Abstract
We have studied the dynamic regimes of an autonomous chaotic system (a modified oscillator with inertial nonlinearity) and found a chaotic attractor of a new type. The autocorrelation function, power spectrum, and Lyapunov exponents of this attractor have been calculated. Some of these characteristics resemble the behavior of a strange nonchaotic attractor.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. N. Belykh, in Proceedings of the International Conference on Differential Equations and Dynamical Systems, Suzdal, 2000, pp. 13–15.
R. V. Plykin, Usp. Mat. Nauk 35(3), 94 (1980).
V. S. Anishchenko, Stochastic Oscillations in Radiophysical Systems (Saratov. Gos. Univ., Saratov, 1986).
V. S. Anishchenko, Complex Oscillations in Simple Systems (Nauka, Moscow, 2000).
C. Grebogi, E. Ott, S. Pelikan, and J. A. Yorke, Physica D 13, 261 (1984).
A. S. Pikovsky and U. Feudel, J. Phys. A 27, 5209 (1994).
V. S. Anishchenko, T. E. Vadivasova, and O. Sosnovtseva, Phys. Rev. E 54, 3231 (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. 29, No. 13, 2003, pp. 50–56.
Original Russian Text Copyright © 2003 by Anishchenko, Loginova.
Rights and permissions
About this article
Cite this article
Anishchenko, V.S., Loginova, M.V. A new type of attractor in autonomous systems. Tech. Phys. Lett. 29, 550–553 (2003). https://doi.org/10.1134/1.1598546
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1598546