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unstable-manifold
Manifold of points diverging from equilibrium
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blockchain scientific computing AI 技能
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behaviour-surprisal-analysis
Behaviour Surprisal Analysis
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phase-space-transformation
Coordinate changes preserving dynamics
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stable-manifold
Manifold of points converging to equilibrium
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parameter-dependent
Systems varying with external parameters
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hyperbolicity
No eigenvalues on imaginary axis (robust dynamics)
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pitchfork
Symmetric bifurcation with symmetry breaking
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bmorphism-interactome
GitHub interactome explorer for bmorphism/plurigrid ecosystem. Maps collaborations across AlgebraicJulia, Topos Institute, Anthropic, and MCP servers. Use for discovering cobordisms between research communities...
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trajectory
Path traced by solution through phase space
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lyapunov-function
Scalar function decreasing along trajectories
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hopf
Bifurcation creating limit cycle from equilibrium
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attractor
Invariant set attracting nearby trajectories
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gay-mcp
Deterministic color generation with SplitMix64, GF(3) trits, and MCP. Colors are the perceptual rendering of solved constraint systems.
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gay-monte-carlo
Gay Monte Carlo Measurements
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flow
One-parameter group of diffeomorphisms generated by vector field
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equilibrium
Fixed points where vector field vanishes
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duckdb-ies
Layer 4: IES Interactome Analytics with GF(3) Momentum Tracking
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vector-field
Assignment of vectors to points in phase space defining dynamics
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periodic-orbit
Closed trajectory in phase space
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julia-scientific
Julia package equivalents for 137 K-Dense-AI scientific skills. Maps Python bioinformatics, chemistry, ML, quantum, and data science packages to native Julia ecosystem.
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coupled-system
Interacting dynamical systems
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crn-topology
Chemical Reaction Network topology for generating and analyzing reaction
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langevin-dynamics
Layer 5: SDE-Based Learning Analysis via Langevin Dynamics
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kuramoto-model
Coupled oscillators with sinusoidal coupling
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