Resonating delay equation

We propose here a delay differential equation that exhibits a new type of resonating oscillatory dynamics. The oscillatory transient dynamics appear and disappear as the delay is increased between zero to asymptotically large delay. The optimal height of the power spectrum of the dynamical trajector...

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Bibliographic Details
Published in:Europhysics letters 2022, Vol.137 (2), p.23001
Main Author: Ohira, K.
Format: Article
Language:English
Subjects:
Delay
Differential equations
Trajectory optimization
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Summary:We propose here a delay differential equation that exhibits a new type of resonating oscillatory dynamics. The oscillatory transient dynamics appear and disappear as the delay is increased between zero to asymptotically large delay. The optimal height of the power spectrum of the dynamical trajectory is observed with the suitably tuned delay. This resonant behavior contrasts itself against the general behaviors where an increase of the delay parameter leads to the persistence of oscillations or more complex dynamics.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/ac4ba3