Replication of Period-Doubling Route to Chaos in Coupled Systems with Delay
FILOMAT, cilt.36, sa.2, ss.599-613, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 36 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.2298/fil2202599f
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.599-613
- Anahtar Kelimeler: replication of chaos, period-doubling cascade, sensitivity, systems with delay, unidirectional coupling, DIFFERENTIAL-EQUATIONS, SYNCHRONIZATION, DYNAMICS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
In this study, replication of a period-doubling cascade in coupled systems with delay is rigorously proved under certain assumptions, which guarantee the existence of bounded solutions and replication of sensitivity. A novel definition for replication of sensitivity is utilized, in which the proximity of solutions is considered in an interval instead of a single point. Examples with simulations supporting the theoretical results concerning sensitivity and period-doubling cascade are provided.