A1 Journal article (refereed)
Hidden Strange Nonchaotic Attractors (2021)


Danca, Marius-F., & Kuznetsov, N. (2021). Hidden Strange Nonchaotic Attractors. Mathematics, 9(6), Article 652. https://doi.org/10.3390/math9060652


JYU authors or editors


Publication details

All authors or editorsDanca, Marius-F.; Kuznetsov, Nikolay

Journal or seriesMathematics

eISSN2227-7390

Publication year2021

Publication date18/03/2021

Volume9

Issue number6

Article number652

PublisherMDPI AG

Publication countrySwitzerland

Publication languageEnglish

DOIhttps://doi.org/10.3390/math9060652

Publication open accessOpenly available

Publication channel open accessOpen Access channel

Publication is parallel published (JYX)https://jyx.jyu.fi/handle/123456789/74821


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, ‘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.


Keywordsdynamical systemschaos theoryattractorsfractals

Free keywordshidden chaotic attractor; self-excited attractor; strange nonchaotic attractor; Rabinovich–Fabrikant system


Contributing organizations


Ministry reportingYes

VIRTA submission year2021

JUFO rating0


Last updated on 2024-12-10 at 09:15