Skip to main content
SpringerLink
Log in

Engineering of Mathematical Chaotic Circuits

  • Conference paper
Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 210))

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, …).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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)

    Google Scholar 

  2. Chua, L.O., Kumoro, M., Matsumoto, T.: The Double Scroll Family. IEEE Trans. Circuit and Systems 32(11), 1055–1058 (1984)

    Google Scholar 

  3. 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)

    Google Scholar 

  4. Hénon, M.: A Two-dimensional mapping with a strange attractor. Commun. Math. Phys. 50, 69–77 (1976)

    Article  MATH  Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. 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)

    Article  MATH  Google Scholar 

  7. 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)

    Google Scholar 

  8. Lozi, R.: New Enhanced Chaotic Number Generators. Indian Journal of Industrial and Applied Mathematics 1(1), 1–23 (2008)

    MathSciNet  Google Scholar 

  9. 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)

    Google Scholar 

  10. Lozi, R.: Emergence of randomness from chaos. Int. J. Bifurcation & Chaos 22(2), 1250021, 15pages (2012)

    Article  MathSciNet  Google Scholar 

  11. 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)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire J.A. Dieudonné, UMR CNRS 7351, Université de Nice-Sophia Antipolis, Parc Valrose, 06108, Nice Cedex 02, France

    René Lozi

Authors
  1. René Lozi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to René Lozi .

Editor information

Editors and Affiliations

  1. Faculty of Electrical Eng. & Comp. Sci, Department of Computer Science, VŠB-TUO, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Ivan Zelinka

  2. , Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, China, People's Republic

    Guanrong Chen

  3. , Institute of Physical, University of Tuebingen, Auf der Morgenstelle 8, Tuebingen, 72076, Germany

    Otto E. Rössler

  4. Faculty of Electrical Eng. & Comp. Sci., Department of Computer Science, VŠB-TUO, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Vaclav Snasel

  5. (MIR Labs), Scientific Network for Innovation, Machine Intelligence Research Labs, Auburn, 98071, Washington, USA

    Ajith Abraham

Rights and permissions

Reprints 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)

Publish with us

Policies and ethics

Search

Navigation