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

For citation:

Novikov S. S., Usjukevich A. A. Destruction of the coherent mode in system of two oscillators at the strong resonant mutual couplings. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 5, pp. 14-25. DOI: 10.18500/0869-6632-2012-20-5-14-25

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: 100)
Article type: 

Destruction of the coherent mode in system of two oscillators at the strong resonant mutual couplings

Novikov Sergej Sergeevich, National Research Tomsk State University
Usjukevich Aleksandr Aleksandrovich, National Research Tomsk State University

The hypothesis about destruction of a coherent mode in system of two mutual couplings microwave oscillators is examine, each of which in a stand-alone mode generates stable unifrequent oscillations. It is experimentally shown, that at strong resonant couplings synchronous oscillations are unstable, therefore the system go over in in a mode of dynamic chaos. 

  1. Dvornikov AA, Utkin GM. Phased Oscillators Of Radio Transmitting Devices. Moscow: Energiya; 1980. 177 p. (in Russian).
  2. Demyanchenko AG. Synchronization of Harmonic Oscillators. Moscow: Energiya; 1976. 240 p. (in Russian).
  3. Rubanik VP. Oscillations of Quasilinear Systems with Delay. Moscow: Nauka; 1969. 288 p. (in Russian).
  4. Vladimirov SN, Maidanovsky AS, Novikov SS. Nonlinear Oscillations of Multifrequency Self-Oscillating Systems. Tomsk: Tomsk University Publishing; 1993. 203 p. (in Russian).
  5. Kal’yanov EV. Features of induced synchronization of a bistable oscillator with chaotic dynamics. Tech. Phys. Lett. 2011;37(11):1042–1045. DOI: 10.1134/S1063785011110241.
  6. Dmitriev BS, Zharkov JD, Skorohodov VN, Genshaft AM. Synchronization of two coupled klystron active oscillators with delayed feedback. Izvestiya VUZ. Applied Nonlinear Dynamics. 2008;16(2):131–141 (in Russian). DOI: 10.18500/0869-6632-2008-16-2-131-141.
  7. Anishchenko VS, Astakhov VV, Vadivasova TE, Strelkova GI. Synchronization of Regular, Chaotic and Stochastic Oscillations. Moscow-Izhevsk: Scientific Publishing Center «Regular and Chaotic Dynamics»; 2008. 144 p. (in Russian).
  8. Ovchinnikov AA, Moskalenko OI, Koronovskii AA, Hramov AE. Experimental study of the generalized synchronization of chaotic oscillations in the presence of noise. Tech. Phys. Lett. 2010;36(2):148–150. DOI: 10.1134/S1063785010020161.
  9. Dmitriev AS, Panas AI. Dynamic Chaos: New Carriers of Information for Communication Systems. Moscow: Fizmatlit; 2002. 252 p. (in Russian).
  10. Vladimirov SN, Izmailov IV, Poizner BN. Nonlinear Dynamic Cryptology. Radiophysical and Optical Systems. Moscow: Fizmatlit; 2009. 204 p. (in Russian).
  11. Maidanovskii SA, Novikov SS. Symmetric and asymmetric systems of strongly coupled self-excited oscillators. J. Commun. Technol. Electron. 2003;48(5):595–600 (in Russian).
  12. Dvornikov AA, Ogurtsov VI. About resonantly coupled oscillators. Radio Engineering and Electronic Physics. 1977;22(5):1003–1007 (in Russian).
  13. Lynch JJ, York RA. Synchronization of oscillators coupled through narrow-band networks. IEEE Transactions on Microwave Theory and Techniques. 2001;49(2):237–249. DOI: 10.1109/22.903084.
  14. Novikov SS. Dynamic and static instabilities of coherent self-oscillating system with controlled couplings. In: Proc. of 14th Int. Symp. on High Current Electronics. Tomsk, Russia; 2006. P. 427–430.
  15. Novikov SS, Usyukevich AA. On the conditions for the destruction of the coherent regime in generating systems with mutual couplings. Russian Physics Journal. 2009;52(11/2):283 (in Russian).
  16. Novikov SS, Usjukevitch AA. Chaotic oscillation in the auto-oscillator system with resonant couplings. In: Proc. of 16th Int. Symp. on High Current Electronics. Tomsk, Russia; 2010. P. 512–515.
Short text (in English):
(downloads: 69)