Replication of period-doubling route to chaos in impulsive systems

Fen M. O., Fen F. T.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, cilt.2019, sa.58, ss.1-20, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2019 Sayı: 58
  • 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
  • TED 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.