Replication of period-doubling route to chaos in impulsive systems
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, vol.2019, no.58, pp.1-20, 2019 (SCI-Expanded, Scopus)
- 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.