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Map representation of the time-delayed system in the presence of Delay Time Modulation: an Application to the stability analysis

Won-Ho Kye·Muhan Choi·Tae-Yoon Kwon·Chil-Min Kim·Young-Jai Park
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Abstract

We introduce the map representation of a time-delayed system in the presence of delay time modulation. Based on this representation, we find the method by which to analyze the stability of that kind of a system. We apply this method to a coupled chaotic system and discuss the results in comparison to the system with a fixed delay time.

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Won-Ho Kye, Muhan Choi, Tae-Yoon Kwon, Chil-Min Kim, Young-Jai Park. 2004-05-11. Map representation of the time-delayed system in the presence of Delay Time Modulation: an Application to the stability analysis. https://arxiv.org/abs/nlin/0405025

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