A Global Attractor for the Developmental Flow

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Robert Moser
DOI: 10.5281/zenodo.18971006
Cited by: 4
References: 1

Abstract

Abstract: We prove the existence of a global attractor for the discrete developmental flow generated by the movement operator of developmental geometry. The developmental configuration space is realized as a complete metric space using the rank–2 spatial coordinates and oscillatory coordinates of M1–M4. The movement operator of M5 is shown to generate a discrete semigroup. Using the total potential of M6, we prove dissipativity and asymptotic compactness. The abstract global attractor theorem then yields a unique stratified attractor for the developmental flow.

Fields of Study & Subjects

Piezoelectric Actuators and Control Mathematical Biology Tumor Growth Stability and Controllability of Differential Equations

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
11 March 2026
Language
EN
Document type
Preprint