Perturbed Li-Yorke homoclinic chaos

Akhmet, Marat and Fečkan, Michal and Fen, Mehmet Onur and Kashkynbayev, Ardak: Perturbed Li-Yorke homoclinic chaos. Electronic journal of qualitative theory of differential equations 75. pp. 1-18. (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: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 75
Page Range: pp. 1-18
ISSN: 1417-3875
Uncontrolled Keywords: Dinamikus rendszer, Káosz, Oszcillátor
Additional Information: Bibliogr.: p. 16-18. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 07. 12:26
Last Modified: 2018. Nov. 07. 12:26
URI: http://acta.bibl.u-szeged.hu/id/eprint/55745

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