Abstract
In chaotic cryptosystems, it is recognized that using (very) high dimensional chaotic attractors for encrypting a given message may improve the privacy of chaotic encoding. In this paper, we study a kind of hyperchaotic systems by using some classical methods. The results show that besides the high dimension, the sub-Nyquist sampling interval (SI) is also an important factor that can improve the security of the chaotic cryptosystems. We use the method of time series analysis to verify the results.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Parlitz U, Kocarev L (1997) Using surrogate data analysis for unmasking chaotic communication systems. Int J Bifurcation Chaos 7(2):407–413
Parlitz U(1998) Nonlinear time series analysis. In: Proceedings of the 3rd international specialist workshop on nonlinear dynamics of electronic systems, pp. 179–192
Abarbanel HDI, Brown R, Sidorowich JJ et al. (1993) The analysis of observed chaotic data in physical systems. Rev Modern Phys 65(4):1331–1392
Barahona M, Poon Shi-Sang (1996) Detection of nonlinear dynamics in short, noisy time series. Nature 381:215–217
Hilborn RC, Ding MZ (1996) Optimal reconstruction space for estimating correlation dimension. Int J Bifurcation Chaos 6(2):377–381
Gibson JF, Farmer JD, Casdagli M et al. (1992) An analytic approach to practical state space reconstruction. Physica D 57: 1–30
Kennel M, Brown R, Abarbanel HDI (1992) Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys Rev A 45(5):3403–3411
Palus M, Dvorak I (1992) Singular-value decomposition in attractor reconstruction: pitfalls and precautions. Physica D 55: 221–234
Sakaguchi Hidetsugu (2002) Parameter evaluation from time sequences using chaos synchronization. Phys Rev E 65 p 027201-1-4
Theiler J, Prichard D (1996) Constrained-realization Monte-Carlo method for hypothesis testing. Physica D 94:221–235
Lei M, Wang ZZ, Feng ZJ (2001) Detecting nonlinearity action surface EMG signal. Phys Let A 290:297–303
Lei M (2002) Chaotic time series analysis and its application study on chaotic encryption system. PhD Thesis, Shanghai Jiao Tong University, China
Parlitz U, Chua LO, Kocarev Lj, Halle KS, Shang A (1992) Transmission of digital signals by chaotic synchronization. Int J Bifurcation Chaos 2(4):973–977
Parlitz U, Kocarev L, Stojanovski T, Preckel H (1996) Encoding messages using chaotic synchronization. Phys Rev E53:4351–4361
Pecora LM, Carroll TL (1990) Synchronization in chaotic systems. Phys Rev Let 64:821–824
Koc Muammer, Lee J (2001) A system framework for next-generation e-maintenance systems. http://www.umw.edu/ceas/ims/
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, C., Xie, K., Miao, Y. et al. Study on the communication method for chaotic encryption in remote monitoring systems. Soft Comput 10, 224–229 (2006). https://doi.org/10.1007/s00500-005-0475-y
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-005-0475-y