Chaotic dynamical systems on fractals and their applications to image encryption

[1]  Jinsheng Sun,et al.  A block cipher based on a suitable use of the chaotic standard map , 2005 .

[2]  L. Kocarev Chaos-based cryptography: a brief overview , 2001 .

[3]  Kwok-Wo Wong,et al.  A Fast Image Encryption Scheme based on Chaotic Standard Map , 2006, ArXiv.

[4]  Arnaud E. Jacquin,et al.  Image coding based on a fractal theory of iterated contractive image transformations , 1992, IEEE Trans. Image Process..

[5]  Z. Guan,et al.  Chaos-based image encryption algorithm ✩ , 2005 .

[6]  Shujun Li,et al.  Cryptanalysis of a chaotic image encryption method , 2002, 2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353).

[7]  Ian Stewart,et al.  Does God play dice? , by Ian Stewart. Pp 317. £15. 1989. ISBN 0-631-16847-8 (Basil Blackwell) , 1989, Mathematical Gazette.

[8]  Yuri Maistrenko,et al.  An introduction to the synchronization of chaotic systems: coupled skew tent maps , 1997 .

[9]  Laurie Hodges,et al.  Construction of fractal objects with iterated function systems , 1985, SIGGRAPH.

[10]  Zhi-Hong Guan,et al.  A modified method of a class of recently presented cryptosystems , 2005 .

[11]  Douglas R. Stinson,et al.  Cryptography: Theory and Practice , 1995 .

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

[13]  Di Xiao,et al.  Analysis and improvement of a chaos-based image encryption algorithm , 2009 .

[14]  G. Álvarez,et al.  Cryptanalysis of a discrete chaotic cryptosystem using external key , 2003 .

[15]  J. Fridrich Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .

[16]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[17]  M. Baptista Cryptography with chaos , 1998 .

[18]  P. Billingsley,et al.  Ergodic theory and information , 1966 .

[19]  Xiaojun Tong,et al.  Image encryption with compound chaotic sequence cipher shifting dynamically , 2008, Image Vis. Comput..

[20]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[21]  S. Li,et al.  Breaking an encryption scheme based on chaotic baker map , 2004, Physics Letters.

[22]  Xingyuan Wang,et al.  Color image encryption using spatial bit-level permutation and high-dimension chaotic system , 2011 .

[23]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[24]  James Gleick Chaos: Making a New Science , 1987 .

[25]  Robert A. J. Matthews,et al.  On the Derivation of a "Chaotic" Encryption Algorithm , 1989, Cryptologia.