Abstract
A mathematical model of a controlled chaotic system is studied that is based on a differential-difference equation widely used in various fields of science and technology. Numerical methods are applied to study the feasibility of controlling the oscillations of a delayed system using a filter inserted into a feedback circuit that converts chaotic oscillations into quasi-harmonic ones, and the asymmetric amplitude characteristic typical of real systems is used. The transition to chaos is considered under the conditions when the filter resonance frequency falls into the interval between the eigenfrequencies of the system. Relevant experimental data are presented.
This is a preview of subscription content, log in via an institution to check access.
References
V. L. Ginzburg, Usp. Fiz. Nauk 177, 346 (2007) [Phys. Usp. 50, 332 (2007)].
I. I. Mokhov, A. E. Eliseev, and D. V. Khvorost’yanov, Izv. Akad. Nauk, Fiz. Atmos. Okeana 36, 741 (2000).
N. A. Magnitskii and S. V. Sidorov, New Methods for Chaotic Dynamics (Editorial URSS, Moscow, 2004; World Sci., Singapore, 2006), p. 250.
N. A. Magnitskii, Din. Slozhn. Sist. 1, 18 (2007).
V. I. Ponomarenko and M. D. Prokhorov, Pis’ma Zh. Tekh. Fiz. 28(16), 37 (2002) [Tech. Phys. Lett. 28, 680 (2002)].
V. I. Ponomarenko and M. D. Prokhorov, Pis’ma Zh. Tekh. Fiz. 31(6), 73 (2005) [Tech. Phys. Lett. 31, 252 (2005)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.V. Kal’yanov, V.I. Kalinin, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 12, pp. 114–117.
Rights and permissions
About this article
Cite this article
Kal’yanov, E.V., Kalinin, V.I. Oscillation control of a multimode chaotic system with an asymmetric characteristic. Tech. Phys. 54, 1837–1840 (2009). https://doi.org/10.1134/S1063784209120226
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784209120226