A New Multistage Chaos Synchronized System for Secure Communications

Based on Lyapunov stabilization theorem, considering the diffusionless chaotic system, a method is proposed for global chaos synchronization of three identical systems. Meanwhile, the method of three different structures chaotic systems global synchronization is shown. Then this method is applied to secure communication through chaotic masking, use three coupled identical systems, propose a novel method of chaos encryption, after encrypting in the first two coupled systems, do it again in the later two coupled systems. Simulation results show that the method can realize monotonous synchronization. Further more, the information signal can be recovered undistorted when applying this method to secure communication.

[1]  Jiang De-Ping,et al.  A switch-modulated method for hyperchaotic digital secure communications based on drive functions , 2006 .

[2]  D.I.R. Almeida,et al.  Robust synchronization of a class of nonlinear systems , 2004, Proceedings of the 2004 American Control Conference.

[3]  S. Bowong.  Stability analysis for the synchronization of chaotic systems with different order: application to secure communications , 2004 .

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

[5]  Julien Clinton Sprott,et al.  A comparison of correlation and Lyapunov dimensions , 2005 .

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

[7]  Juergen Kurths,et al.  Introduction: Control and synchronization in chaotic dynamical systems. , 2003, Chaos.

[8]  Leon O. Chua,et al.  Experimental Demonstration of Secure Communications via Chaotic Synchronization , 1992, Chua's Circuit.

[9]  Parlitz,et al.  General approach for chaotic synchronization with applications to communication. , 1995, Physical Review Letters.

[10]  Nikolai F. Rulkov,et al.  Chaotic pulse position modulation: a robust method of communicating with chaos , 2000, IEEE Communications Letters.

[11]  Michael Peter Kennedy,et al.  Chaos shift keying : modulation and demodulation of a chaotic carrier using self-sychronizing chua"s circuits , 1993 .

[12]  Y. Lai,et al.  Observability of lag synchronization of coupled chaotic oscillators. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  S. S. Yang,et al.  Generalized Synchronization in Chaotic Systems , 1998 .

[14]  José Manoel Balthazar,et al.  Synchronization of the unified chaotic system and application in secure communication , 2009 .

[15]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[16]  Leon O. Chua,et al.  Spread Spectrum Communication Through Modulation of Chaos , 1993 .

[17]  Meng Zhan,et al.  Complete synchronization and generalized synchronization of one-way coupled time-delay systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Zhujun Jing,et al.  Complex dynamics in Duffing–Van der Pol equation , 2006 .

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

[20]  Lu Jun-Guo,et al.  Chaos communication based on synchronization of discrete-time chaotic systems , 2005 .

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

[22]  Clément Tchawoua,et al.  Strange attractors and chaos control in a Duffing–Van der Pol oscillator with two external periodic forces , 2004 .

[23]  Yinping Zhang,et al.  Chaotic synchronization and anti-synchronization based on suitable separation , 2004 .