Abstract
Transient processes in a third-order radiophysical flow system are studied and a map of the transient process duration versus initial conditions is constructed and analyzed. The results are compared to the arrangement of submanifolds of the stable and unstable cycles in the Poincaré section of the system studied.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. M. Janosi and T. Tel, Phys. Rev. E 49, 2756 (1994).
Liqiang Zhu, Arving Raghu, and Ying-Cheng Lai, Phys. Rev. Lett. 86, 4017 (2001).
C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 50, 935 (1983).
A. A. Koronovskii, D. I. Trubetskov, A. E. Hramov, and A. E. Khramova, Dokl. Akad. Nauk 383, 322 (2002) [Dokl. Phys. 47, 181 (2002)].
A. A. Koronovskii, A. V. Starodubov, and A. E. Hramov, Izv. Vyssh. Uchebn. Zaved. Prikl. Neline\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \)naya Din. 10(5), 25 (2002).
A. A. Koronovskii, A. V. Starodubov, and A. E. Hramov, Pis’ma Zh. Tekh. Fiz. 29(8), 32 (2003) [Tech. Phys. Lett. 29, 323 (2003)].
T. Matsumoto, L. O. Chua, and R. Tokunaga, IEEE Trans. Circuits Syst. 34, 240 (1987).
A. A. Kipchatov and A. A. Koronovskii, Izv. Vyssh. Uchebn. Zaved. Prikl. Neline\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \)naya Din. 5(2–3), 17 (1997).
A. V. Andrushkevich et al., Izv. Vyssh. Uchebn. Zaved. Radiofiz. 38, 1195 (1995).
E. N. Egorov and A. A. Koronovskii, Izv. Vyssh. Uchebn. Zaved. Prikl. Neline\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \)naya Din. 10(1–2), 104 (2002).
V. S. Anishchenko, in World Scientific Series on Nonlinear Science (World Scientific, Singapore, 1995), Ser. A, Vol. 8.
Yu. I. Neimark, Method of Point Mapping in the Theory of Nonlinear Oscillations (Nauka, Moscow, 1972).
N. V. Efimov, Quadratic Forms and Matrixes (Fizmatgiz, Moscow, 1963), pp. 126–130 [in Russian].
E. J. Kostelich, J. A. Yorke, and Z. You, Physica D 93, 210 (1996).
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 30, No. 15, 2004, pp. 62–68.
Original Russian Text Copyright © 2004 by Egorov, Koronovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Hramov.
Rights and permissions
About this article
Cite this article
Egorov, E.N., Koronovskii, A.A. & Hramov, A.E. Analysis of transient processes in a radiophysical flow system. Tech. Phys. Lett. 30, 647–649 (2004). https://doi.org/10.1134/1.1792301
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1792301