Complex Dynamics of a Non-Autonomous Oscillator with a Controlled Phase of an External Force

The dynamics of a non-autonomous oscillator in which the phase of external force linearly depends on a dynamic variable has been investigated. This control of the external-drive phase leads to the formation of a hierarchy of various periodic and chaotic oscillations. The structure of the space of co...

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Bibliographic Details
Published in:Technical physics letters 2019-01, Vol.45 (1), p.57-60
Main Authors: Seleznev, E. P., Stankevich, N. V.
Format: Article
Language:English
Subjects:
CHAOS THEORY
Classical and Continuum Physics
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONTROL
KINETICS
OSCILLATIONS
OSCILLATORS
Periodic functions
PERIODICITY
Physics
Physics and Astronomy
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Summary:The dynamics of a non-autonomous oscillator in which the phase of external force linearly depends on a dynamic variable has been investigated. This control of the external-drive phase leads to the formation of a hierarchy of various periodic and chaotic oscillations. The structure of the space of control parameters has been studied. It is established that dynamics of the system exhibits oscillatory regimes analogous to those of a non-autonomous oscillator with potential in the form of a periodic function.
ISSN:1063-7850
1090-6533
DOI:10.1134/S1063785019010334