Replication of period-doubling route to chaos in impulsive systems
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, sa.58, ss.1-20, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2019
- Doi Numarası: 10.14232/ejqtde.2019.1.58
- Dergi Adı: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1-20
- Anahtar Kelimeler: impulsive systems, sensitivity, period-doubling cascade, unidirectional coupling, NEURAL-NETWORKS, STABILITY, CASCADES, SYNCHRONIZATION
- Gazi Üniversitesi Adresli: Evet
Özet
In this study, we investigate the dynamics of impulsive systems driven by a chaotic system. It is shown that the response impulsive system replicates the sensitivity and the period-doubling cascade of the drive. Illustrative examples that support the theoretical results are provided.