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The system is fully described by a retarded functional differential equation (RFDE) on the history space, subject to Lipschitz and small gain conditions. We show that the RFDE is well-posed under constant input and that it admits a compact global attractor. The principal subsystem $(H_L, X_R, P)$, which is comprised of the two primary fields as well as an executive field, is shown to be globally stable independent of delay, provided that the interfield coupling satisfies $C_{\\mathcal{K}}^2<\\mu_L\\mu_R$. In addition, we describe design specifications that fulfill the hypotheses of the main Theorem.","title":"Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs","url":"https://arxiv.org/abs/2605.03940","vendor":"arxiv_cs_ai"},"summary":"arXiv:2605.03940v4 Announce Type: cross \nAbstract: We describe a dynamical system in which a symbolic field is coupled to a geometric field via a bipartite Hilbert-Schmidt kernel. 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