Skip to main content

Variety of Nonlinear Type in the Chaotic Oscillator and Structure Organization of the Chaotic Communication System as a Way to Increase the Confidence Degree

  • Chapter
  • First Online:
Cryptology Transmitted Message Protection

Part of the book series: Signals and Communication Technology ((SCT))

  • 617 Accesses

Abstract

As the strategy of resistance increase of the confidential communication systems, authors offer diversification of the nonlinear element of the chaotic oscillator. The idea of the distantly controlled and self-changing transfer characteristic of the nonlinear element is put forward. It is shown that the similar approach to the nonlinearity is under practice unconsciously in optics from XIX century.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Vladimirov SN, Izmailov IV, Poizner BN. Nonlinear-dynamic cryptology: radio physical and optical systems/under edition by S.N. Vladimirov. FizMatLit Publ.; 2009. 208 p. (in Russian).

    Google Scholar 

  2. Vladimirov SN, Smolskiy SM. Non-traditional dynamics in electronics: theory and practice. Paceo Segovia Irvine (USA, CA): Scientific Research Publ. Inc.; 2011. 260 p.

    Google Scholar 

  3. He R, Vaidya PG. Implementation of chaotic cryptography with chaotic synchronization. Phys Rev E. 1998;57(2):1532–1535.

    Google Scholar 

  4. Landa PS. Nonlinear oscillations and waves in dynamical systems. Kluwer Academic Publ.: Dordrecht, Boston, London; 1996. 538 p.

    Google Scholar 

  5. Trubetskov DI. Oscillations and waves for humanitarian students: Textbook for universities. Saratov: “College” Publ.; 1997. 392 p. (in Russian).

    Google Scholar 

  6. Trubetskov DI. Science on complexities in persons, dates and destinies: how the foundations of Synergetics were laid. Moscow: LIBROKOM Publ.; 2013. 312 p. (in Russian).

    Google Scholar 

  7. Hoppensteadt FC. Analysis and simulation of chaotic systems. N.Y: Springer; 2000. 408 p.

    Google Scholar 

  8. Kuznetsov AP, Kuznetsov SP, Ryskin NM. Nonlinear oscillations: textbook for universities. Moscow: FisMatLit Publ.; 2002. 292 p. (in Russian).

    Google Scholar 

  9. Novikov SS, Mokrinskiy DV, Usiukevich AA. Chaotic dynamic of the system of two coupled UHF oscillators. Russ Phys J. 2013;56(8/2):321–325. (in Russian).

    Google Scholar 

  10. Koronovskii AA, Moskalenko OI, Hramov AE. On the use of chaotic synchronization for secure communication. Uspekhi Fizicheskikh Nauk. 2009;179(12):1281–310. doi:10.3367/UFNr.0179.200912c.1281.

    Article  Google Scholar 

  11. Izmailov IV, Poizner BN. Axiomatic scheme for dynamic system investigation: from criteria of their out-of-identity to self-variation. Tomsk: STT Publ.; 2011. 574 p. (in Russian).

    Google Scholar 

  12. Izmailov IV, Poizner BN, Romanov IV. Forming and self-changing non-linearity as a security measure of communication system used chaos. In: Proceedings of 24th International Crimean Conference “Microwave & Telecommunication Technology” (7–13 September, Sevastopol, Crimea, Russia). Sevastopol, 2014. pp. 219–220 (IEEE Catalog Number: CFP14788).

    Google Scholar 

  13. Ashby WR. An introduction to cybernetics. lnd: chapman& hall ltd; 1956. 416 p.  

    Google Scholar 

  14. Izmailov IV, Poizner BN. Nonlinearity generation for increase of a variety of systems with dynamic and static instability. Russ Phys J. 2010;53(2):18–21.

    Google Scholar 

  15. Physical encyclopedia/Under edition of A.M. Prokhorov. Moscow: Sovetskaya Entsiklopediya Publ.; 1983. 928 p. (in Russian).

