Work

A robust Hopf-organized morphological boundary in initial-condition-dependent Gray–Scott phase diagrams

Year: 2026

Type: preprint

Abstract: Morphological diagrams of the Gray–Scott model are constructed in the feed–kill plane for threeinitial conditions, using spatial, temporal, and geometric metrics. Although several regions dependon the initial perturbation, the boundary between the active homogeneous state and the temporallyvariable state is suggested to be invariant: when the three boundaries are compared, 94.91% of thepoints do not exceed two vertical grid steps. The mean separation from the lower Hopf branch was7.20 grid steps, indicating that the transition is organized by this instability.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.21912000

Authors: Cruz Castillo, Carlos Alberto, Zaca Morán, Plácido, Arroyo Reyes, Brenda Lizbeth

Institution: Benemérita Universidad Autónoma de Puebla

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Laboratorio Nacional de Supercómputo del Sureste de Mexico

OpenAlex ID: W7202391298

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