Abstract
The nonlinear dynamics of an electron beam with a virtual cathode in a transit-current vircator system is numerically studied. The existence of complex modes, including chaotic ones, is shown. The physical processes in the electron beam are examined. It is found that the chaotic dynamics in an electron beam with a virtual cathode is due to the nonlinear interaction between the structures organized in it.
Similar content being viewed by others
References
High-Power Microwave Sources (V. L. Granatstein and I. Alexeff, eds.), Artech House, Boston (1987), chs. 14 and 15.
V. L. Selemir, B. V. Alekhin, V. E. Vatrunin, et al.,Fiz. Plazmy,20, Nos 7 and 8, 689 (1994).
A. M. Afonin, A. M. Didenko, A. F. Pautkin, and A. S. Roshal'Radiotekh. Élektron.,37, No. 10 1889 (1992).
A. P. Privezentsev, N. I. Sablin, and G. P. Fomenko,Radiotekh. Élektron.,35, No. 64, 832 (1990).
J. Pierce,J. Appl. Phys.,15, 721 (1944).
V. G. Anfinogentov, in: Proc. 3rd Int. Special Workshop on Nonlinear Dynamics of Electronic Systems, University College Press, Dublin (1995), p. 79.
V. G. Anfinogentov,Izv. Vyssh. Uchebn. Zaved., Radiofiz.,38, Nos. 3–4, 268 (1995).
L. S. Bogdankevich, M. B. Kuzelev, and A. A. Rukhadze,Usp. Fiz. Nauk,133, Nos. 1 and 2, 3 (1983).
A. G. Sveshnikov and S. A. Yakunin,Matem. Model.,1, No. 4, 1 (1989).
A. E. Khramov, in: Proc. 7th High-School Conf. on Mathematical Modelling and Boundary-Value Problems [in Russian], Samara (1997), v. 2, p. 94.
F. Takens,Lect. Notes in Math., Vol. 898, Springer-Verlag, Warwick (1980), p. 366.
P. Grassberger and J. Procaccia,Physica D.,19, Nos. 1 and 2, 189 (1983).
P. Berge, Y. Pomeau, and C. Vidal,Order in Chaos [in French], Paris (1988).
S. Watanabe, in:Automatic Analysis of Complex Images (E. M. Braverman, ed.) [Russian translation], Mir, Moscow (1969), p. 254.
J. L. Lumley, in: Proc. Int. Coll. on Atmospheric Turbulence and Radio Wave Propagation (A. M. Yaglom and V. I. Tatarsky, eds.), Nauka, Moscow (1967), p. 166.
V. G. Anfinogentov,Pis'ma Zh. Tekh. Fiz.,21, No. 8, 70 (1995).
V. G. Anfinogentov, in: Proc. 11th Int. Conf. on High-Power Particle Beams, Prague (1996), p. 1.
A. E. Khramov, in: Proc. 5th Int. Special Workshop on Nonlinear Dynamics of Electronic Systems, Moscow (1997), p. 443.
W. Jiang, K. Masugata, and K. Yatsui,Phys. Plasmas,2, No. 12, 4635 (1995).
N. N. Gadetsky, I. I. Magda, S. I. Naisteter, et al.,Fiz. Plazmy,19, No. 4, 530 (1993).
V. G. Anfinogentov and A. E. Khramov, in: Proc. 6th All-Union Workshop on Physics and Use of Microwaves [in Russian], Krasnovidovo, Moscow region (1997), p. 7.
V. G. Anfinogentov and A. E. Khramov, in: Proc. All-Union Higher-School Conf. on Modern Problems in Microwave Electronics and Radiophysics [in Russian], Saratov (1997), p. 6.
Additional information
“College,” State Education and Scientific Center of the State University, Saratov, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 41, No. 9, pp. 1137–1146, September, 1998.
Rights and permissions
About this article
Cite this article
Anfinogentov, V.G., Khramov, A.E. On the mechanism of occurrence of chaotic dynamics in a vacuum microwave generator with a virtual cathode. Radiophys Quantum Electron 41, 764–770 (1998). https://doi.org/10.1007/BF02677631
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02677631