19Notebooks
31Examples
1Streamlit Studio
1WASM Demo

Jupyter Notebooks

#NotebookTopic
01QueueWaves Retry StormDesynchronising cascading retries in distributed systems
02Minimal DomainSimplest possible pipeline: 2 layers, 4 oscillators
03Geometry WalkRandom-walk phase coupling on torus geometry
04Bio StubMulti-scale biological oscillators (cardiac, neural, circadian)
05Manufacturing SPCStatistical process control with phase monitoring
06Stuart-Landau AmplitudePhase + amplitude dynamics, Hopf bifurcation
07Policy Petri NetDeclarative policy DSL with formal state machines
08Audit ReplaySHA256-chained JSONL audit trail and deterministic replay
09Binding SpecYAML domain binding: topology, oscillators, coupling, drivers
10Reporting AdaptersOpenTelemetry, Prometheus, Redis export pipelines
11Identity CoherenceSSGF identity model: 6 layers, 30 oscillators
12Autotune PipelineAutomatic frequency ID + coupling estimation from data
13SSGF ClosureSelf-Stabilising Gauge Field closure loop
14Chimera DetectionCoexistent coherent/incoherent cluster identification
15Spectral AnalysisHodge decomposition and Laplacian eigenstructure
16Sleep StagingAASM-compliant sleep classification from R(t)
17Power Grid StabilityInertial Kuramoto on IEEE test networks
18Market Regime DetectionFinancial synchronisation regimes, crash early warning
19Swarmalator DynamicsSpatial + phase coupling, emergent swarm patterns

Standalone Examples

ExampleDescription
power_grid_stability.pyIEEE 14-bus inertial Kuramoto with swing equation
neuroscience_eeg.pyEEG band→phase extraction, seizure detection
cardiac_rhythm.pyGap-junction coupling, arrhythmia detection
plasma_control.pyMHD mode coupling, multi-scale control
market_regime_detection.pyFinancial synchronisation, crash early warning
swarmalator_dynamics.pySpatial + phase coupling, 5 emergent patterns
stuart_landau_bifurcation.pyHopf bifurcation, amplitude death
inverse_kuramoto.pyInfer K and ω from observed dynamics
hodge_decomposition.pySplit K into gradient/curl/harmonic
plasticity_learning.pyThree-factor Hebbian coupling adaptation
stochastic_resonance.pyNoise-enhanced coherence, D* auto-tuning
supervisor_advantage.pyMPC + regime FSM vs open-loop comparison
agent_coordination.pyMulti-agent consensus via phase coupling
traffic_flow.pySignal coordination = phase synchronisation
epidemic_sir.pySIR wave synchronisation
scaling_showcase.pyN=4 to N=10,000 performance scaling
neurocore_cosimulation.pySC-NeuroCore ↔ Phase Orchestrator bridge
multi_engine_comparison.pyAll 12 engines on same problem
+ 10 more (failure recovery, laser, satellite, audit, gRPC, etc.)

Interactive Tools

SPO Studio (Streamlit)
Browse 36 domainpacks. Tune K/ζ/Ψ with sliders. Live R(t) chart. Engine comparison mode. Run locally: streamlit run tools/spo_studio.py
WASM Browser Demo
66 KB Kuramoto engine compiled to WebAssembly. Runs entirely in the browser. No server required. Interactive phase visualisation.

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