Symplectic Function Model Dynamics
Year: 2025
Type: article
Abstract: We develop a symplectic geometric framework for function models, treating functional model space as a phase space equipped with a Hamiltonian structure derived from an objective functional. Discrete morph operations are shown to generate symplectic or quasi-symplectic transformations, while small morphs converge to Hamiltonian flows. This provides a physically motivated mechanics for model evolution. Throughout this note, the term function model may be interpreted as a concrete instance of a functor acting between structured model spaces.
Author: Harby, John
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7124574006
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