Distributed Delay Systems with Oscillations in the Time Histories

2025/10/18 by Adam Mielke, Mielke, Adam, Mads Peter Sørensen +3
Computer Science · Physics and Astronomy · Medicine · #Distributed Control Multi-Agent Systems #stochastic dynamics and bifurcation #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.2510.16646

Abstract

We design a Linear Chain Trick (LCT)-algorithm for dynamical systems with distributed time delay where the time histories contain temporal oscillations. The methodology is illustrated by means of an example in population dynamics.

Citations

• An algorithm for distributed time delay identification based on a mixed Erlang kernel approximation and the linear chain trick
• Memory Effects in Disease Modelling Through Kernel Estimates with Oscillatory Time History
• Bifurcations in economic growth model with distributed time delay transformed to ODE

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