Kuramoto Phase-Coupled Oscillator Attention in Transformers
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Updated
Jan 10, 2026 - Python
Kuramoto Phase-Coupled Oscillator Attention in Transformers
Full datasets and simulation code for the manuscript "Short- and long-range connections differentially modulate the small-world network’s dynamics and state"
[Paper] Learning to Predict Synchronization code repository.
Geometric memory engine on the S³ hypersphere — quaternion drift, phasor interference, MCP server
Engine for modeling, simulation and measurement of multiscale networks of coherence through structural operators. https://chatgpt.com/g/g-67abc78885a88191b2d67f94fd60dc97-tnfr-resonant-fractal-nature-theory
Experimental quantitative research platform exploring geometric market signals and algorithmic trading system architecture.
SCPN Control — Neuro-Symbolic Stochastic Petri Net Controller for Tokamak Plasma Control
Custom 18-DoF hexapod robot — Kuramoto-CPG locomotion controller, real-time gait visualiser, IMU heading-hold autonomous firmware, full mechanical CAD, and a 34-test verification suite.
A mathematical framework for measuring the dynamics of consciousness. The framework uses a composite index of scale-free temporal organisation, cross-frequency organisation, and metastability.
Geometric framework for extracting structure, transitions, and stability from dynamical systems.
Supplementary material for the paper "Resilient Synchronization of Kuramoto Networks via Sparse Energy-Efficient Control" (CDC 2026 submission).
Reduce LLM inference compute by 4x with no accuracy loss. Oscillatory adapter for pretrained Transformers.
Applied Math Lab
Domain-agnostic coherence control compiler built on Kuramoto/UPDE phase dynamics
Quantum simulation of coupled-oscillator synchronisation on IBM Heron r2 (156 qubits). Rust-accelerated (5401×). 20/20 hardware experiments. CHSH S=2.165. First heterogeneous Kuramoto-XY on quantum hardware.
Continuous-time Neural Field framework — classification through emergent wave interference on spherical topology (Kuramoto + Free Energy + Goldberg Polyhedron)
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