全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

基于多重函数投影同步的保密通信新算法
A Novel Algorithm of Secure Communication Based on Multiple Function Projective Synchronization

DOI: 10.12677/app.2024.147057, PP. 523-536

Keywords: 保密通信,多重函数投影同步,参数扰动
Secure Communication
, Multiple Function Projective Synchronization, Parametric Perturbation

Full-Text   Cite this paper   Add to My Lib

Abstract:

本文提出了一种新的混沌同步方案——多重函数投影同步,该同步方案比许多现有同步方案更加广义,两个同步系统之间的同步行为更加复杂。基于所提的同步方案并引入参数扰动因子,设计了一种新的保密通信算法,并通过理论分析和数值模拟,证实了算法的有效性和可行性。最后,通过讨论和对比实验展示了该算法的安全性。
A generalized scheme of chaos synchronization, which is called multiple function projective synchronization, is first reported in this paper. This synchronization scheme is more generalized than many existing ones. Under the scheme, the synchronous behavior between two synchronized systems is more complicated. By utilizing the proposed synchronization scheme and introducing the parameter perturbation factor, a novel algorithm of secure communication is designed. From theoretical analysis and numerical simulations, the validity and feasibility of this algorithm is proved. Finally, some discussions and comparison experiments are established to illuminate the security of this algorithm.

