Mou,et al.  Improving security of a chaotic encryption approach , 2001, Physics Letters A.

[9]  Lingjian Meng,et al.  Activity criterion of pre-existing fabrics in non-homogeneous deformation domain , 2010 .

[10]  Fuyan Sun,et al.  Cryptographic pseudo-random sequence from the spatial chaotic map , 2009 .

[11]  Daniel D. Wheeler,et al.  Supercomputer Investigations of a Chaotic Encryption Algorithm , 1991, Cryptologia.

[12]  Fatih Özkaynak.  A novel method to improve the performance of chaos based evolutionary algorithms , 2015 .

[13]  Vinod Patidar,et al.  A Pseudo Random Bit Generator Based on Chaotic Logistic Map and its Statistical Testing , 2009, Informatica.

[14]  Lingfeng Liu,et al.  Delay-introducing method to improve the dynamical degradation of a digital chaotic map , 2017, Inf. Sci..

[15]  R. Povinelli,et al.  Analyzing Logistic Map Pseudorandom Number Generators for Periodicity Induced by Finite Precision Floating-Point Representation , 2012 .

[16]  Liu Nian-sheng,et al.  Pseudo-randomness and complexity of binary sequences generated by the chaotic system , 2011 .

[17]  Lih-Yuan Deng,et al.  Period Extension and Randomness Enhancement Using High-Throughput Reseeding-Mixing PRNG , 2012, IEEE Transactions on Very Large Scale Integration (VLSI) Systems.

[18]  Ljupco Kocarev,et al.  Discrete Chaos-I: Theory , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[19]  Pierre L'Ecuyer,et al.  TestU01: A C library for empirical testing of random number generators , 2006, TOMS.

[20]  Yong Wang,et al.  A pseudorandom number generator based on piecewise logistic map , 2015, Nonlinear Dynamics.

[21]  Yuli Eidelman,et al.  Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices , 1997 .

[22]  Jacques M. Bahi,et al.  A Pseudo Random Numbers Generator Based on Chaotic Iterations: Application to Watermarking , 2010, WISM.

[23]  Guanrong Chen,et al.  On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps , 2005, Int. J. Bifurc. Chaos.

[24]  Lingfeng Liu,et al.  An image encryption algorithm based on Baker map with varying parameter , 2017, Multimedia Tools and Applications.

[25]  S M Pincus,et al.  Approximate entropy as a measure of system complexity. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[26]  Naixue Xiong,et al.  A general hybrid model for chaos robust synchronization and degradation reduction , 2015, Inf. Sci..