Complex function projective synchronization of complex chaotic system and its applications in secure communication

被引：88

作者：

Liu, Shutang ^{[1
]}

Zhang, Fangfang ^{[1
]}

机构：

[1] Shandong Univ, Coll Control Sci & Engn, Jinan 250061, Peoples R China

来源：

NONLINEAR DYNAMICS | 2014年 / 76卷 / 02期

关键词：

Complex function projective synchronization; Scaling function matrix; Complex chaotic systems; Secure communication; NONLINEAR-SYSTEMS; PHASE; LAG;

D O I：

10.1007/s11071-013-1192-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

To develop secure communication, the paper presents complex function projective synchronization (CFPS) of complex chaotic systems. Aimed to coupled complex chaotic system, the control law is derived to make the complex state vectors asymptotically synchronize up to a desired complex function matrix. Based on CFPS, a novel communication scheme is further designed in theory. Its main idea is chaotic masking in essence, but the transmitted signal is the derivative of the product of the information signal and chaotic signal. As the complex scaling functions are arbitrary and more unpredictable than real scaling functions, and the product and derivative operations of complex numbers are complicated, the possibility that an interceptor extracts the information from the transmitted signal is greatly reduced. The communication system can transmit analog signal and digital symbols with fast transmission and high security, especially low bit-error rate and the strong robustness to noise for digital symbols. The corresponding numerical simulations are performed to verify and illustrate the analytical results.

引用

页码：1087 / 1097

页数：11

共 32 条

[1] Chaos-based M-ary digital communication technique using controlled projective synchronisation [J].

Chee, C. Y. ;

Xu, D. .

IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS, 2006, 153 (04) :357-360

[2] CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].

CUOMO, KM ;

OPPENHEIM, AV .

PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68

[3] Function projective synchronization in coupled chaotic systems [J].

Du, Hongyue ;

Zeng, Qingshuang ;

Wang, Changhong ;

Ling, Mingxiang .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) :705-712

[4] Chaos-based communication systems in non-ideal channels [J].

Eisencraft, M. ;

Fanganiello, R. D. ;

Grzybowski, J. M. V. ;

Soriano, D. C. ;

Attux, R. ;

Batista, A. M. ;

Macau, E. E. N. ;

Monteiro, L. H. A. ;

Romano, J. M. T. ;

Suyama, R. ;

Yoneyama, T. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) :4707-4718

[5] THE COMPLEX LORENTZ EQUATIONS [J].

FOWLER, AC ;

GIBBON, JD ;

MCGUINNESS, MJ .

PHYSICA D, 1982, 4 (02) :139-163

[6] Robust adaptive modified function projective synchronization of different hyperchaotic systems subject to external disturbance [J].

Fu, Guiyuan .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) :2602-2608

[7]

Honglan Zhu, 2011, 2011 3rd International Conference on Computer Research and Development (ICCRD 2011), P451, DOI 10.1109/ICCRD.2011.5763944

[8] Digital communication using chaos and nonlinear dynamics [J].

Illing, Lucas .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) :E2958-E2964

[9] Robust adaptive full state hybrid synchronization of chaotic complex systems with unknown parameters and external disturbances [J].

Liu, Ping ;

Liu, Shutang .

NONLINEAR DYNAMICS, 2012, 70 (01) :585-599

[10] Adaptive modified function projective synchronization of general uncertain chaotic complex systems [J].

Liu, Ping ;

Liu, Shutang ;

Li, Xiang .

PHYSICA SCRIPTA, 2012, 85 (03)

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