Chaotification of Impulsive Systems by Perturbations

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2014-06-01
Fen, Mehmet Onur
Akhmet, Marat
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In this paper, we present a new method for chaos generation in nonautonomous impulsive systems. We prove the presence of chaos in the sense of Li-Yorke by implementing chaotic perturbations. An impulsive Duffing oscillator is used to show the effectiveness of our technique, and simulations that support the theoretical results are depicted. Moreover, a procedure to stabilize the unstable periodic solutions is proposed.
Chaotic impulsive systems, Li–Yorke chaos, Chaotic set of piecewise continuous functions, Duffing oscillator, Discontinuous chaos control
https://hdl.handle.net/11511/46482
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Department of Mathematics, Article

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Citation Formats
M. O. Fen and M. Akhmet, “Chaotification of Impulsive Systems by Perturbations,” INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46482.
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