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


For citation:

Krasichkov L. V., Ryskin N. M. Amplification of deterministic chaotic signal in system «electron beam - backward electromagnetic wave». Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 2, pp. 3-9. DOI: 10.18500/0869-6632-2000-8-2-3-9

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 0)
Language: 
Russian
Article type: 
Article
UDC: 
517.9:621.373:621.385

Amplification of deterministic chaotic signal in system «electron beam - backward electromagnetic wave»

Autors: 
Krasichkov L. V., Saratov State University
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

Numerical simulations of amplification of deterministic chaotic signal originated from Rossler system in «electron beam — backward electromagnetic wave» system (microwave backward wave amplifier) were carried out. It is shown that during the amplification the signal complicates that is demonstrated by distortion of the attractor structure and by increasing of correlation dimension from input to output of the amplifier. It was found that the chaotic signal is distorted in the same manner as when it passes through the linear filters.

Key words: 
Acknowledgments: 
The work was supported by the RFBR (grant № № 99-02-16016).
Reference: 
  1. Badii R, Broggi G, Derighetti B, Ravani M, Cliberto S, Politi А, Rubio MA. Dimension increase in filtered chaotic signals. Phys.Rev.Lett. 1988;60(11):979-982. DOI: 10.1103/PhysRevLett.60.979.
  2. Mitschke F, Moller M, Lange W. Measuring filtered chaotic signals. Phys. Rev. А. 1988;37(11):4518-4521. DOI: 10.1103/physreva.37.4518.
  3. Kipchatov AA, Krasichkov LV. Changing the structure of a strange attractor during bandpass filtering of chaotic oscillations. Tech. Phys. Lett. 1993;19(17):68-71. (in Russian).
  4. Kipchatov AA, Krasichkov LV. Superfractalization of a chaotic attractor with linear filtration. Tech. Phys. Lett. 1995;21(4):1-6. (in Russian).
  5. Gaponov-Grekhov AV, Rabinovich MI, Starobinets LM, Tsimring MSh, Chugurin VV.  Ω—dimension оf chaotic time series. CHAOS. 1994;4(1):55-62. DOI: 10.1063/1.166057.
  6. Krasichkov LV, Kipchatov AA. On high—dimensional oscillations from lattice оf linear elements. In: Rabinovich M, Sushchik MM, Shalfeev VD, editors. Vol. 1 of Nonlinear Waves. Synchronization аnd Patterns. Nizhny Novgorod: Nizhny Novgorod Univer Press; 1995. P. 69-74.
  7. Shevchik VN, Tpybetskov DI. Analytical calculation methods in microwave electronics. M.: Sovetskoe Radio; 1971. 584p. (in Russian).
  8. Kats AM, Ilyina VM, Mankin IA. Nonlinear phenomena in O-type devices. M.: Sovetskoe Radio; 1971. (in Russian).
  9. Shevchik VN, Trubetskov DI, editors. Electronics of Backward Wave Lamps. Saratov: Saratov University Publishing; 1975. 195 p. (in Russian).
  10. Ginzburg NS, Kuznetsov SP, Fedoseeva TN. Theory of transients in relativistic backward-wave tubes. Radiophysics and Quantum Electronics. 1978;21(7):728-739. DOI: 10.1007/BF01033055.
  11. Bezruchko BP, Bulgakova LV, Kuznetsov SP, Trubetskov DI. Experimental and theoretical study of stochastic self-oscillations in backward-wave tubes. In: Vol. 5 of  Lectures on Microwave Electronics and Radiophysics. Saratov: Saratov University Publishing; 1980. P. 30-77. (in Russian).
  12. Trubetskov DI, Chetverikov AP. Self-oscillations in a distributed system of electron flow - counter (backward) electromagnetic wave. Izvestiya VUZ. Applied Nonlinear Dynamics. 1994;2(5):9-34. (in Russian).
  13. Rössler OE. An equation for continuous chaos. Phys. Lett. А. 1976;57(5):397-398. DOI: 10.1016/0375-9601(76)90101-8.
  14. Takens F. Detecting strange attractors in turbulence. In: Vol. 898 of Dynamical Systems and Turbulence. Lect. Notes in Math. Berlin: Springer-Verlag;1981. P. 366-381. DOI: 10.1007/BFb0091924.
  15. Grassberger Р, Procaccia I. Characterization оf strange attractors. Phys. Rev. Lett. 1983;50(5):346-349. DOI: 10.1103/PhysRevLett.50.346.
  16. Krasichkov LV. Influence of amplitude and phase properties of linear filter for the transformation of chaotic oscillations. Tech. Phys. Lett. 1996;22(22):72-77.
Received: 
21.12.1999
Accepted: 
13.02.2000
Published: 
25.05.2000