ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Izmailov I. V., Poizner B. N. Chaos in radio device with square­law phase modulator and interference amplification of quasi­harmonic signal: a model and simulation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 1, pp. 61-79. DOI: 10.18500/0869-6632-2010-18-1-61-79

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
531.86 + 621.3
DOI: 
10.18500/0869-6632-2010-18-1-61-79

Chaos in radio device with square­law phase modulator and interference amplification of quasi­harmonic signal: a model and simulation

Autors: 
Izmailov Igor Valerevich, National Research Tomsk State University
Poizner Boris Nikolaevich, National Research Tomsk State University
Abstract: 

The attempt is undertaken to define a class of oscillations or waves sources, the operation principle of which is based on interference amplification of feedback signal by an input signal. The precedent here is the optical Ikeda’s system. The radio-electronic analog of a nonlinear ring interferometer and it modification are offered, the block diagrams and mathematical models are constructed. The computer simulation is performed. An intermittency, chaos, regular, static modes are detected.

Key words: 
Interference amplification
delayed feedback
bifurcation
chaos
intermittency
static state
Reference: 
  1. Ikeda K. Multiple-valued stationary state and its instability of the transmitted light by ring cavity system. Opt. Comm. 1979;30(2):257–261. DOI: 10.1016/0030-4018(79)90090-7.
  2. Neimark YuI, Landa PS. Stochastic and Chaotic Oscillations. Moscow: Nauka; 1987. 424 p. (in Russian).
  3. Landa PS. Nonlinear Oscillations and Waves. Moscow: Fizmatlit; 1997. (in Russian).
  4. Kuznetsov SP. Dynamical Chaos: Course of Lectures. Moscow: Fizmatlit; 2001. (in Russian)
  5. Adachihara H, Faid H. Two-dimensional nonlinear-interferometer pattern analysis and decay of spirals. Opt. Soc. Am. 1993;10(7):1242–1253. DOI: 10.1364/JOSAB.10.001242.
  6. Akhmanov SA, Vorontsov MA. (Eds.) New Physical Principles of Optical Information Processing. Moscow: Nauka; 1990. 400 pp. (in Russian).
  7. Chesnokov SS, Rybak AA. Spatiotemporal chaotic behavior of time-delayed nonlinear optical systems. Laser Physics. 2000;10(5):1061–1068.
  8. Rozanov NN. Optical Bistability and Hysteresis in Distributed Nonlinear Systems. Moscow: Nauka; 1997. (in Russian).
  9. Ryskin NM, Khavroshin OS. Controlling chaos in Ikeda system: Symplified discrete map model. Izvestiya VUZ. Applied Nonlinear Dynamics. 2009;17(2):66–86 (in Russian).
  10. Ryskin NM, Havroshin OS. Controlling chaos in Ikeda system. Spatio–temporal model. Izvestiya VUZ. Applied Nonlinear Dynamics. 2009;17(2):87–98 (in Russian). DOI: 10.18500/0869-6632-2009-17-2-87-98.
  11. Garcia-Ojalvo J, Roy R. Spatiotemporal communication with synchronized optical chaos. Phys. Rev. Lett. 2001;86(22):5204–5207. DOI: 10.1103/PhysRevLett.86.5204.
  12. Carmon T, Buljan H, Segev M. Spontaneous pattern formation in a cavity with incoherent light. Optics Express. 2004;12(15):3481–3487. DOI: 10.1364/opex.12.003481.
  13. Schwartz T, Fleischer JW, Cohen O, Buljan H, Segev M, Carmon T. Pattern formation in a ring cavity with temporally incoherent feedback. J. Opt. Soc. Am. B. 2004;21(12):2197–2205. DOI: 10.1364/JOSAB.21.002197.
  14. Smirnov E, Stepic M, Shandarov V, Kip D. Pattern formation by spatially incoherent light in a nonlinear ring cavity. Appl. Phys. B. 2006;85:135–138. DOI: 10.1007/s00340-006-2267-1.
  15. Izmailov IV, Lyachin AV, Poizner BN. Deterministic Chaos in Models of a Nonlinear Ring Interferometer. Tomsk: Publishing House of Tomsk State University; 2007. (in Russian).
  16. Vladimirov SN, Izmailov IV, Poizner BN. Nonlinear-dynamic cryptology: radiophysical and optical systems. Ed. By Vladimirov SN. Moscow: Fizmatlit; 2009. 208 p. (in Russian).
  17. Izmailov IV, Poizner BN. Radio analogue of the optical chaos generator: model and experimental implementation. Materials of XIV Winter school-seminar on Microwave electronics and radiophysics of ultrahigh frequencies. Saratov: Publishing centre «RATA», 2009:48. (in Russian).
  18. Timashev SF. Flicker-noise as an indicator of the "Time Arrow". Methodology of the time series analysis on the base of the deterministic chaos theory. Mendeleev Chemistry Journal. 1997;41(3):17–29 (in Russian).
  19. Izmailov IV, Poizner BN. On the concept of interference amplification in the context of deterministic chaos generation. Fifth Anniversary Kurdyumov Readings: Synergetics in the Natural Sciences, Proceeding of the International Interdisciplinary Conference (April 16-18). Tver: Tver. State University. 2009;1:80. (in Russian).
  20. Anishchenko VS, Astakhov VV, Vadivasova TE, Neiman AB, Strelkova GI, Schimansky-Geier L. Nonlinear Effects in Chaotic and Stochastic Systems. Izhevsk: Institute of Computer Sciences; 2003.
  21. Dmitriev AS, Panas AI. Dynamic Chaos: Novel Type of Information Carrier for Communications Systems. Moscow: Fizmatlit; 2002. (in Russian).
Received: 
16.06.2009
Accepted: 
05.09.2009
Published: 
31.03.2010
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