Chaos and hyperchaos arising from the destruction of multifrequency tori

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Chaos and hyperchaos arising from the destruction of multifrequency tori. / Stankevich, N. V.; Kuznetsov, A. P.; Seleznev, E. P.

In: Chaos, Solitons and Fractals, Vol. 147, 110998, 01.06.2021.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{3fa504b1f8a346f1be517c49b18ca12b,

title = "Chaos and hyperchaos arising from the destruction of multifrequency tori",

abstract = "Appearance of chaotic dynamics as a result of multi-frequency tori destruction is carried out on the example of a model of a multimode generator. Quasiperiodic bifurcations occurring with multi-frequency tori are discussed in the context of the Landau-Hopf scenario. Structure of the parameter space is studied, areas with various chaotic dynamics, including chaos and hyperchaos, are revealed. Scenarios of the development of chaotic dynamics are described, the features of chaotic signals of various types are revealed.",

keywords = "Chaos, Hyperchaos, Lyapunov exponents, Multi-contour generator, Quasiperiodic oscillations, ATTRACTORS, QUASI-PERIODIC BIFURCATIONS, OSCILLATIONS",

author = "Stankevich, {N. V.} and Kuznetsov, {A. P.} and Seleznev, {E. P.}",

note = "Publisher Copyright: {\textcopyright} 2021",

year = "2021",

month = jun,

day = "1",

doi = "10.1016/j.chaos.2021.110998",

language = "English",

volume = "147",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Chaos and hyperchaos arising from the destruction of multifrequency tori

AU - Stankevich, N. V.

AU - Kuznetsov, A. P.

AU - Seleznev, E. P.

PY - 2021/6/1

Y1 - 2021/6/1

N2 - Appearance of chaotic dynamics as a result of multi-frequency tori destruction is carried out on the example of a model of a multimode generator. Quasiperiodic bifurcations occurring with multi-frequency tori are discussed in the context of the Landau-Hopf scenario. Structure of the parameter space is studied, areas with various chaotic dynamics, including chaos and hyperchaos, are revealed. Scenarios of the development of chaotic dynamics are described, the features of chaotic signals of various types are revealed.

AB - Appearance of chaotic dynamics as a result of multi-frequency tori destruction is carried out on the example of a model of a multimode generator. Quasiperiodic bifurcations occurring with multi-frequency tori are discussed in the context of the Landau-Hopf scenario. Structure of the parameter space is studied, areas with various chaotic dynamics, including chaos and hyperchaos, are revealed. Scenarios of the development of chaotic dynamics are described, the features of chaotic signals of various types are revealed.

KW - Chaos

KW - Hyperchaos

KW - Lyapunov exponents

KW - Multi-contour generator

KW - Quasiperiodic oscillations

KW - ATTRACTORS

KW - QUASI-PERIODIC BIFURCATIONS

KW - OSCILLATIONS

UR - http://www.scopus.com/inward/record.url?scp=85105550556&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/ccedd0e1-2f14-3cf9-ac22-4b1935e9ef31/

U2 - 10.1016/j.chaos.2021.110998

DO - 10.1016/j.chaos.2021.110998

M3 - Article

AN - SCOPUS:85105550556

VL - 147

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

M1 - 110998

ER -

ID: 86482710