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Hidden Strange Nonchaotic Attractors
| Content Provider | MDPI |
|---|---|
| Author | Danca, Marius-F. Kuznetsov, Nikolay |
| Copyright Year | 2021 |
| Description | 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. |
| Starting Page | 652 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math9060652 |
| Journal | Mathematics |
| Issue Number | 6 |
| Volume Number | 9 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2021-03-18 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Hardware and Architecturee Hidden Chaotic Attractor Self-excited Attractor Strange Nonchaotic Attractor Rabinovich–fabrikant System |
| Content Type | Text |
| Resource Type | Article |
