Replication of period-doubling route to chaos in impulsive systems

Fen M. O., Fen F. T.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, vol.2019, no.58, pp.1-20, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2019 Issue: 58
  • Publication Date: 2019
  • Doi Number: 10.14232/ejqtde.2019.1.58
  • Journal Name: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-20
  • Keywords: impulsive systems, sensitivity, period-doubling cascade, unidirectional coupling, NEURAL-NETWORKS, STABILITY, CASCADES, SYNCHRONIZATION
  • TED University Affiliated: Yes

Abstract

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.