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arXiv · 2102.03938

Replication of Period-Doubling Route to Chaos in Coupled Systems with Delay

Mehmet Onur Fen·Fatma Tokmak Fen
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Abstract

In this study, replication of a period-doubling cascade in coupled systems with delay is rigorously proved under certain assumptions, which guarantee the existence of bounded solutions and replication of sensitivity. A novel definition for replication of sensitivity is utilized, in which the proximity of solutions is considered in an interval instead of a single point. Examples with simulations supporting the theoretical results concerning sensitivity and period-doubling cascade are provided.

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Mehmet Onur Fen, Fatma Tokmak Fen. 2021-02-07. Replication of Period-Doubling Route to Chaos in Coupled Systems with Delay. https://arxiv.org/abs/2102.03938

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