Abstract
Autowave dynamics in a two-dimensional lattice of excitable elements of the FitzHugh-Nagumo type containing topological defects has been studied. It is shown that the core of a spiral wave can drift along a path composed of such defects. The possibility of controlling the motion of spiral waves in excitable and oscillating media is considered.
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References
A. Yu. Loskutov and A. S. Mikhailov, Foundations of Synergetics (Nauka, Moscow, 1990; Springer, Berlin, 1991).
D. I. Trubetskov, E. S. Mchedlova, and L. V. Krasichkov, Introduction to Theory of Self-Organization of Open Systems (Fizmatlit, Moscow, 2002) [in Russian].
J. C. Prechtl, L. B. Cohen, B. Pesaran, et al., Proc. Natl. Acad. Sci. USA 94, 7621 (1997).
V. Krinsky, F. Plaza, and V. Voignler, Phys. Rev. E 52, 2458 (1995).
D. Barkley, M. Kness, and L. Tuckerman, Phys. Rev. A 42, 2489 (1990).
K. V. Andreev and L. V. Krasichkov, Izv. Ross. Akad. Nauk, Ser. Fiz. 66, 1777 (2002).
K. V. Andreev and L. V. Krasichkov, Izv. Ross. Akad. Nauk, Ser. Fiz. 67, 1701 (2003).
K. V. Andreev and L. V. Krasichkov, Pis’ma Zh. Tekh. Fiz. 29(3), 46 (2003) [Tech. Phys. Lett. 29, 105 (2003)].
R. FitzHugh, Biophys. J. 1, 445 (1961).
J. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE 50, 2061 (1962).
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 31, No. 13, 2005, pp. 18–23.
Original Russian Text Copyright © 2005 by Andreev, Krasichkov.
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Andreev, K.V., Krasichkov, L.V. On the possibility of controlling the motion of spiral waves in a two-dimensional lattice of excitable elements with the aid of topological defects. Tech. Phys. Lett. 31, 545–547 (2005). https://doi.org/10.1134/1.2001049
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DOI: https://doi.org/10.1134/1.2001049