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Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 102848, 10 pages
Fast Detection of Weak Singularities in a Chaotic Signal Using Lorenz System and the Bisection Algorithm
1School of Electrical Engineering and Automation, Hefei University of Technology, Anhui Province, Hefei City 230009, China
2Department of Mathematics, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy
Received 1 March 2012; Accepted 1 May 2012
Academic Editor: Cristian Toma
Copyright © 2012 Tiezheng Song and Carlo Cattani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- C. Toma, “Advanced signal processing and command synthesis for memory-limited complex systems,” Mathematical Problems in Engineering, Article ID 927821, 13 pages, 2012.
- C. Cattani, “Wavelet based approach to fractals and fractal signal denoising,” Transactions on Computational Science VI, vol. 5730, pp. 143–162, 2009.
- N.-Q. Hu, X.-S. Wen, and M. Chen, “application of the Duffing chaotic oscillator for early fault diagnosis-I. Basic theory,” International Journal of Plant and Management, vol. 7, no. 2, pp. 67–75, 2006.
- Y. Li and B. Yang, “Chaotic system for the detection of periodic signals under the background of strong noise,” Chinese Science Bulletin, vol. 48, no. 5, pp. 508–510, 2003.
- D. Liu, H. Ren, L. Song, and H. Li, “Weak signal detection based on chaotic oscillator,” in Proceedings of the IEEE Industry Applications Conference, 40th IAS Annual Meeting, pp. 2054–2058, October 2005.
- B. Le, Z. Liu, and T. Gu, “Chaotic oscillator and other techniques for detection of weak signals,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E88-A, no. 10, pp. 2699–2701, 2005.
- F. C. Moon, Chaotic and Fractal Dynamics, A Wiley-Interscience Publication, John Wiley & Sons, New York, NY, USA, 1992.
- C. K. Chen, J. J. Yan, T. L. Liao, and M. L. Hung, “Chaos suppression of generalized lorenz system: adaptive fuzzy sliding mode control approach,” in Proceedings of the IEEE Conference on Soft Computing on Industrial Applications (SMCia'08), pp. 318–321, June 2008.
- I. Pehlivan and Y. Uyaroǧlu, “A new chaotic attractor from general Lorenz system family and its electronic experimental implementation,” Turkish Journal of Electrical Engineering and Computer Sciences, vol. 18, no. 2, pp. 171–184, 2010.
- D. S. Lehrman, “A critique of Konrad Lorenz's theory of instinctive behavior,” The Quarterly Review of Biology, vol. 28, no. 4, pp. 337–363, 1953.
- M. Li and W. Zhao, “Visiting power laws in cyber-physical networking systems,” Mathematical Problems in Engineering, vol. 2012, Article ID 302786, 13 pages, 2012.
- M. Li, C. Cattani, and S. Y. Chen, “Viewing sea level by a one-dimensional random function with long memory,” Mathematical Problems in Engineering, vol. 2011, Article ID 654284, 13 pages, 2011.
- Q. H. Alsafasfeh and M. S. Al-Arni, “New chaotic behavior from lorenz and rossler systems and its electronic circuit implementation,” Circuits and Systems, vol. 2, pp. 101–105, 2011.
- A. M. Al-Roumy, “The study of a new lorenz-like model,” Journal of Basrah Researches, vol. 37, no. 3 A, 2011.
- M. Moghtadaei and M. R. H. Golpayegani, “Complex dynamic behaviors of the complex Lorenz system,” Scientia Iranica, vol. 19, no. 3, pp. 733–738, 2012.
- A. K. Kaw, E. E. Kalu, and D. Ngyen, Numerical Methods with Applications, 1st edition, 2008, http://numericalmethods.eng.usf.edu/topics/textbook_index.html.
- R. G. Lyons, Understanding Digital Signal Processing, Prentice Hall PTR, 2004.