Standard

Hidden strange nonchaotic attractors. / Danca, Marius F.; Kuznetsov, Nikolay.

в: Mathematics, Том 9, № 6, 652, 18.03.2021.

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

Harvard

Danca, MF & Kuznetsov, N 2021, 'Hidden strange nonchaotic attractors', Mathematics, Том. 9, № 6, 652. https://doi.org/10.3390/math9060652

APA

Danca, M. F., & Kuznetsov, N. (2021). Hidden strange nonchaotic attractors. Mathematics, 9(6), [652]. https://doi.org/10.3390/math9060652

Vancouver

Danca MF, Kuznetsov N. Hidden strange nonchaotic attractors. Mathematics. 2021 Март 18;9(6). 652. https://doi.org/10.3390/math9060652

Author

Danca, Marius F. ; Kuznetsov, Nikolay. / Hidden strange nonchaotic attractors. в: Mathematics. 2021 ; Том 9, № 6.

BibTeX

@article{daf0243e7cbe443fac718fbba1a3a032,
title = "Hidden strange nonchaotic attractors",
abstract = "In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors. For a range of the bifurcation parameter, the hidden attractor is manifestly fractal with aperiodic dynamics, and even the finite-time largest Lyapunov exponent, a measure of trajectory separation with nearby initial conditions, is negative. To verify these characteristics numerically, the finite-time Lyapunov exponents, {\textquoteright}0-1{\textquoteright} test, power spectra density, and recurrence plot are used. Beside the considered hidden strange nonchaotic attractor, a self-excited chaotic attractor and a quasiperiodic attractor of the Rabinovich–Fabrikant system are comparatively analyzed.",
keywords = "Hidden chaotic attractor, Rabinovich– Fabrikant system, Self-excited attractor, Strange nonchaotic attractor, Rabinovich&#8211, strange nonchaotic attractor, Fabrikant system, hidden chaotic attractor, self-excited attractor",
author = "Danca, {Marius F.} and Nikolay Kuznetsov",
note = "Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = mar,
day = "18",
doi = "10.3390/math9060652",
language = "English",
volume = "9",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "6",

}

RIS

TY - JOUR

T1 - Hidden strange nonchaotic attractors

AU - Danca, Marius F.

AU - Kuznetsov, Nikolay

N1 - Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/3/18

Y1 - 2021/3/18

N2 - In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors. For a range of the bifurcation parameter, the hidden attractor is manifestly fractal with aperiodic dynamics, and even the finite-time largest Lyapunov exponent, a measure of trajectory separation with nearby initial conditions, is negative. To verify these characteristics numerically, the finite-time Lyapunov exponents, ’0-1’ test, power spectra density, and recurrence plot are used. Beside the considered hidden strange nonchaotic attractor, a self-excited chaotic attractor and a quasiperiodic attractor of the Rabinovich–Fabrikant system are comparatively analyzed.

AB - In this paper, it is found numerically that the previously found hidden chaotic attractors of the Rabinovich–Fabrikant system actually present the characteristics of strange nonchaotic attractors. For a range of the bifurcation parameter, the hidden attractor is manifestly fractal with aperiodic dynamics, and even the finite-time largest Lyapunov exponent, a measure of trajectory separation with nearby initial conditions, is negative. To verify these characteristics numerically, the finite-time Lyapunov exponents, ’0-1’ test, power spectra density, and recurrence plot are used. Beside the considered hidden strange nonchaotic attractor, a self-excited chaotic attractor and a quasiperiodic attractor of the Rabinovich–Fabrikant system are comparatively analyzed.

KW - Hidden chaotic attractor

KW - Rabinovich– Fabrikant system

KW - Self-excited attractor

KW - Strange nonchaotic attractor

KW - Rabinovich&#8211

KW - strange nonchaotic attractor

KW - Fabrikant system

KW - hidden chaotic attractor

KW - self-excited attractor

UR - http://www.scopus.com/inward/record.url?scp=85103598622&partnerID=8YFLogxK

U2 - 10.3390/math9060652

DO - 10.3390/math9060652

M3 - Article

AN - SCOPUS:85103598622

VL - 9

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 6

M1 - 652

ER -

ID: 78768432