Akhmet Marat and Fečkan Michal and Fen Mehmet Onur and Kashkynbayev Ardak: Perturbed Li-Yorke homoclinic chaos. (2018)
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Abstract
It is rigorously proved that a Li–Yorke chaotic perturbation of a system with a homoclinic orbit creates chaos along each periodic trajectory. The structure of the chaos is investigated, and the existence of infinitely many almost periodic orbits out of the scrambled sets is revealed. Ott–Grebogi–Yorke and Pyragas control methods are utilized to stabilize almost periodic motions. A Duffing oscillator is considered to show the effectiveness of our technique, and simulations that support the theoretical results are depicted.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 75 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-18 |
| Uncontrolled Keywords: | Dinamikus rendszer, Káosz, Oszcillátor |
| Additional Information: | Bibliogr.: p. 16-18. ; Összefoglalás angol nyelven |
| Date Deposited: | 2018. Nov. 07. 12:26 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55745 |
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