    Google Scholar 

  16. Nanostructures in Electronics and Photonics. In: Rahman F, editor. World Publ. Co. Pte. Ltd; 2005. 312 p.

    Google Scholar 

  17. Sedov EA. Information criteria of ordering and complexity of system structure organization. In: System conception of information processes. Moscow: AISR of system investigation, 1988. Issue 3. pp. 37–46 (in Russian).

    Google Scholar 

  18. Philosophy of technique: classical, post-classical post-neo-classical. Dictionary/Under edition of B.I. Kudrin. Issue 37 “Cenological investigations”. Moscow: Tekhnetika Publ.; 2008. 180 p. (in Russian).

    Google Scholar 

  19. Hertz H. Über elektrodynamishe Wellen im Luftraume und deren Reflexion. Wied Annalen. 1888;34:610–619.

    Google Scholar 

  20. Shtykov VV. ABC book of young radio operator, or Introduction to radio electronics. Kiev: Osvita Ukrainy Publ.; 2012. 286 p. (in Russian).

    Google Scholar 

  21. Rosanov NN. Optical bi-stability and the hysteresis in distributed nonlinear systems. Moscow: Nauka Publ.; 1997. 336 p. (in Russian).

    Google Scholar 

  22. Osipov GV, Shalfeev VD. Transients in their chain of single-directly coupled phase-locked loop systems. Radioengineering. 1988;6:19–23 (in Russian).

    Google Scholar 

  23. Afraimovich VS, Nekorkin VI, Osipov GV, Shalfeev VD. Stability, structures and the chaos in nonlinear networks of synchronization. Gorky: IAP AS of USSR Publ.; 1989. 224 p. (in Russian).

    Google Scholar 

  24. Kapranov MV, Chernobaev VG. Controllable oscillators of chaotic oscillations on the base of PLL systems. Radiotekhnicheskie tetradi (Мoscow, MPEI). 1998;15:86–90 (in Russian).

    Google Scholar 

  25. Matrosov VV, Shmelyov AV. Nonlinear dynamics of the ensemble from two phase-controlled oscillators with the ring type of coupling. Izvestiya VUZ. Appl Nonlinear Dyn. 2010;18(4):67–80 (in Russian).

    Google Scholar 

  26. Ponomarenko VP. Nonlinear effects in the selg-oscillation system with frequency-phase control Izvestiya VUZ. Appl Nonlinear Dyn. 2012;20(4):66–84 (in Russian).

    Google Scholar 

  27. Mischenko MA, Shalfeev VD, Matrosov VV. Neuron-similar dynamics in the system of phase synchronization Izvestiya VUZ. Appl Nonlinear Dyn. 2012;20(4):122–130 (in Russian).

    Google Scholar 

  28. Kriukov AK, Osipov GV. Influence of oscillator medium properties on propagation of excitation Izvestiya VUZ. Appl Nonlinear Dyn. 2013;21(2):188–200 (in Russian).

    Google Scholar 

  29. Akhmanov SA, Vorontsov MA. Instabilities and structures in coherent nonlinear-optical systems, enveloped by two-dimensional feedback Nonlinear waves: dynamics and evolution. Moscow: Nauka Publ.; 1989. pp. 228–237 (in Russian).

    Google Scholar 

  30. Izmailov IV, Lyachin AV, Poizner BN. Deterministic chaos in models of the nonlinear ring interferometer. Tomsk: Tomsk State University Publ.; 2007. 258 p (in Russian).

    Google Scholar 

  31. Izmailov IV, Poizner BN, Romanov IV, Smolskiy SM. About parallels in dynamics of radio electronic chaos generators having «prepared» and formed nonlinearity. Russ Phys J. 2015; 58(8/3):109–113 (in Russian).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Igor Izmailov .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Izmailov, I., Poizner, B., Romanov, I., Smolskiy, S. (2016). Variety of Nonlinear Type in the Chaotic Oscillator and Structure Organization of the Chaotic Communication System as a Way to Increase the Confidence Degree. In: Cryptology Transmitted Message Protection. Signals and Communication Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-30125-9_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-30125-9_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30123-5

  • Online ISBN: 978-3-319-30125-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics