Spectral Morphogenesis: A Stateful Spectral Dynamical System over Harmonic-Index Space

A real-time spectral effect maintaining an internal reaction-diffusion-drift state over harmonic-index space, converted to a bounded voice (S_{t+1}=Phi(S_t,X_t), Y=Psi(S)). Third in a sequence (Harmonic Shell Model = structure; Emission Cascade = voice; this = dynamics). Reaction-diffusion sound synthesis is established prior art (Martin 1996; Serquera & Miranda 2008; REAGENTE 2026); the claim is the specific coupling: RD+drift over a harmonic-index/dyadic-shell substrate, input-conditioned, with bounded resonant read-out. Includes the Morphogen implementation, an audit, and a quantitative field characterisation (liveness, spectral motion, spatial organisation, boundedness). No AI; bounded-at-source (no limiter).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-06
DOI
https://doi.org/10.5281/zenodo.22539108
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Spectral Morphogenesis: A Stateful Spectral Dynamical System over Harmonic-Index Space

Vasily Psykovsky
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
article

Spectral Morphogenesis: A Stateful Spectral Dynamical System over Harmonic-Index Space

Vasily Psykovsky
article en

Abstract

A real-time spectral effect maintaining an internal reaction-diffusion-drift state over harmonic-index space, converted to a bounded voice (S_{t+1}=Phi(S_t,X_t), Y=Psi(S)). Third in a sequence (Harmonic Shell Model = structure; Emission Cascade = voice; this = dynamics). Reaction-diffusion sound synthesis is established prior art (Martin 1996; Serquera & Miranda 2008; REAGENTE 2026); the claim is the specific coupling: RD+drift over a harmonic-index/dyadic-shell substrate, input-conditioned, with bounded resonant read-out. Includes the Morphogen implementation, an audit, and a quantitative field characterisation (liveness, spectral motion, spatial organisation, boundedness). No AI; bounded-at-source (no limiter).

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 8%
Nonlinear Dynamics and Pattern Formation
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.