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

2004/05/11 by Won-Ho Kye, Kye, Won-Ho, Muhan Choi +7
Engineering · Physics and Astronomy · #Advanced Algorithms and Applications #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fault Detection and Control Systems #Iterative Learning Control Systems #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0405025

4 pages, 2 figures (submitted to Phys. Rev. E)

arxiv created 2004/05/11 · openalex publication_date 2004/05/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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