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REVIEW ARTICLES

Destruction of Quasiperiodic Oscillations in Weakly Nonlinear Systems

[+] Author and Article Information
Andrey B. Belogortsev

Department of Physics and Astronomy, University of Maine, Orono ME 04469

Dmitry M. Vavriv

Radio Astronomy Institute, Academy of Science of Ukraine, Kharkov 310002, Ukraine

Oleg A. Tretyakov

Department of Radio Physics, Kharkov State University, Kharkov 310077, Ukraine

Appl. Mech. Rev 46(7), 372-384 (Jul 01, 1993) (13 pages) doi:10.1115/1.3120366 History: Online April 29, 2009

Abstract

We consider the main regularities of the arising of the dynamical chaos in weakly nonlinear oscillatory systems. We show that the chaotic oscillations in such systems can occur due to the destruction of quasiperiodic oscillations. Various analytical approaches are applied to study the properties of the quasiperiodically forced passive and active single-mode oscillators as well as the conditions for the appearance of chaos. The results of numerical and experimental investigations are also discussed.

Copyright © 1993 by American Society of Mechanical Engineers
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