Replication of period-doubling route to chaos in impulsive systems

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.

Keywords

• impulsive systems
• sensitivity
• period-doubling cascade
• unidirectional coupling