Abstract
To those who have ever dealt with delay equations, the instabilities and oscillatory behavior caused by delays are all too well known. What perhaps not so familiar is that the delays could also have the opposite effect, namely that they could suppress oscillations and stabilize equilibria which would be unstable in the absence of delays. Research in this area is relatively sparse, as stabilization is not a typical or generic effect of time delays and one usually has to hit small regions in parameter spaces to observe it, which of course differ from system to system. The source of delays can also vary; ranging from feedback delays in control systems to communication delays in networks.
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Atay, F.M. (2009). Delay-Induced Stability: From Oscillators to Networks. In: Atay, F. (eds) Complex Time-Delay Systems. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02329-3_2
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DOI: https://doi.org/10.1007/978-3-642-02329-3_2
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