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Co-existing hidden attractors in a radio-physical oscillator system. / Kuznetsov, A. P.; Kuznetsov, S. P.; Mosekilde, E.; Stankevich, N. V.

в: Journal of Physics A: Mathematical and Theoretical, Том 48, № 12, 125101, 27.03.2015.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kuznetsov, AP, Kuznetsov, SP, Mosekilde, E & Stankevich, NV 2015, 'Co-existing hidden attractors in a radio-physical oscillator system', Journal of Physics A: Mathematical and Theoretical, Том. 48, № 12, 125101. https://doi.org/10.1088/1751-8113/48/12/125101

APA

Kuznetsov, A. P., Kuznetsov, S. P., Mosekilde, E., & Stankevich, N. V. (2015). Co-existing hidden attractors in a radio-physical oscillator system. Journal of Physics A: Mathematical and Theoretical, 48(12), [125101]. https://doi.org/10.1088/1751-8113/48/12/125101

Vancouver

Kuznetsov AP, Kuznetsov SP, Mosekilde E, Stankevich NV. Co-existing hidden attractors in a radio-physical oscillator system. Journal of Physics A: Mathematical and Theoretical. 2015 Март 27;48(12). 125101. https://doi.org/10.1088/1751-8113/48/12/125101

Author

Kuznetsov, A. P. ; Kuznetsov, S. P. ; Mosekilde, E. ; Stankevich, N. V. / Co-existing hidden attractors in a radio-physical oscillator system. в: Journal of Physics A: Mathematical and Theoretical. 2015 ; Том 48, № 12.

BibTeX

@article{ac4546512975482181b95bacd5e67026,
title = "Co-existing hidden attractors in a radio-physical oscillator system",
abstract = "The term 'hidden attractor' relates to a stable periodic, quasiperiodic or chaotic state whose basin of attraction does not overlap with the neighborhood of an unstable equilibrium point. Considering a three-dimensional oscillator system that does not allow for the existence of an equilibrium point, this paper describes the formation of several different coexisting sets of hidden attractors, including the simultaneous presence of a pair of coinciding quasiperiodic attractors and of two mutually symmetric chaotic attractors. We follow the dynamics of the system as a function of the basic oscillator frequency, describe the bifurcations through which hidden attractors of different type arise and disappear, and illustrate the form of the basins of attraction.",
keywords = "absence of an equilibrium state, coexisting chaotic states, hidden attractors, radio-physical oscillator",
author = "Kuznetsov, {A. P.} and Kuznetsov, {S. P.} and E. Mosekilde and Stankevich, {N. V.}",
note = "Publisher Copyright: {\textcopyright} 2015 IOP Publishing Ltd.",
year = "2015",
month = mar,
day = "27",
doi = "10.1088/1751-8113/48/12/125101",
language = "English",
volume = "48",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "12",

}

RIS

TY - JOUR

T1 - Co-existing hidden attractors in a radio-physical oscillator system

AU - Kuznetsov, A. P.

AU - Kuznetsov, S. P.

AU - Mosekilde, E.

AU - Stankevich, N. V.

N1 - Publisher Copyright: © 2015 IOP Publishing Ltd.

PY - 2015/3/27

Y1 - 2015/3/27

N2 - The term 'hidden attractor' relates to a stable periodic, quasiperiodic or chaotic state whose basin of attraction does not overlap with the neighborhood of an unstable equilibrium point. Considering a three-dimensional oscillator system that does not allow for the existence of an equilibrium point, this paper describes the formation of several different coexisting sets of hidden attractors, including the simultaneous presence of a pair of coinciding quasiperiodic attractors and of two mutually symmetric chaotic attractors. We follow the dynamics of the system as a function of the basic oscillator frequency, describe the bifurcations through which hidden attractors of different type arise and disappear, and illustrate the form of the basins of attraction.

AB - The term 'hidden attractor' relates to a stable periodic, quasiperiodic or chaotic state whose basin of attraction does not overlap with the neighborhood of an unstable equilibrium point. Considering a three-dimensional oscillator system that does not allow for the existence of an equilibrium point, this paper describes the formation of several different coexisting sets of hidden attractors, including the simultaneous presence of a pair of coinciding quasiperiodic attractors and of two mutually symmetric chaotic attractors. We follow the dynamics of the system as a function of the basic oscillator frequency, describe the bifurcations through which hidden attractors of different type arise and disappear, and illustrate the form of the basins of attraction.

KW - absence of an equilibrium state

KW - coexisting chaotic states

KW - hidden attractors

KW - radio-physical oscillator

UR - http://www.scopus.com/inward/record.url?scp=84924362488&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/48/12/125101

DO - 10.1088/1751-8113/48/12/125101

M3 - Article

AN - SCOPUS:84924362488

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 12

M1 - 125101

ER -

ID: 86486028