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Replication of period-doubling route to chaos in impulsive systems

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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… Click to show full 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: replication period; doubling route; impulsive systems; period doubling; route chaos

Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2019

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