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Showing 1 to 5 of 5 for “"Delay Equation"”.
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Periodic Delay Effects on Cutting Tool Dynamics
We consider a delay equation whose delay is perturbed by a small periodic fluctuation. In Particular, it is assumed that the delay equation exhibits a Hopf bifurcation when its delay Is unperturbed. The periodically perturbed system exhibits more delicate bifurcations than a Hopf bifurcation. We …
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Spectral Solution Method for Distributed Delay Stochastic Differential Equations
Stochastic delay differential equations naturally arise in models of complex natural phenomena, yet continue to resist efforts to find analytical solutions to them: general solutions are limited to linear systems with additive noise and a single delayed term. In this work we solve the case of …
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Interaction of additive and quantization noises in digital PLLs
… looked at by Gardner, that is the DPLL with a delay element integrated in the loop. This gives us the opportunity to look at this system in more detail, our analysis providing some unique insights into the variance `dip' seen by Gardner in [3]. We initially provide background on the probability …
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Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling
… case of a parameter in a dynamical system is a delay in the model equation, e.g., arising from a feedback loop, reaction time, delayed response and various other physical phenomena. Modeling such a delay comes with several challenges for the mathematical formulation, analysis, and solution. We …
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C0-Semigroup Methods for Delay Equations
In der Dissertation werden Werkzeuge zur Analyse von Wohlgestelltheit und Asymptotik von Integro-Differential- und Verzögerungsgleichungen entwickelt. Im ersten Teil der Arbeit (Kapitel 1 und 2) werden Methoden zur Bestimmung der Modulhalbgruppe (kleinste dominierende C0-Halbgruppe) einer …