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

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

2004-05-11

arxiv.org/abs/nlin/0405025v1

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

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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