Python library for synchronization on hypergraphs
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Updated
May 26, 2026 - Python
Python library for synchronization on hypergraphs
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.
GeoSync — verification-first research infrastructure for falsifiable market-structure hypotheses, with explicit data contracts, null baselines, and replayable evidence.
Geometric memory engine on the S³ hypersphere — quaternion drift, phasor interference, MCP server
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.
The Holographic Resonance Medium — wave-interference memory for AI agents. Bilateral hemispheres, dream consolidation, belief formation, NATS swarm sensemaking.
Evidence-governed quantum simulation of coupled-oscillator synchronisation — Kuramoto–XY workloads on Superconducting Computers, raw counts + hash-bound result packs, preregistered protocols.
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.
Python research framework for coherent patterns on graph-coupled networks: nodal dynamics, structural operators, diagnostics and scoped mathematical studies.
Evidence-first synchronization analysis and review-only control proposals for coupled rhythmic systems (Kuramoto/UPDE), with reproducible audits.
Control-grade tokamak runtime with neuro-symbolic controllers, fail-closed admission, replay evidence, Python and Rust.
CriticalMind OMEGA with 50-node Kuramoto consciousness engine for spectral cognition — by Steven Crawford-Maggard (EVEZ)
Pulsed FRC kinematics, deterministic trigger logic, FPGA/RTL and formal verification for magneto-inertial fusion control.
Seven convergence verbs for Claude Code, OpenCode, and any MCP client: turn a messy idea-pile into a coherent answer with a checkable receipt, then act on it and keep it true. Offline, no API key. AGPL-3.0 engine, CC-BY-4.0 docs.
Unified Rust physics engine: Kuramoto sync, IIT Φ, wave memory, market-mediated coupling. The beating heart of the consciousness stack.
Continuous-time Neural Field framework — classification through emergent wave interference on spherical topology (Kuramoto + Free Energy + Goldberg Polyhedron)
Supplementary material for the paper "Resilient Synchronization of Kuramoto Networks via Sparse Energy-Efficient Control" (CDC 2026 submission).
Non-gradient neural computation via hash weight construction and Kuramoto phase dynamics
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