Chaos and hyperchaos via secondary Neimark–Sacker bifurcation in a model of radiophysical generator

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Chaos and hyperchaos via secondary Neimark–Sacker bifurcation in a model of radiophysical generator. / Stankevich, Nataliya ; Kuznetsov, Alexander; Popova, Elena; Seleznev, Evgeniy.

в: Nonlinear Dynamics, Том 97, № 4, 01.09.2019, стр. 2355-2370.

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

BibTeX

@article{5deb018e34d740f292b1074910ff9863,

title = "Chaos and hyperchaos via secondary Neimark–Sacker bifurcation in a model of radiophysical generator",

abstract = "Using an example of a radiophysical generator model, scenarios for the formation of various chaotic attractors are described, including chaos and hyperchaos. It is shown that as a result of a secondary Neimark–Sacker bifurcation, a hyperchaos with two positive Lyapunov exponents can occur in the system. A comparative analysis of chaotic attractors born as a result of loss of smoothness of an invariant curve, as a result of period-doubling bifurcations, and as a result of secondary Neimark–Sacker bifurcation was carried out.",

keywords = "Hyperchaos, Lyapunov exponents, Multistability, Quasiperiodic oscillations, Secondary Neimark–Sacker bifurcation",

author = "Nataliya Stankevich and Alexander Kuznetsov and Elena Popova and Evgeniy Seleznev",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature B.V.",

year = "2019",

month = sep,

day = "1",

doi = "10.1007/s11071-019-05132-0",

language = "English",

volume = "97",

pages = "2355--2370",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Chaos and hyperchaos via secondary Neimark–Sacker bifurcation in a model of radiophysical generator

AU - Stankevich, Nataliya

AU - Kuznetsov, Alexander

AU - Popova, Elena

AU - Seleznev, Evgeniy

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Using an example of a radiophysical generator model, scenarios for the formation of various chaotic attractors are described, including chaos and hyperchaos. It is shown that as a result of a secondary Neimark–Sacker bifurcation, a hyperchaos with two positive Lyapunov exponents can occur in the system. A comparative analysis of chaotic attractors born as a result of loss of smoothness of an invariant curve, as a result of period-doubling bifurcations, and as a result of secondary Neimark–Sacker bifurcation was carried out.

AB - Using an example of a radiophysical generator model, scenarios for the formation of various chaotic attractors are described, including chaos and hyperchaos. It is shown that as a result of a secondary Neimark–Sacker bifurcation, a hyperchaos with two positive Lyapunov exponents can occur in the system. A comparative analysis of chaotic attractors born as a result of loss of smoothness of an invariant curve, as a result of period-doubling bifurcations, and as a result of secondary Neimark–Sacker bifurcation was carried out.

KW - Hyperchaos

KW - Lyapunov exponents

KW - Multistability

KW - Quasiperiodic oscillations

KW - Secondary Neimark–Sacker bifurcation

UR - http://www.scopus.com/inward/record.url?scp=85069676961&partnerID=8YFLogxK

U2 - 10.1007/s11071-019-05132-0

DO - 10.1007/s11071-019-05132-0

M3 - Article

AN - SCOPUS:85069676961

VL - 97

SP - 2355

EP - 2370

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

IS - 4

ER -

ID: 86484523