Skip to main content
Log in

Spiral waves in active media

  • Published:
Radiophysics and Quantum Electronics Aims and scope

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. E. Scott, Waves in Active and Nonlinear Media as Applied to Electronics [Russian translation], Nauka, Moscow (1975).

    Google Scholar 

  2. V. A. Vasil'ev, Yu. M. Romanovskii, and V. G. Yakhno, Usp. Fiz. Nauk,12, 625 (1979).

    Google Scholar 

  3. G. Nikolis and I. Prigozhine, Self-Organization in Nonequilibrium Systems [Russian translation], Mir, Moscow (1979).

    Google Scholar 

  4. M. V. Vol'kenshtein, Biophysics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  5. Yu. I. Balkarei, M. G. Nikulin, and M. I. Elinson, in: Autowave Processes in Systems with Diffusion [in Russian], IPF Akad. Nauk SSSR, Gorkii, 117 (1981).

    Google Scholar 

  6. B. S. Kerner and V. V. Osipov, Mikroelektronika,10, 407 (1981).

    Google Scholar 

  7. Yu. I. Balkarei, M. G. Nikulin, and M. I. Elinson, in: Problems of Contemporary Radio-Engineering and Electronics [in Russian], Nauka, Moscow (1980), p. 431.

    Google Scholar 

  8. Yu. I. Balkarei and M. G. Nikulin, Fiz. Tekh. Poluprovodn.,10, 1455 (1976);12, 347 (1978).

    Google Scholar 

  9. Yu. I. Balkarei, A. A. Zakharova, and M. I. Elinson, Mikroelektronika,10, 260 (1981).

    Google Scholar 

  10. Yu. I. Balkarei and V. B. Sandomirskii, Fiz. Tekh. Poluprovodn.,13, 1006 (1979);14, 796 (1980).

    Google Scholar 

  11. Yu. V. Gulyaev, Yu. I. Balkarei, Yu. A. Rzhanov, L. L. Golik, and M. I. Elinson, Dokl. Akad. Nauk SSR,260, 82 (1981).

    Google Scholar 

  12. G. R. Ivanitsky, V. I. Krinsky, and A. M. Zhabotinsky, Sov. Sci. Rev.,2, D, 280 (1981).

    Google Scholar 

  13. K. I. Agladze and V. I. Krinsky, Nature,296, 424 (1982); Dokl. Akad. Nauk SSSR,263, 335 (1982).

    Google Scholar 

  14. N. Wiener and A. Rosenblueth, Arch. Inst. Cardiol. Mech.,16, 205 (1946); Cybernetic Handbook [Russian translation], No. 3, IL, Moscow (1961).

    Google Scholar 

  15. A. S. Mikhailov and I. V. Uporov, Dokl. Akad. Nauk SSSR,249, 733 (1979).

    Google Scholar 

  16. Ya. B. Zel'dovich and B. A. Malomed, Dokl. Akad. Nauk SSSR,254, 92 (1980).

    Google Scholar 

  17. V. I. Krinskii and A. M. Zhabotinskii, in: Autowave Processes in Systems with Diffusion [in Russian], IPF Akad. Nauk SSSR, Gorkii, 6 (1981).

    Google Scholar 

  18. V. S. Zykov, Biofizika,25, 888 (1980).

    Google Scholar 

  19. A. S. Mikhailov and V. I. Krinskii, Biofizika,27, 875 (1982).

    Google Scholar 

  20. B. Ya. Kogan, V. S. Zykov, and A. A. Petrov, “Computer simulation of stimulative media,” in: Simulation of Systems, IMACS Congress, Preprints, Sorrento, 693 (1979).

  21. A. M. Pertsov and A. V. Panfilov, in: Autowave Processes in Systems with Diffusion [in Russian], IPF Akad. Nauk SSSR, Gorkii, 77 (1981).

    Google Scholar 

  22. A. V. Nedospasov and V. D. Khaint, Oscillations and Instability of Low-Temperature Plasma [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  23. B. S. Kerner and V. V. Osipov, Zh. Eksp. Teor. Fiz.,74, 1675 (1978);79, 2218 (1980).

    Google Scholar 

  24. V. F. Pastushenko, V. S. Markin, and Yu. A. Chizmadzhev, “Fundamentals of theory of excitable media,” in: Science and Technology Digest [in Russian], No. 2, VINITI, Moscow (1977), p. 106.

    Google Scholar 

  25. K. Maginu, J. Math. Biol.,6, 49 (1978);10, 133 (1980).

    Google Scholar 

  26. Yu. A. Kuznetsov, Preprint NIVTs AN SSSR, Pushchino (1982).

  27. S. M. Greenberg, SIAM J. Appl. Math.,30, 199 (1976).

    Google Scholar 

  28. J. Rinzel and J. B. Keller, Biophys. J.,13, 1313 (1973).

    Google Scholar 

  29. A. S. Mikhailov and B. I. Krinskii, Physika,9D, 346 (1983).

    Google Scholar 

  30. P. S. Hagan, SIAM J. Appl. Math.,42, 762 (1982).

    Google Scholar 

Download references

Authors

Additional information

Institute of Biological Physics, Academy of Sciences of the USSR. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 27, No. 9, pp. 1116–1129, September, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krinskii, V.I., Mikhailov, A.S., Panfilov, A.V. et al. Spiral waves in active media. Radiophys Quantum Electron 27, 783–793 (1984). https://doi.org/10.1007/BF01041387

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01041387

Keywords

Navigation