Standard

Approximating hidden chaotic attractors via parameter switching. / Danca, Marius F.; Kuznetsov, Nikolay V.; Chen, Guanrong.

в: Chaos, Том 28, № 1, 013127, 01.01.2018.

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

Harvard

Danca, MF, Kuznetsov, NV & Chen, G 2018, 'Approximating hidden chaotic attractors via parameter switching', Chaos, Том. 28, № 1, 013127. https://doi.org/10.1063/1.5007925

APA

Danca, M. F., Kuznetsov, N. V., & Chen, G. (2018). Approximating hidden chaotic attractors via parameter switching. Chaos, 28(1), [013127]. https://doi.org/10.1063/1.5007925

Vancouver

Danca MF, Kuznetsov NV, Chen G. Approximating hidden chaotic attractors via parameter switching. Chaos. 2018 Янв. 1;28(1). 013127. https://doi.org/10.1063/1.5007925

Author

Danca, Marius F. ; Kuznetsov, Nikolay V. ; Chen, Guanrong. / Approximating hidden chaotic attractors via parameter switching. в: Chaos. 2018 ; Том 28, № 1.

BibTeX

@article{435bc3bb159348e4a11bb51edca3cb7d,
title = "Approximating hidden chaotic attractors via parameter switching",
abstract = "In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The parameter switching (PS) algorithm is utilized, which switches the control parameter within a given set of values with the initial value problem numerically solved. The PS-generated attractor approximates the attractor obtained by averaging the control parameter with the switched values, which represents the hidden chaotic attractor. The hidden chaotic attractors of a generalized Lorenz system and the Rabinovich-Fabrikant system are simulated for illustration.",
keywords = "CONVECTIVE FLUID MOTION, ALTERNATED JULIA SETS, SYSTEM, DYNAMICS",
author = "Danca, {Marius F.} and Kuznetsov, {Nikolay V.} and Guanrong Chen",
year = "2018",
month = jan,
day = "1",
doi = "10.1063/1.5007925",
language = "English",
volume = "28",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "1",

}

RIS

TY - JOUR

T1 - Approximating hidden chaotic attractors via parameter switching

AU - Danca, Marius F.

AU - Kuznetsov, Nikolay V.

AU - Chen, Guanrong

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The parameter switching (PS) algorithm is utilized, which switches the control parameter within a given set of values with the initial value problem numerically solved. The PS-generated attractor approximates the attractor obtained by averaging the control parameter with the switched values, which represents the hidden chaotic attractor. The hidden chaotic attractors of a generalized Lorenz system and the Rabinovich-Fabrikant system are simulated for illustration.

AB - In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The parameter switching (PS) algorithm is utilized, which switches the control parameter within a given set of values with the initial value problem numerically solved. The PS-generated attractor approximates the attractor obtained by averaging the control parameter with the switched values, which represents the hidden chaotic attractor. The hidden chaotic attractors of a generalized Lorenz system and the Rabinovich-Fabrikant system are simulated for illustration.

KW - CONVECTIVE FLUID MOTION

KW - ALTERNATED JULIA SETS

KW - SYSTEM

KW - DYNAMICS

UR - http://www.scopus.com/inward/record.url?scp=85041708697&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/approximating-hidden-chaotic-attractors-via-parameter-switching

U2 - 10.1063/1.5007925

DO - 10.1063/1.5007925

M3 - Article

AN - SCOPUS:85041708697

VL - 28

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 1

M1 - 013127

ER -

ID: 35274736