Chaotification of Impulsive Systems by Perturbations
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, cilt.24, sa.6, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 6
- Basım Tarihi: 2014
- Doi Numarası: 10.1142/s0218127414500783
- Dergi Adı: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Chaotic impulsive systems, Li-Yorke chaos, chaotic set of piecewise continuous functions, Duffing oscillator, discontinuous chaos control, LI-YORKE CHAOS, LORENZ SYSTEMS, COMPLEX DYNAMICS, SYNCHRONIZATION, NETWORKS, COMMUNICATION, STABILIZATION, STABILITY, FEEDBACK, SPACES
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Evet
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.