Research output: Contribution to journal › Article › peer-review
Hidden strange nonchaotic attractors. / Danca, Marius F.; Kuznetsov, Nikolay.
In: Mathematics, Vol. 9, No. 6, 652, 18.03.2021.Research output: Contribution to journal › Article › peer-review
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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–
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