Reentrant value fields as delayed coupled reaction-diffusion systems on finite graphs
We describe a dynamical system in which a symbolic field is coupled to a geometric field via a bipartite Hilbert-Schmidt kernel. 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 $C_{\mathcal{K}}^2<μ_Lμ_R$. In addition, we describe design specifications that fulfill the ...
| Authors | Karsten Bohlen |
|---|---|
| Primary category | math.DS |
| Published | 5 May 2026 |
| Last updated at source | 30 May 2026 |
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