Spinning Neuron Model — a neurodynamic framework

A continuously evolving alternative to the memoryless neuron.

Most artificial neurons compute an instantaneous output and forget it. SPNM instead gives a computational unit a state that evolves continuously in time — accumulating evidence, decaying gracefully, and resonating with rhythm rather than merely magnitude. Developed across brain-computer interfaces, distributed radar sensing, and autonomous swarms.

Dr. Eng. Abdullatif Baba Kuwait College of Science and Technology . University of Turkish Aeronautical Association, Ankara

The core idea

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Conceptual illustration computed from the model equations with illustrative parameters. It is not a measurement. © 2026 A. Baba. You may share this figure with credit and a citation to the SPNM papers.

A conventional neuron takes a weighted sum of its inputs, applies a fixed nonlinearity, and produces an output — nothing persists between one evaluation and the next except what training has fixed into its weights. SPNM units instead maintain an internal state driven jointly by a signal's amplitude and its rhythm, so the same input produces a different response depending on what came before it.

INPUT
Amplitude and frequency (or phase) of an incoming signal — an EEG rhythm, a radar return, a sensed biochemical gradient.
STATE
A continuously evolving internal variable, coupled to the input through a resonance or excitation mechanism suited to the problem.
OUTPUT
A response that reflects sustained, rhythmic alignment with the input — not a single instantaneous readout.

Four formulations, one principle

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SPNM does not name a single equation. Each domain demanded a different mathematical realisation of the same underlying idea — continuous state in place of instantaneous activation.

i.
M(t) = K·A^β(t)·f^α(t)

Algebraic amplitude–frequency coupling

An instantaneous spin-energy readout suited to classification from pre-processed features — amplitude and frequency arriving as separate, slowly varying quantities, as in EEG-derived brain–computer interfaces.

ii.
y(t) = A(t)·sin(ωt + θ)

Continuous-time oscillator

Explicit amplitude, frequency, and phase state evolving under resonance-alignment learning — built to track a signal's evolving phase, not merely sample it, for micro-Doppler radar perception.

iii.
Ė(t) = η[x(t)]² − λE(t) − ρ𝒞(t)

Resonance-gated node with evidence energy

Momentary resonance separated from accumulated confidence, shared between neighbouring nodes — enabling cooperative, multi-node sensing where a single channel cannot resolve occlusion alone.

iv.
ṡ(t) = αs(t) − βs³(t) + γu(t)

Self-exciting, cubically saturating dynamics

A bounded nonlinearity guaranteeing stability across hundreds of simultaneously interacting agents — the substrate for decentralised swarm coordination without any central controller.


Applications

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Ordered by current focus. Distributed radar sensing and electronic-warfare resilience represent the most actively developed line of work.

Brain–computer interfaces

Resonance-based classification of motor-imagery EEG, benchmarked against ANN, SNN, and QNN baselines on real BCI Competition IV data.

Real dataset evaluation

Autonomous swarm robotics

Decentralised nanorobotic swarm coordination for targeted biomedical delivery, evaluated via Monte Carlo simulation against particle-swarm and spiking-neural baselines.

Software simulation

Safety & constraint learning

Inference-time inhibitory mechanisms that keep learned "do-not-do" constraints stable under retraining, independent of the task gradient that would otherwise overwrite them.

Synthetic benchmark

Explore the model

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Two interactive simulations of the equations behind SPNM. Each runs in your browser, on its own page.

Four nodes, one decision

Four units share their accumulated evidence. Block one node, change the cooperation strength, and see what the mesh gains — and the false-alarm risk it takes on.

Simulation, not a measurement

Publications

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PUBLISHED

A Neuromorphic Stereo Radar Framework Using Spinning Neuron Models
Physical Communication 78 (2026), 103279
doi.org/10.1016/j.phycom.2026.103279 → Plain-language guide →
Enhancing Neural Rehabilitation Insights: On the Path of Bridging Artificial and Biological Neural Networks
Brain Informatics 12 (2025)
doi.org/10.1186/s40708-025-00266-x → Selected publication guide →
Neural Networks from Biological to Artificial and Vice Versa
BioSystems 235 (2024), 105110
doi.org/10.1016/j.biosystems.2023.105110 → Selected publication guide →

Coming soon

The Spinning Neuron Model (SPNM): A Nonlinear Oscillator Framework for Neuromorphic Myoelectric Control
ATSN 2026 — 3rd International Conference and Forum on Assistive Technologies for Special Needs
SPNM: A Spatially Self-Organizing Spinning Neuron Model for Brain–Computer Interfaces
Neurocomputing
Earlier version: Baba, A., 2025. Toward Adaptive Neurodynamics: A Spinning Neuron Model with Self-Organization and Quantum Synergy for Brain-Computer Interfaces. SSRN Electronic Journal.
doi.org/10.2139/ssrn.5686183 →

Selected publications →


Collaboration

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Open to research partnerships and applied collaboration with industry and defence-technology organisations working on distributed sensing, radar perception, and autonomous systems.

PROBLEM

Mobile multi-radar systems lose geometric precision the moment nodes move, and transmitting more to compensate increases exposure in contested environments.

APPROACH

Active laser self-calibration keeps node geometry coherent; SPNM-derived confidence weights sensor trust and drives transmission scheduling under threat.

STATUS

Evaluated through hardware-oriented simulation (FPGA resource and latency estimates) and, for the BCI application, a real external benchmark dataset. Physical hardware-in-the-loop testing is the next step.

Figures reported in the linked publications distinguish explicitly between results from real datasets, controlled simulation, and hardware-oriented resource-utilisation estimates.

Get in touch Read the publications