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29 de abr. de 2024 · Motivated by the success of phase-amplitude reductions for ordinary diferential equations with limit cycle oscillations, there is now a growing interest in the development of analo-gous approaches for DDEs to understand their response to external forcing.
26 de abr. de 2024 · View a PDF of the paper titled Phase and amplitude responses for delay equations using harmonic balance, by Rachel Nicks and 1 other authors View PDF Abstract: Robust delay induced oscillations, common in nature, are often modeled by delay-differential equations (DDEs).
15 de may. de 2024 · Delay differential equations (DDEs) and delay partial differential equations (DPDEs) are impor-tant mathematical models that describe various real-life phenomena such as biology, control and climate prediction. In this paper, we consider the following semilinear parabolic DPDEs ∂ t u (t,x) = α∆ ) + ht,x,ut−τ t,u )),x ),u ,∈ Ω
10 de may. de 2024 · This paper presents a new postprocessing method designed to improve the numerical errors of DG approximation for linear DDEs. We have shown that this postprocessing method yields a one-order improvement in the convergence rates of \(L^\infty \)-errors.Furthermore, numerical experiments have indicated that our postprocessing method is also applicable to nonlinear DDEs and DDEs with non ...
13 de may. de 2024 · It is proved from a rigorous mathematical viewpoint that, for the very same model, the synchronized degrade-and-fire oscillations are unstable with respect to out-of-sync perturbations in absence of delay, and are otherwise asymptotically stable in presence of delay. Feedback delay has been identified as a key ingredient in the quorum sensing synchronization of synthetic gene oscillators.
30 de abr. de 2024 · We introduce a transitional delayed detached-eddy simulation (DDES) model, namely, DDES-\gamma, and analyze the numerical results of the compressor cascade V103. A comparison with the fully turbulent DDES approach emphasizes the benefit of coupling DDES with a transition model.
12 de may. de 2024 · Abstract: A simple-form scalar differential equation with delay and nonlinear negative periodic feedback is considered. The existence of several types of slowly oscillating periodic solutions is shown with the same and double periods of the feedback coeficient.
