Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing.

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Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing. / Seleznev, E.P.; Stankevich, N.V.

In: Chaos, Solitons & Fractals, Vol. 134, 2020, p. 109716.

Research output: Contribution to journal › Article

BibTeX

@article{5bf7f0252f034d01ae4d3d2cb3dda090,

title = "Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing.",

abstract = "The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and frequency of the external force leads to the appearance of complex chaotic dynamics in the behavior of oscillator. A hierarchy of various periodic and chaotic oscillations is observed. The structure of the space of control parameters is studied. It is shown there are oscillatory modes similar to those of a non-autonomous oscillator with a potential in the form of a periodic function in the system dynamics, but there are also significant differences. Physical experiments of such systems are implemented.",

author = "E.P. Seleznev and N.V. Stankevich",

year = "2020",

language = "English",

volume = "134",

pages = "109716",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing.

AU - Seleznev, E.P.

AU - Stankevich, N.V.

PY - 2020

Y1 - 2020

N2 - The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and frequency of the external force leads to the appearance of complex chaotic dynamics in the behavior of oscillator. A hierarchy of various periodic and chaotic oscillations is observed. The structure of the space of control parameters is studied. It is shown there are oscillatory modes similar to those of a non-autonomous oscillator with a potential in the form of a periodic function in the system dynamics, but there are also significant differences. Physical experiments of such systems are implemented.

AB - The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and frequency of the external force leads to the appearance of complex chaotic dynamics in the behavior of oscillator. A hierarchy of various periodic and chaotic oscillations is observed. The structure of the space of control parameters is studied. It is shown there are oscillatory modes similar to those of a non-autonomous oscillator with a potential in the form of a periodic function in the system dynamics, but there are also significant differences. Physical experiments of such systems are implemented.

M3 - Article

VL - 134

SP - 109716

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

ER -

ID: 78567928