Synchronization of the unified chaotic system and application in secure communication

Abstract This paper studies the synchronization of the unified chaotic system via optimal linear feedback control and the potential use of chaos in cryptography, through the presentation of a chaos-based algorithm for encryption.

[1]  Jun-an Lu,et al.  Synchronization of a unified chaotic system and the application in secure communication , 2002 .

[2]  Gonzalo Álvarez,et al.  Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems , 2003, Int. J. Bifurc. Chaos.

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

[4]  Alan V. Oppenheim,et al.  Circuit implementation of synchronized chaos with applications to communications. , 1993, Physical review letters.

[5]  Guo-Ping Jiang,et al.  A New Criterion for Chaos Synchronization Using Linear State Feedback Control , 2003, Int. J. Bifurc. Chaos.

[6]  Chi-Chuan Hwang,et al.  A new feedback control of a modified Chua's circuit system , 1996 .

[7]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

[8]  Jun-an Lu,et al.  Adaptive feedback synchronization of a unified chaotic system , 2004 .

[9]  P. Woafo,et al.  Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification , 2005 .

[10]  Ahmad Harb,et al.  Chaotic Systems Synchronization in Secure Communication Systems , 2006, Communications in Computing.

[11]  K. Wong,et al.  A secure communication scheme based on the phase synchronization of chaotic systems. , 2003, Chaos.

[12]  Ljupco Kocarev,et al.  General approach for chaotic synchronization with applications to communication. , 1995, Physical review letters.

[13]  S. Mascolo,et al.  Design of nonlinear observers for hyperchaos synchronization using a scalar signal , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

[14]  Chun-Mei Yang,et al.  A Detailed Study of Adaptive Control of Chaotic Systems with Unknown Parameters , 1998 .

[15]  Shuzhi Sam Ge,et al.  Adaptive backstepping Control of uncertain Lorenz System , 2001, Int. J. Bifurc. Chaos.

[16]  José Manoel Balthazar,et al.  On control and synchronization in chaotic and hyperchaotic systems via linear feedback control , 2008 .

[17]  Gonzalo Alvarez,et al.  Breaking projective chaos synchronization secure communication using filtering and generalized synchronization , 2004, Chaos, Solitons & Fractals.

[18]  LequanMin,et al.  A new theorem to synchronization of unified chaotic systems via adaptive control , 2003 .

[19]  S. Mascolo,et al.  Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal , 1997 .

[20]  Saverio Mascolo,et al.  Backstepping design for controlling Lorenz chaos , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[21]  Simson L. Garfinkel,et al.  Practical UNIX and Internet Security , 1996 .

[22]  M. T. Yassen,et al.  Chaos synchronization between two different chaotic systems using active control , 2005 .

[23]  M. M. El-Dessoky,et al.  Global chaos synchronization for four-scroll attractor by nonlinear control , 2006 .

[24]  Dibakar Ghosh,et al.  On the various kinds of synchronization in delayed Duffing-Van der Pol system , 2008 .

[25]  Alexander Yu. Pogromsky,et al.  OBSERVER-BASED ROBUST SYNCHRONIZATION OF DYNAMICAL SYSTEMS , 1998 .

[26]  Mohammad Haeri,et al.  Global Synchronization of Two Different Chaotic Systems via Nonlinear Control , 2005 .

[27]  D. López Mancilla,et al.  A note on chaos-based communication schemes , 2005 .

[28]  G Alvarez,et al.  Breaking a secure communication scheme based on the phase synchronization of chaotic systems. , 2003, Chaos.

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

[30]  Santo Banerjee,et al.  Synchronization between variable time-delayed systems and cryptography , 2007, 0802.0768.

[31]  K. Wong,et al.  A fast chaotic cryptographic scheme with dynamic look-up table , 2002 .

[32]  Xiaoqun Wu,et al.  Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems , 2005 .

[33]  Mohamed I. Sobhy,et al.  Methods of attacking chaotic encryption and countermeasures , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[34]  Lixin Tian,et al.  Chaos Synchronization of the Energy Resource Chaotic System with Active Control , 2007 .

[35]  Gonzalo Álvarez,et al.  Breaking network security based on synchronized chaos , 2004, Comput. Commun..