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arXiv · 1806.09864

Period-doubling route to chaos in driven impulsive systems

Mehmet Onur Fen·Fatma Tokmak Fen
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Abstract

In the present study, we investigate the dynamics of impulsive differential equations driven by a chaotic system. We rigorously prove that, likewise the drive, the response impulsive system is also chaotic. Our results are based on the presence of sensitivity and infinitely many unstable periodic motions. The theoretical results are supported by simulations.

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Mehmet Onur Fen, Fatma Tokmak Fen. 2018-06-26. Period-doubling route to chaos in driven impulsive systems. https://arxiv.org/abs/1806.09864

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