Abstract
We introduce the paradigm of chaotic mathematical circuitry which shows some similarity to the paradigm of electronic circuitry especially in the frame of chaotic attractors for application purpose (cryptography, generic algorithms in optimization, control, …).
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
Cherrier, E., Lozi, R.: Noise-resisting ciphering based on a chaotic multi-stream pseudo-random number generator. In: Proc. IEEE Conference Internet Technology and Secured Transactions (ICITST), Abu Dhabi, December 11-14, pp. 91–96 (2011)
Chua, L.O., Kumoro, M., Matsumoto, T.: The Double Scroll Family. IEEE Trans. Circuit and Systems 32(11), 1055–1058 (1984)
Espinel, A., Taralova, I., Lozi, R.: Dynamical and Statistical Analysis of a New Lozi Function for Random Numbers Generation. In: Proceeding of Physcon 2011, León, Spain, September 5-8. IPACS open Access Electronic Library and Applications (2011)
Hénon, M.: A Two-dimensional mapping with a strange attractor. Commun. Math. Phys. 50, 69–77 (1976)
Kapitaniak, T., Chua, L.O., Zhong, G.-H.: Experimental hyperchaos in coupled Chua’s circuits. IEEE Trans. Circuit and Systems 41(7), 499–503 (1994)
Lozi, R., Chua, L.O.: Secure communications via chaotic synchronization II: noise reduction by cascading two identical receivers. Int. J. Bifurcation & Chaos 3(5), 1319–1325 (1993)
Lozi, R.: Giga-periodic orbits for weakly coupled tent and logistic discretized maps. In: Siddiqi, A.H., Duff, I.S., Christensen, O. (eds.) Modern Mathematical Models, Methods and Algorithms for Real World Systems, pp. 80–124. Anamaya Publishers, New Delhi (2006)
Lozi, R.: New Enhanced Chaotic Number Generators. Indian Journal of Industrial and Applied Mathematics 1(1), 1–23 (2008)
Lozi, R.: Complexity leads to randomness in chaotic systems. In: Siddiqi, A.H., Singh, R.C., Manchanda, P. (eds.) Mathematics in Science and Technology: Mathematical Methods, Models and Algorithms in Science and Technology. Proceedings of the Satellite Conference of ICM, Delhi, India, August 15-17, pp. 93–125. World Scientific Publisher, Singapore (2010)
Lozi, R.: Emergence of randomness from chaos. Int. J. Bifurcation & Chaos 22(2), 1250021, 15pages (2012)
Pluhacek, M., Senkerik, R., Davendra, D., Zelinka, I.: Designing PID Controller for DC Motor by Means of Enhanced PSO Algorithm with Dissipative Chaotic Map. In: Snasel, V., Abraham, A., Corchado, E.S. (eds.) SOCO Models in Industrial & Environmental Appl. AISC, vol. 188, pp. 475–483. Springer, Heidelberg (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this paper
Cite this paper
Lozi, R. (2013). Engineering of Mathematical Chaotic Circuits. In: Zelinka, I., Chen, G., Rössler, O., Snasel, V., Abraham, A. (eds) Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol 210. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00542-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-00542-3_5
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00541-6
Online ISBN: 978-3-319-00542-3
eBook Packages: EngineeringEngineering (R0)