Abstract
The memristor-based Chua’s chaotic system provides a new framework for secure communications with chaos. This paper deals with an identification technique of memristor-based chaotic systems via support vector machine (SVM) regression. An illustrative numerical example, where the memristor was characterized by a smooth continuous cubic monotone-increasing nonlinearity, was given to verify the effectiveness of the identification scheme. The identification results of memristor-based chaotic systems via the SVM technique has been found to give excellent performance even in the presence of additive noise.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Chua, L.: Memristor-the Missing Circuit Element. IEEE Transactions on Circuit Theory 18(5), 507–519 (1971)
Strukov, D.B., Snider, G.S., Stewart, D.R., Williams, R.S.: The Missing Memristor Found. Nature 453(7191), 80–83 (2008)
Itoh, M., Chua, L.O.: Memristor Oscillators. International Journal of Bifurcation and Chaos 18(11), 3183–3206 (2008)
Bao, B.C., Liu, Z., Xu, B.P.: Dynamical Analysis of Memristor Chaotic Oscillator. Acta Physica Sinica 59(6), 3785–3793 (2010)
Bao, B.C., Liu, Z., Xu, J.P.: Steady Periodic Memristor Oscillator with Transient Chaotic Behaviours. Electronics Letters 46(3), 228–229 (2010)
Bao, B.C., Liu, Z., Xu, J.P.: Transient Chaos in Smooth Memristor Oscillator. Chinese Physics B 19(3), 030510 (2010)
Muthuswamy, B., Kokate, P.P.: Memristor-Based Chaotic Circuits. IETE Technical Review 26(6), 417–429 (2009)
Zhong, Q.S., Yu, Y.B., Yu, J.B.: Fuzzy Modeling and Impulsive Control of a Memristor-Based Chaotic System. Chinese Physics Letters 27(2) (2010)
Cafagna, D., Grassi, G.: Decomposition Method for Studying Smooth Chua’s Equation with Application to Hyperchaotic Multiscroll Attractors. International Journal of Bifurcation and Chaos 17(1), 209–226 (2007)
Vapnik, V.N.: Statistical Learning Theory. John Wiley & Sons, Inc., New York (1998)
Scholkopf, B., Smola, A.J., Williamson, R.C., Bartlett, P.L.: New Support Vector Algorithms. Neural Computation 12(5), 1207–1245 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, XD., Ye, MY. (2011). Identification of Memristor-Based Chaotic Systems Using Support Vector Machine Regression. In: Qi, L. (eds) Information and Automation. ISIA 2010. Communications in Computer and Information Science, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19853-3_53
Download citation
DOI: https://doi.org/10.1007/978-3-642-19853-3_53
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19852-6
Online ISBN: 978-3-642-19853-3
eBook Packages: Computer ScienceComputer Science (R0)