References

[1]  Pecora, L.M. and Carroll, T.L. (1990) Synchronization in Chaotic Systems. Physical Review Letters, 64, 821-824.
https://doi.org/10.1103/physrevlett.64.821
[2]  Agiza, H.N. (2004) Chaos Synchronization of Lü Dynamical System. Nonlinear Analysis: Theory, Methods & Applications, 58, 11-20.
https://doi.org/10.1016/j.na.2004.04.002
[3]  Rosenblum, M.G., Pikovsky, A.S. and Kurths, J. (1996) Phase Synchronization of Chaotic Oscillators. Physical Review Letters, 76, 1804-1807.
https://doi.org/10.1103/physrevlett.76.1804
[4]  Chen, Y., Chen, X. and Gu, S. (2007) Lag Synchronization of Structurally Nonequivalent Chaotic Systems with Time Delays. Nonlinear Analysis: Theory, Methods & Applications, 66, 1929-1937.
https://doi.org/10.1016/j.na.2006.02.033
[5]  Wang, Y. and Guan, Z. (2006) Generalized Synchronization of Continuous Chaotic System. Chaos, Solitons & Fractals, 27, 97-101.
https://doi.org/10.1016/j.chaos.2004.12.038
[6]  El-Dessoky, M.M. (2010) Anti-Synchronization of Four Scroll Attractor with Fully Unknown Parameters. Nonlinear Analysis: Real World Applications, 11, 778-783.
https://doi.org/10.1016/j.nonrwa.2009.01.048
[7]  Chen, D., Sun, J. and Huang, C. (2006) Impulsive Control and Synchronization of General Chaotic System. Chaos, Solitons & Fractals, 28, 213-218.
https://doi.org/10.1016/j.chaos.2005.05.057
[8]  Mainieri, R. and Rehacek, J. (1999) Projective Synchronization in Three-Dimensional Chaotic Systems. Physical Review Letters, 82, 3042-3045.
https://doi.org/10.1103/physrevlett.82.3042
[9]  Xu, D. (2001) Control of Projective Synchronization in Chaotic Systems. Physical Review E, 63, Article ID: 027201.
https://doi.org/10.1103/physreve.63.027201
[10]  Li, G. (2007) Modified Projective Synchronization of Chaotic System. Chaos, Solitons & Fractals, 32, 1786-1790.
https://doi.org/10.1016/j.chaos.2005.12.009
[11]  Runzi, L. (2008) Adaptive Function Project Synchronization of R?ssler Hyperchaotic System with Uncertain Parameters. Physics Letters A, 372, 3667-3671.
https://doi.org/10.1016/j.physleta.2008.02.035
[12]  Sudheer, K.S. and Sabir, M. (2009) Adaptive Function Projective Synchronization of Two-Cell Quantum-CNN Chaotic Oscillators with Uncertain Parameters. Physics Letters A, 373, 1847-1851.
https://doi.org/10.1016/j.physleta.2009.03.052
[13]  Du, H., Zeng, Q. and Wang, C. (2009) Modified Function Projective Synchronization of Chaotic System. Chaos, Solitons & Fractals, 42, 2399-2404.
https://doi.org/10.1016/j.chaos.2009.03.120
[14]  Yu, Y. and Li, H. (2010) Adaptive Generalized Function Projective Synchronization of Uncertain Chaotic Systems. Nonlinear Analysis: Real World Applications, 11, 2456-2464.
https://doi.org/10.1016/j.nonrwa.2009.08.002
[15]  Cuomo, K.M. and Oppenheim, A.V. (1993) Circuit Implementation of Synchronized Chaos with Applications to Communications. Physical Review Letters, 71, 65-68.
https://doi.org/10.1103/physrevlett.71.65
[16]  Lu, J., Wu, X. and Lü, J. (2002) Synchronization of a Unified Chaotic System and the Application in Secure Communication. Physics Letters A, 305, 365-370.
https://doi.org/10.1016/s0375-9601(02)01497-4
[17]  Kocarev, L. and Parlitz, U. (1995) General Approach for Chaotic Synchronization with Applications to Communication. Physical Review Letters, 74, 5028-5031.
https://doi.org/10.1103/physrevlett.74.5028
[18]  Parlitz, U., Kocarev, L., Stojanovski, T. and Preckel, H. (1996) Encoding Messages Using Chaotic Synchronization. Physical Review E, 53, 4351-4361.
https://doi.org/10.1103/physreve.53.4351
[19]  Xiao, J.H., Hu, G. and Qu, Z. (1996) Synchronization of Spatiotemporal Chaos and Its Application to Multichannel Spread-Spectrum Communication. Physical Review Letters, 77, 4162-4165.
https://doi.org/10.1103/physrevlett.77.4162
[20]  Sundar, S. and Minai, A.A. (2000) Synchronization of Randomly Multiplexed Chaotic Systems with Application to Communication. Physical Review Letters, 85, 5456-5459.
https://doi.org/10.1103/physrevlett.85.5456
[21]  García-Ojalvo, J. and Roy, R. (2001) Spatiotemporal Communication with Synchronized Optical Chaos. Physical Review Letters, 86, 5204-5207.
https://doi.org/10.1103/physrevlett.86.5204
[22]  Parlitz, U., Chua, L.O., Kocarev, L., Halle, K.S. and Shang, A. (1992) Transmission of Digital Signals by Chaotic Synchronization. International Journal of Bifurcation and Chaos, 02, 973-977.
https://doi.org/10.1142/s0218127492000562
[23]  Tao Yang, and Chua, L.O. (1996) Secure Communication via Chaotic Parameter Modulation. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 43, 817-819.
https://doi.org/10.1109/81.536758
[24]  Hu, J., Han, Y. and Zhao, L. (2010) Synchronizing Chaotic Systems Using Control Based on a Special Matrix Structure and Extending to Fractional Chaotic Systems. Communications in Nonlinear Science and Numerical Simulation, 15, 115-123.
https://doi.org/10.1016/j.cnsns.2009.03.017
[25]  Yan, Z. (2005) Controlling Hyperchaos in the New Hyperchaotic Chen System. Applied Mathematics and Computation, 168, 1239-1250.
https://doi.org/10.1016/j.amc.2004.10.016
[26]  Jia, Q. (2007) Projective Synchronization of a New Hyperchaotic Lorenz System. Physics Letters A, 370, 40-45.
https://doi.org/10.1016/j.physleta.2007.05.028
[27]  Grzybowski, J.M.V., Rafikov, M. and Balthazar, J.M. (2009) Synchronization of the Unified Chaotic System and Application in Secure Communication. Communications in Nonlinear Science and Numerical Simulation, 14, 2793-2806.
https://doi.org/10.1016/j.cnsns.2008.09.028
[28]  Wu, X., Wang, H. and Lu, H. (2011) Hyperchaotic Secure Communication via Generalized Function Projective Synchronization. Nonlinear Analysis: Real World Applications, 12, 1288-1299.
https://doi.org/10.1016/j.nonrwa.2010.09.026

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133