Chaotification of Impulsive Systems by Perturbations


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AKHMET M. , Fen M. O.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.24, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1142/s0218127414500783
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Özet

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.